Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
X
6
-
X
The equation has Select an option
0
attempt 1 out of 2

From the graph we got two equations of line -3x+ y -9 =0 and x+y-7 =0

and solution of these equations are x = -1/2 and y= 15/2

An algebraic expression that represents a number of points which creates a line in the XY coordinate system or another coordinate plane.

we are given a graph containing two equations of line named a and b. The lines are plotted in XY coordinate system.

From the graph, we can detect two locations of point (5, 6) and (1, -6) for line a  and detect two location of point (1, 6) and (6, 1) for line b.

As per the formula for equation of straight line, a line passes through two points can be written as y-y₁ = [(y₂-y₁) / (x₂-x₁)] × (x- x₁)

hence, line a can be written as (y- 6) = [(-6 -6) / (1-5)] × (x- 5)

                                                 y-6 = 3(x-5)

                                               y-6 = 3x -15

                                             y-3x -9 = 0

In the next, line b can be written as (y-6) = [(1-6) / (6-1)] × (x-1)

                                                       y-6 = -1(x-1)

                                                     y-6 = -x+1

                                                   x+ y -7 =0

 now, we get two equations, -3x+ y -9 =0

                                                  x+ y -  7 =0

Solving these two equations by addition method, we get x= -1/2 and y = 15/2

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Answer:

Step-by-step explanation:

You want to know the translation effected by subtracting -2 from the x-coordinate, and subtracting -4 from the y-coordinate of the vertices of a triangle.

You have correctly observed that the triangle vertex (-2, 0) is translated to (0, -4) by the subtraction of the translation matrix. That is, the x-coordinate is increased by 2, moving the point 2 units to the right, while the y-coordinate is decreased by 4, moving the point 4 units down.

The translation is to the right by 2 units, and a translation down by 4 units.

Answer: 2 units right  4 units down

Step-by-step explanation: trust

The correct way to represent this end behavior is,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

By observing the graph when x is approaching negative infinity y is approaching positive infinity.

And, when x is approaching positive infinity y is approaching negative infinity.

This can be symbolically expressed as,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

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The quotient is (6x + 1) and the remainder is (-7x + 1).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given A cubic polynomial 24x³ - 14x² + 20x + 6 divided by 4x² - 3x + 5.

So, (24x³ - 14x² + 20x + 6)/(4x² - 3x + 5).

= (4x² - 3x + 5)(6x + 1) + (-7x + 1)/(4x² - 3x + 5) in rhe form N = DQ + R.

The same applies to the division of polynomials.

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Answer:

30 quarts= 0.8057 bushels

rounded to the nearest hundredths = 0.81

Answer:

y = mx - 4

Step-by-step explanation:

m is the slope, while -4 is the y intercept

Answer:

3.945

Step-by-step explanation:

Answer:

800 hrs = 33.3 days

Step-by-step explanation:

1 day = 24 hours

800 hours = 800/24 = 33.33

Round to the nearest tenth:

33.3 days

3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948

The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.

The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.

According to the rational root theorem, the possible roots of a polynomial of degree three and above are,

± (coefficient of the last term)/(coefficient of the first terms).

Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,

The factors of the constant term divided by the factors of the first terms,

So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).

So, The possible roots are ± (1, 2, 3) and so on.

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The expression 6² - 2(5 + 1 + 3) after evaluation gives 18.

BODMAS rule is rule for operation of numbers in a specific order when more than one type of operations is involved.

BODMAS is the abbreviated form for Brackets, Order including powers and exponents, Division, Multiplication, Addition and Subtraction.

Given expression is, 6² - 2(5 + 1 + 3).

First we should do the operation in brackets.

6² - 2(5 + 1 + 3) = 6² - 2 (9)

Now we should do the power operations.

6² - 2 (9) = 36 - 2 × 9

Now we do multiplication.

36 - 2 × 9 = 36 - 18

Now we do subtraction.

36 - 18 = 18

Hence the answer of the expression given is 18.

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Therefore , the solution to the given problem of interest comes out to be $272.

Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.

Here,

Given: $250 in principal

a 2.2% interest rate

and a 4-year term

To discover the basic interest:

Using this formula

Simple interest is equal to

=>P*R*T/100,

=> 250*2.2*4/100

=> 22.

Total amount after 4 years = 250 + 22 =272

Therefore , the solution to the given problem of simple interest comes out to be $272.

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R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

As a result, you are turning the entire trapezium figure 90 degrees clockwise in order to change the trapezoid LMNQ into L′M′NQ′.

In American and Canadian English, a trapezoid is a quadrilateral with at least one set of parallel sides. In British and other versions of English, the word is a trapezium. A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel sides of the trapezoid are referred to as its bases.

Given: When (-7,-2) to L, L becomes L' (-2,7)

You will often obtain a rotation of 90 degrees clockwise or 270 degrees counterclockwise around the origin (0,0), as well as a reflection across the x-axis and across the line of symmetry of the image, if you have (x,y) and it becomes (y,-x).

The entire graphic is therefore rotated 90 degrees in a clockwise orientation.

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The equation to represent the height of a glass slab is y=11x+2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given table, we have (2, 24) and (4, 46).

Substitute (x₁, y₁)=(2, 24) and (x₂, y₂)=(4, 46) in m=(y₂-y₁)/(x₂-x₁)

= (46-24)/(4-2)

= 22/2

= 11

Substitute m=11 and (x, y)=(2, 24) in y=mx+c, we get

24=11(2)+c

c=2

Substitute m=11 and c=2 in y=mx+c, we get

y=11x+2

Therefore, the equation to represent the height of a glass slab is y=11x+2.

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-560° in radian is -28π/9 radian and the positive and negative coterminals are 8π/9 and -10π/9 respectively.

170° in radian is  17π/18 radian and the positive and negative coterminals are 53π/18 and -19π/18 respectively

An angle can be converted from degree to radian by multiplying it by π/180.

1. -560°

-560° × π/180 = -28π/9 radian

2. 170°

170° × π/180 = 17π/18 radian

In general, if θ is any angle in radian, then θ + n(2π) is coterminal angle with θ, for all nonzero integer n.

coterminal of -28π/9:

positive: -28π/9 =  -28π/9 + 2(2π) = 8π/9

negative: -28π/9 =  -28π/9 + 2π = -10π/9

coterminal of 17π/18:

positive: 17π/18 =  17π/18 + 2π = 53π/18

negative: 17π/18 =  17π/18 - 2π = -19π/18

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By drawing a side on any one of the points, points X, Y, and Z can be used to create the circle.

It is described as a collection of points, each of which is spaced uniformly apart from a fixed point (called the centre of a circle)

First, draw three circles, each with the compass's drawing side on one of the points and the centre on another. The point of your compass should be on that point, and then you should place the drawing side on any one of the three points where they will all intersect in the middle.

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Answer: 1/104976

Step-by-step explanation:

You can get rid of negative exponents by flipping the number. So in this case,  the expression would change to: 1/(36)^2 x (9)^2.

From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.

1/104976 is your answer!

Answer:

4,2,0

Step-by-step explanation:

the rule is subtract 2 so 0 and 8 , 1 and 6 , 2 and 4 , 3 and 2 , and then finally 4 and 0

The solution to the product expression 4/3 * 5/3 is 20/9

From the question, we have the following parameters that can be used in our computation:

The product 4/3*5/3

To start with, we need to represent the statement as an expression

So, we have the following representation

4/3 * 5/3

Using a calculator, we multiply the numerator

So, we have the following representation

4/3 * 5/3 = 20/3 * 1/3

Using a calculator, we multiply the denominator

So, we have the following representation

4/3 * 5/3 = 20/9

Hence, the solution is 20/9

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The number of sheets of stickers that Kyle needs will be 7 sheets.

The equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, Kyle has a notebook for each of his 13 classes. He puts 5 stickers on

each notebook and there are 10 stickers on each sheet.

The number of sheets of stickers that Kyle needs will be:

= (13 × 5) / 10

= 65 / 10.

= 6.5

= 7 approximately

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The number of weeks w is given by the equation w = 6 weeks

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of weeks be represented as w

The prints cost $108 plus any add-ons she wants to purchase

The amount saved by Latisha per week = $ 18

So , the total amount saved by Latisha for w weeks = 18w

Now , the equation will be

18w = 108   be equation (1)

On simplifying the equation , we get

Divide both sides of the equation by 18 , we get

w = 108 / 18

w = 6 weeks

Therefore , the value of w is 6

Hence , the number of weeks is 6 weeks

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Answer:

Angle AGF = 140

Step-by-step explanation:

180-40 = 140

Answer:

c.

Step-by-step explanation:

First at all you need the half circle area formula:

(Pi*r2)/2 = 18Pi

After resolved this you have: r = 6, then diameter= 12

Then c) Its perimer is 40 because AB + CD + BC + AD = 40