What are the 5 types of polynomial?

Answers

Answer 1

Answer: Monomial, binomial,trimonial,  polynomials

Step-by-step explanation:


Related Questions

What are the 3 parameters of range function?

Answers

Three parameters, start value, stop value, and step value, are required for the range() method in Python to function. After incrementing the values by the amount specified in the step value .

what is range ?

The range of values between a given data collection's top and lowest values is known as the statistical range. The difference between the highest and lowest observation is another method of expressing the range. By deducting the highest value from the lowest, one may calculate the sample interval. A crucial indicator of variability for continuous variables is the sample range.

here

startNumber (optional): The series of integers that are returned begins with this number.

stopNumber: The list of integers that range() provides comes to an end before this one.

stepValue (opportunity): a number that is an integer and represents the difference between each integer in the series.

To know more about range visit :-

https://brainly.com/question/28135761

#SPJ4

SV≅SW, WX≅UV, RX≅TU, and RS≅ST. Complete the proof that △RVX≅△TWU.

Answers

The reasons and statements that completes the two-column table method used to prove that triangle ΔRVX is congruent to ΔTWU (ΔRVX ≅ ΔTWU) are as follows;

Statement                                   [tex]{}[/tex]         Reason

12. UW = VX                   [tex]{}[/tex]                   Transitive Property of Equality

13. ΔRVX ≅ ΔTWU [tex]{}[/tex]                           SSS

What are congruent triangles?

Two triangles are congruent if the lengths of the three sides of one triangle are the same as the lengths of the three sides of the other triangle.

The details and reasons for the statements used to prove the congruency of the ΔRVX and ΔTWU are as follows;

RV = RS + SV; Additive property of length

The additive property of length states that a point B can be located on a segment AC only if, we get; AC = AB + BC

RV = ST + SW Substitution

The substitution property states that if a = b then a can substitute b in equations and expressions, such that the values of the expressions and equations remain the same.

RV = TW Transitive Property of Equality

The transitive property of equality states that if a = b and b = c, then a = c

ΔRVX ≅ ΔTWU SSS

The SSS (Side-Side-Side) congruency postulate states that two triangles are congruent if the lengths of all three sides of one triangle are congruent to the lengths of the sides of the other triangle.

Learn more about the conditions for the congruency of triangles here:

https://brainly.com/question/3079413

#SPJ1

two angles form a linear pair. one angle measure is 36° more than the other. find both angle measures.​

Answers

The measures of the angles are 72°, and 108°.

What is Angle Sum Property?

The sum of all angles of a triangle is equal to the angle of a straight line i.e. 180°. If we have a triangle ABC, then the Sum of angles A , B, and angle C will be 180 ° and the value of the exterior angle is equal to the sum of two interior opposite angles.

We have,

two angles form a linear pair. one angle measure is 36° more than the other.

If two angles form a linear pair, then the sum of the degree measure of the angles is 180°.

Let x be the measure of the smaller angle.

Then,

36° + x is the measure of the other angle.

So,

36° + x  + x = 180°

2x = 180° - 36°

2x = 144°

x = 144°/2

x = 72°

the measure of the smaller angle is  x = 72°,

the measure of the other angle is

36° +  72° = 108°

Hence, the measures of the angles are 72°, and 108°.

To know more about the Angle sum property visit,

brainly.com/question/21099419

#SPJ1

Is 3x2 5x 9 x2 7x 3 a quadratic equation?

Answers

Yes, this equation is a quadratic equation.

What is a quadratic equation?

Quadratic equation are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx  + c = 0 where a, b, c ∈ R and a ≠ 0.

The given equation 3x² + 5x + 9x² + 7x + 3 = 0 can be written as 12x² + 12x +3 = 0, which is a general form of quadratic equation where a = 12, b = 12 and c =3.

Hence, the equation is a quadratic equation.

To learn more about quadratic equations click:

https://brainly.com/question/29011747

#SPJ4

What is the slope and y-intercept of y =- 3x 4?

Answers

The slope of the linear equation y = -3x + 4 is -3, and the y-intercept is 4.

To calculate the slope of a linear equation, the formula is m = (y2 - y1) / (x2 - x1). The slope is calculated by selecting two points on the line, (x1, y1) and (x2, y2), and then subtracting the first point's y-value from the second's and dividing the result by the first point's x-value minus the second's. For the equation y = -3x + 4, the y-intercept is 4, which is the b-value in the equation y = mx + b. The y-intercept is the point where the line crosses the y-axis. To calculate the y-intercept, set x = 0 and solve for y. For the equation y = -3x + 4, when x = 0, y = 4. Therefore, the y-intercept is 4.

Learn more about slope and y-intercept here :

https://brainly.com/question/19824331

#SPJ4

Which of the following is quadratic equation 3x2 5x 9 x2 7x 3?

Answers

Yes, the given equation is quadratic equation.

Here it has been given that,

3x² - 5x + 9 = x² - 7x + 3

Now, after solving  above equation further we obtain,

2x² + 2x + 6 = 0

From the above equation the factor 2 is taken out as it is common and now the equation looks like : x² + x + 3 = 0

The coefficients of the quadratic equation are compared  and if it meets the criteria then it is quadratic equation otherwise not.

Now as we can see, the above equation clearly represents a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 1 and c = 3.

Hence, the above given equation is a algebraic quadratic equation.

Which of the following is quadratic equation 3x² - 5x + 9 = x² - 7x + 3 ?

To learn more about the quadratic equation click here:

brainly.com/question/17177510

#SPJ4

Marvin is playing a solitaire game with marbles. There are n bowls (for some positive integer n), and initially each bowl contains one marble. Each turn, Marvin may eitherremove a marble from a bowl, orchoose a bowl A with at least one marble and a different bowl B with at least as many marbles as bowl A, and move one marble from bowl A to bowl B.The game ends when there are no marbles left, but Marvin wants to make it last as long as possible.Prove that the game must end after at most n(n+1)/2 turns.Prove that for every positive integer k, there is an n such that Marvin can make the n-bowl game last for at least kn turns.Marisa comes along and asks to join the game. Marvin and Marisa revise the rules: they will alternate taking turns, starting with Marisa. When the game ends, whoever took the last turn is the winner.Prove that among any three consecutive values of n, there is at least one value for which Marvin has a winning strategy.

Answers

Among any three consecutive values of n, there is at least one value for which Marvin has a winning strategy.

For the first part of the problem, we can prove that the game must end after at most n(n+1)/2 turns by induction. Base case: When there is only one bowl, Marvin can remove the single marble in one turn, so the game ends after one turn.

Inductive step: Suppose the game ends after at most k(k+1)/2 turns when there are k bowls. We will show that the game ends after at most (k+1)(k+2)/2 turns when there are k+1 bowls. If Marvin removes a marble from a bowl, then the number of bowls decreases by one and the game must end after at most k(k+1)/2 turns by the inductive hypothesis.

If Marvin moves a marble from bowl A to bowl B, where bowl A has at least one marble and bowl B has at least as many marbles as bowl A, then the number of marbles in bowl A decreases by one and the number of marbles in bowl B increases by one. Since bowl B has at least as many marbles as bowl A, the number of bowls remains unchanged. Thus, the game must still end after at most k(k+1)/2 turns.

In either case, the game ends after at most k(k+1)/2 turns, so the game must end after at most (k+1)(k+2)/2 turns when there are k+1 bowls, as desired.

For the second part of the problem, we can prove that for every positive integer k, there is an n such that Marvin can make the n-bowl game last for at least kn turns by constructing a strategy.

Suppose Marvin wants to make the n-bowl game last for at least kn turns. He can do this by making sure that there are always at least k marbles in each bowl. To do this, Marvin can start by placing k marbles in the first bowl, k-1 marbles in the second bowl, and so on, down to 1 marble in the nth bowl.

On each turn, Marvin can choose a bowl with at least k marbles and move one marble to a bowl with fewer than k marbles. For example, if there are k+1 marbles in the first bowl and k marbles in the second bowl, Marvin can move one marble from the first bowl to the second bowl. This keeps the number of marbles in each bowl at least k. Since Marvin can take at least one turn per bowl, the game will last for at least kn turns.

For the third part of the problem, we can prove that among any three consecutive values of n, there is at least one value for which Marvin has a winning strategy.

Let n be a positive integer. We will show that either Marvin has a winning strategy for the n-bowl game or Marisa has a winning strategy for the (n+1)-bowl game.

If Marvin has a winning strategy for the n-bowl game, then he can win the n-bowl game by following his winning strategy.

If Marvin does not have a winning strategy for the n-bowl game, then Marisa has a winning strategy for the n-bowl game. In this case, Marvin can adopt Marisa's winning strategy for the n-bowl game as his own winning strategy for the (n+1)-bowl game.

Learn more about Induction at:

brainly.com/question/24672369

#SPJ4

Is 1 the biggest prime number?

Answers

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself, so 1 is not consider as a prime number.

Therefor 1 is not the biggest prime number.

What is a prime number?

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

What is whole number?

Complete numbers, the range of numbers that includes zero and natural numbers and not a decimal or fraction.

To learn more about prime numbers:

brainly.com/question/9315685

#SPJ4

Duncan works at a banquet hall and is setting tables for a wedding reception. He starts with a pile of 144 salad plates, and he places 10 salad plates on every table he sets. Write an equation that shows how the number of salad plates remaining, y, depends on the number of tables Duncan sets, x.

Answers

The equation that shows the number of plates that is remaining would be = Y = (Total salad plate/X) - 4.

What is a banquet hall?

A banquet hall is a building constructed is a way that various celebrations and functions can be held in such a place such as wedding receptions.

The total number of salad plates available = 144

The number of salad plate per every table set = 10

The number of salad plates remaining = y

The number of tables set by Duncan = x.

If 1 table = 10

X tables = 144

make X tables the subject of formula;

X tables = 144/10

X tables = 14 tables (approximately)

But 14 × 10 = 140 salad for the 14 tables

The remaining salad plates is 4 plates.

Y = (Total salad plate/X) - 4

Therefore, the number of salad plates remaining which is 4 depends on the number of tables Duncan sets which is 10.

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

If this net were to be folded into a cube, which number would be opposite of the number 1

Answers

Answer:

Number 5

Step-by-step explanation:

When the net is folded, 3 will be folded left and up, with 4 being the base. 6 will be folded right, with 2 being the top of the cube.

So, we have pairs

2 and 4

6 and 3

1 and 5

So, the opposite of the number 1 is the number 5

if Z1=(x1,y1) and Z2=(x2,y2) where Z1 and Z2€C then Z1 + Z2=?

Answers

Answer:

Step-by-step explanation:

If Z1 = (x1, y1) and Z2 = (x2, y2) are complex numbers, then their sum is given by:

Z1 + Z2 = (x1 + x2, y1 + y2)

For example, if Z1 = (3, 4) and Z2 = (-2, 5), then their sum is:

Z1 + Z2 = (3 + (-2), 4 + 5) = (1, 9)

In general, to add two complex numbers, we add their real parts and their imaginary parts separately.

The value of  [tex]z_1[/tex] +  [tex]z_2[/tex]  = ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex])

What is Complex Number?

Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are real numbers and I is a imaginary number called a "iota."

Given:

[tex]Z_1=(x_1,y_1)[/tex] and [tex]Z_2=(x_2,y_2)[/tex]

Also, we know by Complex number

[tex]z_1[/tex] = [tex]x_1[/tex] + i [tex]y_1[/tex]

and, [tex]z_2[/tex] = [tex]x_2[/tex] + i [tex]y_2[/tex]

Then, [tex]z_1[/tex] +  [tex]z_2[/tex]

= ( [tex]x_1[/tex] + i [tex]y_1[/tex]) + ( [tex]x_2[/tex] + i [tex]y_2[/tex])

= ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex])

Hence, the addition gives  ( [tex]x_1[/tex] + [tex]x_2[/tex] )+ i ( [tex]y_1[/tex] + [tex]y_2[/tex]).

Learn more about Complex Number here:

https://brainly.com/question/20566728

#SPJ2

Question In picture

Answers

this was an accident how do I delete?

Collin states that 8+(16+9)=(8+16)+9 is always true. which of the following properties would prove Collin is correct?
Transitive Property
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition

Answers

Answer: Associative Property of Addition

The property states:

(a+b)+c=a+(b+c)

Thus, (8+16)+9=8+(16+9) via the associative property of addition.

19)
Is the product of √8 and √98 rational or irrational? Justify your answer.

Answers

Answer:

They are both irrational

Step-by-step explanation:

so the square root of 8 is 2.82842712475 which is irrational because it is not a perfect square or repeated decimal pattern.

the square root of 98 is also irrational for the same reason but the square root is 9.89949493661.

The product of two √8 and √98 irrational number is irrational.

What is Rational Number?

A rational number is any number that can be expressed as a ratio (or fraction) of two integers.

Any real number that cannot be represented as the quotient of two integers is irrational.

Given:

The rational number are : √8 and √78

As, the √8=  2.82842712475 which is irrational because it is not a perfect square or repeated decimal pattern.

and, √98 = 9.89949493661 is also irrational.

Hence, the product of two irrational number is irrational.

Learn more about rational number here:

https://brainly.com/question/24398433

#SPJ2

What are the 4 types of translations in math?

Answers

The four fundamental translations or transformations in geometry are translation, reflection, rotation, dilation, and resizing.

How many translations are there in math?

For a function graph, four different transformations are feasible (and translation in math is one of them). When we translate, we move a figure in any direction. When we reflect, we turn a figure or a line over. The act of rotating a figure around a point is known as rotation.

In mathematics, a translation merely moves a shape up, down, left, or right without turning it. The image or the translated shapes seem to be the same size as the original shape, proving that they are congruent. Simply said, they have changed their path or directions.

Three types of translation are described in Jakobson's On Linguistic Aspects of Translation (1959, 2000): intralingual (inside one language, such as rewording or paraphrasing), interlingual (between two languages), and intersemiotic (between sign systems).

To learn more about translations refer to :

https://brainly.com/question/1046778

#SPJ4

How do you find domain and range without graphing calculator?

Answers

We can find the domain and range of the function without the help of graphing calculator by the following steps mentioned below.

What are domain and range?

The domain of a function is the set of values that we are allowed to enter into our function.

This set consists of the x values for a function like f. (x).

The set of values that a function can accept as input is known as its range.

The function outputs this list of values once we enter an x value.

The domain of a function refers to the set of input values.

These numbers, which stand in for the independent variable, are corresponding to the x-axis value.

The range of a function refers to the set of output values.

These values, which indicate the dependent variable, are corresponding to the y-axis value.

Find a function's domain and range without graphing as follows:

(A) Place y = f(x)

(B) In terms of y, solve the equation y = f(x) for x. Let x = g (y)

(C) Discover the values of y and its domain of f for which the values of x, as determined by x = g(y), are real.

(D) The range of the supplied function is the collection of y values produced in step 3.

Therefore, we can find the domain and range of the function without the help of graphing calculator by the following steps mentioned above.

Know more about the domain and range here:

https://brainly.com/question/1942755

#SPJ4

Hi! i need some help:)

Answers

Answer:

y=1/2x+-2

Step-by-step explanation:

2. A swimming pool has a volume of 32,700 cubic feet. How many gallons of water doesthe pool hold?A. 4,371.66 galB. 239,360 galC. 244,596 galD. 4,278.07 gal

Answers

The pool holds about 245,000 gallons. Therefore, option (c) 244,596 gal is correct.

To find the number of gallons of water the pool holds, we need to convert the volume in cubic feet to gallons.

One cubic foot is equal to 7.4805194805 gallons, so to find the number of gallons in the pool, we can multiply the volume in cubic feet by the conversion factor:

1 cubic foot= 7.4805194805 gallons

gallons = 32,700 cubic feet * 7.4805194805 gallons/cubic foot

= 244,999.99968 gallons

Rounded to the nearest gallon, the pool holds about 245,000 gallons.

To learn more about Unit Conversion,

visit; brainly.com/question/11543684

#SPJ4

One cubic foot is equal to 7.4805194805 gallons, so to find the number of gallons in the pool, we can multiply the volume in cubic feet by the conversion factor:

1 cubic foot= 7.4805194805 gallons

gallons = 32,700 cubic feet * 7.4805194805 gallons/cubic foot

= 244,999.99968 gallons

Rounded to the nearest gallon, the pool holds about 245,000 gallons.

What is the correct answer to 2 5 * 4 8 4 ⁄ 5?

Answers

The correct answer to the expression is 10.

By using BODMAS rule,

BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction in its entire form. Therefore, in BODMAS, the orders or exponents are given the second choice here (x n ) A method or sequence called the BODMAS rule is used in mathematics to simplify arithmetic expressions with many operators. When there are several operators in an equation, we must first determine the correct sequence in which to solve the equation. The BODMAS rule assists in the solution of this issue.

Given expression,

2+5*4-8/⅘

=2+20- 40/4    

= 22-10

= 10

Hence, the correct answer to the expression is 10.

To learn more about the BODMAS click here :

brainly.com/question/29795897

#SPJ4

A system of two linear equations is graphed on a coordinate plane. if the system of equations has infinitely many solutions, which statement must be true? A On the graph, there are no points (x,y)\left(x,y\right)(x,y) that satisfy both equations. B On the graph, there is exactly one point (x,y)\left(x,y\right)(x,y) that satisfies both the equations. C On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations cannot satisfy the other equation. D On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations must also satisfy the other equation.

Answers

Answer:

Step-by-step explanation:

D?

What is the ordered pair for Point N?
Enter the coordinates in the boxes.

Answers

The ordered pair for Point N is (6,9).

What is the ordered pair?

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.

Here, we have

Given the graph and we have to find the coordinates of all points.

N = (6,9)

M = (5,7)

R = (9,8)

D = (2,6)

C = (1,4)

B = (2,1)

A = (6,2)

Q = (7,5)

Hence, the ordered pair for Point N is (6,9).

To learn more about the ordered pair from the given link

https://brainly.com/question/1634684

#SPJ1

a 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1150 rev/min, and drives a gear at a speed of 575 rev/min. find the number of teeth on the gear and the theoretical center-to-center distance.

Answers

No. of teeth on the pinion(TP)=17.

Diametral pitch(pd)=8 teeth/in.

Rotational speed of the pinion(NP)=1120 rev/min or 1120 rpm.

Rotational speed of the gear(NG)=544 rev/min or 544 rpm.

To calculate:

No. of teeth on gear(TG) & theoretical centre to centre distance(C).

Solution:

We know that;

Diametral pitch(pd)=No. of teeth in the gear/Diameter of the gear

For pinion,

pd=TP/DP  

Pittiong the values in above eq.

8 teeth/in =17/DP    =>DP=17/8 in.

or DP=2.125 in.

Gear ratio(G)=(NP/NG)=(TG/TP)=(DG/DP)

=>(NP/NG)=(TG/TP)

=>1120/544 =TG/17 =>TG=35

No. of teeth the gear(TG)=35 {Ans}

Also from gear ratio formula,

(NP/NG)=(DG/DP)

=>1120/544=DG/2.125

=>DG=4.375 in.

In the next fig. I have drawn a rough diagram of the pinion and gear arrangement which will help you to understand how to calculate the centre to centre distance(C)

centre to centre distance,C=rP+rG {Where rP and rG are the radii of pinion and gear respectively}

=>C=(DP+DG)/2

Diameter =2*radius}

=>C=(2.125+4.375)/2 in. =3.25 in.

Theoretical centre to centre distance (C)=3.25 in.

Learn more about Diametral pitch to visit this link

https://brainly.com/question/18521964

#SPJ4

Solve for x and graph the solution on the number line below.
1≥-x-1 and -x-1≥ −13

Answers

The solution to both inequality is 2 ≥  -x and -x≥ 14

How to calculate  inequality ?

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

We have the equation 1≥-x-1 and -x-1≥ −13

Let us solve the inequality

1 ≥ - x - 1

1 + 1 ≥ -x

2 ≥  -x

Now, let us solve the inequality

-x-1≥ −13

-x+13 ≥ -1

-x≥ 14

Therefore the solution to both inequality is 2 ≥  -x and -x≥ 14

To learn more about inequality refer to :

https://brainly.com/question/24372553

#SPJ1

a sampling plan in which an initial sample is selected and the audit team either draws a final conclusion or selects additional items before drawing a final conclusion is called

Answers

a sampling plan in which an initial sample is selected and the audit team either draws a final conclusion or selects additional items before drawing a final conclusion is known as Sequential sampling

Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary. This sampling strategy offers the researcher limitless opportunities to adjust his research procedures and obtain a keen understanding of the study he is currently conducting.

Sequential sampling has a number of benefits, including limitless options for sample size selection and sampling schedule, little cost and labor requirements, and the ability to make minor alterations and modifications to the primary research even during the early stages of the project.

Learn more about Sequential sampling here:https://brainly.com/question/13219833

#SPJ4

Write a rule for the reflection.

(x,y) = ( , )

Answers

The rule of reflection for the points (x, y) for the graph is (y, - x).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The preimage of the given line has points(x, y), B(2, 3) and C(1, 6).

Now, The graph has been translated down 2 units and reflected 180° along the x-axis so the image of the graph has points(y, - x) B'(3, - 2) and C'(6, - 1).

learn more about transformations here :

https://brainly.com/question/11709244

#SPJ1

What are the zeros of the polynomial 4x 2 }+ 52 √ 2x 3 ?`?

Answers

The zeros of the polynomial are 1/2√2 and -3/√2.

What is a zero of a polynomial?

The zeros of a polynomial are all the x-values that make the polynomial equal to zero.

Given, the polynomial is 4x² + 5√2x - 3.

We have to find the zeros of the polynomial,

Let 4x² + 5√2x - 3 = 0

On factoring,

= 4x² + 6√2x - √2x - 3

= 2√2x(√2x + 3) - (√2x + 3)

= (2√2x - 1)(√2x + 3)

Now, 2√2x - 1 = 0

2√2x = 1

x = 1/2√2

Also, √2x + 3 = 0

√2x = -3

x = -3/√2

Therefore, the zeros of the polynomial are 1/2√2 and -3/√2.

For more references on zeros of the polynomial, click;

https://brainly.com/question/29775881

#SPJ4

x557x55 is divisible by 11. find the value of x​

Answers

Step-by-step explanation:

A number is divisible by 11 if and only if the difference between sum of alternate digits is divisible by 11.

Here the number is x557x55. The difference between the sum of alternate digits is,

[tex]\longrightarrow S=(x+5+x+5)-(5+7+5)[/tex]

[tex]\longrightarrow S=2x-7[/tex]

By statement, the number x557x55 is divisible by 11 if and only if [tex]S=2x-7[/tex] is divisible by 11.

Let,

[tex]\longrightarrow 2x-7=11a[/tex]

[tex]\longrightarrow 2x=11a+7\quad\dots(1)[/tex]

We separate the RHS as the following.

[tex]\longrightarrow 2x=10a+a+6+1[/tex]

[tex]\longrightarrow 2x=10a+6+a+1[/tex]

[tex]\longrightarrow 2x=2(5a+3)+(a+1)[/tex]

In this question, the LHS is an even integer since x is a digit, i.e., integer. So RHS should also be an even integer.

Since [tex]2(5a+3)[/tex] is even, [tex]a+1[/tex] must be even. So let,

[tex]\longrightarrow a+1=2k[/tex]

[tex]\longrightarrow a=2k-1[/tex]

Then (1) becomes,

[tex]\longrightarrow 2x=11(2k-1)+7[/tex]

[tex]\longrightarrow 2x=22k-4[/tex]

[tex]\longrightarrow x=11k-2\quad\dots(2)[/tex]

So this is expression for x, for any integer k.

As x is a digit of x557x55, x is a single digit integer, so its value lies in between 1 and 9 [x ≠ 0 because it is also the left most digit of x557x55], i.e.,

[tex]\longrightarrow 1\leq x\leq 9[/tex]

From (2),

[tex]\longrightarrow 1\leq 11k-2\leq 9[/tex]

Adding 2,

[tex]\longrightarrow 3\leq 11k\leq 11[/tex]

Dividing by 11,

[tex]\longrightarrow\dfrac{3}{11}\leq k\leq 1[/tex]

Since k is an integer, we get,

[tex]\longrightarrow k=1[/tex]

Then from (2),

[tex]\longrightarrow x=11(1)-2[/tex]

[tex]\longrightarrow\underline{\underline{x=9}}[/tex]

Hence the value of x is 9.

What is the mean of 4 6 8 10 12 14 *?

Answers

The mean of the given observation is 9.

What are the mean, median, and example?

The ratio between the total number of observations in a data set and the sum of all observations is known as the mean in statistics. The most frequent number, or the one that happens the most frequently, is known as the mode.

                   Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

Mean = Sum of all the observations/Number of observations

Mean = 4+6+8+10+12+14/6

Mean = 54/6

Mean = 9

Hence, the mean of the given observation is 9.

Learn more about mean in mode

brainly.com/question/6813742

#SPJ4

What number is 10 more than 37?

Answers

10 more than 37 will be Addition of 10 and 37 which is supposed to be 10 plus 37 = 47.

Addition is the process of combining items and counting them as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms addends and total both refer to the numbers that are added and the result of the operation.

The SUM is the result or conclusion that results from adding two or more integers. Addends are the numbers that are added.

We simply changed "more than" to "plus" and found the answer to the straightforward math issue. It is equivalent to 10 + 37 to add 10 to 37. Therefore, the answer is 47 once more.

Learn more about Addition:

brainly.com/question/29464370

#SPJ4

William is a window washer and needs to lean his ladder against the house to reach the windows at the top. he sets the ladder 8 feet from the house which is 14 feet tall. what is the minimum length ladder he needs to use to reach the top of the house?
a² + b² + c²

Answers

Answer:

Step-by-step explanation:

you will need a 10ft tall ladder

i hope that helped

Other Questions
I need help please fast ................. Hey yall answers in the picture ABC or D. Plz help Describe Beneatha's attitude as she models the Nigerian robes that Asagaibrought her. Story: A raisin in the sun- Pleas help Asap You expect to receive a payout from a trust fund in 3 years. The payout will be for $10,200. You plan to invest the money at an annual rate of 6.2 percent until the account is worth $17,800. How many years do you have to wait from today What are the five prominent religions in Asia? Which religion do you *NOT* find? who ever answers this will get a brainlest Find the area of the circle A consistent response in many organisms to changing environmental temperatures is the restructuring of cellular membranes.In some fish, phosphatidylethanolamine (PE) in the liver microsomal lipid membrane contains predominantly docosahexaenoic acid, 22:6 at C-2 of the glycerol-3-phosphate backbone and then either a saturated or monounsaturated fatty acyl group at C-1. Which of the following statements are False? a. At 10 degrees Centigrade a lower percentage of PE molecules contain saturated fatty acyl groups at C-1 when compared to fish acclimatized at 30 degrees Centigrade. b. At 10 degrees Centigrade a higher percentage of PE molecules contain saturated fatty acyl groups at C-1 when compared to fish acclimatized at 30 degrees Centigrade. . At 30 degrees Centigrade a lower percentage of PE molecules had monounsaturated acyl groups at C-1 compared to that observed at 10 degrees Centigrade. d. At 30 degrees Centigrade a higher percentage of PE molecules had monounsaturated acyl groups at C-1 compared to that observed at 10 degrees Centigrade. e. The purpose of membrane restructuring with a change in temperature is to maintain fluidity of the membrane. I dont really understand this question if someone could give me the explanation please.Please only answer the question if you know the answer thank you. Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 18and AC 36, what is the length of AD?AD3618B Decide whether each sentence needs a positive or negative word. Drag a word to complete the sentence. Answers may be used once or not at all. Janae solved the equation 3.67 = c 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work. plzzz help me ill give yo a brainlyiest If 12 cookies cost $3, how much would I pay for 5 cookies? Set up a proportion and solve.$1.00B.$1.25C.$1.50D.$1.75 Why did Santa Anna demand the execution of the Texans at Goliad? Please Help!!!!I will give brainly Find x if these are similar Q. Identify the slope-intercept equation Create a script using long shot, eye level shot, high angle shot, zoom camera shot, two shot, and extreme close up. If two micro coulomb of charge is flowing in a circuit for 5 minutes. What is the amount of current in the circuit? Which part of the present-day United States did Zebulon Pike explore during his second expedition?