True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.
How to determine degree of a polynomial ?To determine the degree of a polynomial just observe the highest power of the given variable.
According to the given question
A polynomial is given
f(x) = 3x⁴ - 5x³ - 5x² + 5x +2
Here we can observe that it is a polynomial in of degree 4.
We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.
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Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
3y-4=12-y and also show the step please
Answer:
y=4
Step-by-step explanation:
look at the picture. :) hope this helps
Answer:
y = 4
Step-by-step explanation:
Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.
4y - 4 = 12
We now can take the -4 from the left and bring it to the right as +4.
4y = 16
We can now divide 16 by 4, getting 4 as the final answer.
Can someone please answer this question. Identify the vocabulary word that matches the picture.
Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Lines y and z are parallel. Triangle A B C sits between the 2 lines with point A on line y and points C and B on line z. Angle C A B is 2. Its exterior angle to the left is 1 and its exterior angle to the right is 3. Angle A B C is 6 and its exterior angle to the right is 7. Angle B C A is 5 and its exterior angle to the left is 4. Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. Straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent
Answer:
The correct option is;
Alternate interior angles
Step-by-step explanation:
The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;
Statement [tex]{}[/tex] Reason
1. ABC is a triangle [tex]{}[/tex] Given
2. y ║ z [tex]{}[/tex] Given
3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 Alternate interior angles
4. m∠1 = m∠5; m∠3 = m∠6 [tex]{}[/tex] Definition of (congruency) ≅
5. m∠1 + m∠2 + ∠3 = m∠LAM [tex]{}[/tex] ∠Addition postulate
6. m∠1 + m∠2 + ∠3 = 180° [tex]{}[/tex] Definition of straight angles
7. m∠5 + m∠2 + ∠6 = 180° [tex]{}[/tex] Substitution property
Step 3;
Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended
Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2
Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;
Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.
Answer:
The answer is A. alternate interior angles are congruent
Step-by-step explanation:
I tried all my options and that one was correct.
Evaluate the following and express the answer in scientific notation.
2.44 × 10^ −10 ÷ 4 × 10^ −6
Answer: 6.1e-17
Step-by-step explanation:
the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
To evaluate and express the answer in scientific notation, we can simplify the expression and adjust the decimal point and exponent accordingly.
2.44 × 10⁻¹⁰ ÷ 4 × 10⁻⁶
First, divide 2.44 by 4, which gives us 0.61.
Next, subtract the exponents by applying the division rule for exponents:
10⁻¹⁰ ÷ 10⁻⁶ = 10⁽⁻¹⁰⁻⁽⁻⁶⁾⁾ = 10⁽⁻¹⁰⁺⁶⁾ = 10⁻⁴
Therefore, the simplified expression is 0.61 × 10⁻⁴.
To express the answer in scientific notation, we can move the decimal point one place to the right, resulting in 6.1 × 10⁻⁵.
Hence, the evaluated expression in scientific notation is 6.1 × 10⁻⁵.
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CAN SOMEONE HELP ME PLEASE NEED THIS DONE BEFORE 10:00
Answer:
27/2 or 13.5
Step-by-step explanation:
use PEMDAS
Divide the 18 by 2 then multiply by 3
Subtract 3 from 5 then divide the top 27 by the bottom 2
Answer:
the answer is 9
Step-by-step explanation:
18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9
YOOOO HELP ME ASAP BRO THIS IS DUED BY TONIGHT COME ON PLEASE
EITHER ONE IS FINE
Answer:
fish food
Step-by-step explanation:
bc my moomy pappa gave me food and im so smart now and they broken now up
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
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Find the x - and y - intercepts of the graph of the linear equation-4x+8y=-16
Answer:
y-intercept: (0, -2)
x-intercept: (4, 0)
Step-by-step explanation:
The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:
-4x+8y=-16
-4x+8(0)=-16
-4x+0=-16
-4x=-16
x=4 ---------- format correctly in (x, y) : (4, 0)
The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:
-4x+8y=-16
-4(0)+8y=-16
0+8y=-16
8y=-16
y=-2 ---------- format correctly in (x, y) : (0, -2)
cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer
A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?
Answer:
see below
Step-by-step explanation:
h(t)=-16t^2+48t+64
Find when h(t) = 64
64 = -16t^2+48t+64
Subtract 64 from each side
0 = -16t^2+48t
Factor
0 = -16t( t-3)
Using the zero product property
-16t =0 t-3 =0
t=0 and t=3
Other than at t=0, so at t=3 seconds
How long will it take for f ball to reach its maximum height?
Find the vertex
t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds
It will reach the maximum height at 1.5 seconds
What is the maximum height reached by the ball?
The height will be
h(1.5) = -16*(1.5)^2+48(1.5)+64
= -36+72+64
= 100
The maximum height is 100 ft
How long will it take for the ball to hit the ground?
h(t) =0
0=-16t^2+48t+64
Factor
0 = -16( t^2 - 3t -4)
0=- 16( t-4) (t+1)
Using the zero product property
t-4=0 t+1=0
t =4 t = -1
Since time cannot be negative
t=4 seconds
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)
Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.
Step-by-step explanation: 38+7k=8k+32= 6x-3=9x+27
38=1k+32= -3=3x+27
6=1k k=6 -30=3x x=-10
The price of a television increased from $325 to $390. By what percentage was the price of the television increased?
Answer: 13.76 percent
Step-by-step explanation:
A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.
Answer: 59.5 ≤ r ≤ 60.5
Step-by-step explanation:
Given that :
Accuracy range = ±0.5 of true value
True height of rain (r) = 60mm
Absolute value equation to find the least and greatest height if rain possible ;
|r| = 0.5
To remove the absolute value sign ;
|r| ± 0.5
r = 60mm
60 - 0.5 ≤ r ≤ 60 + 0.5
59.5mm ≤ r ≤ 60.5mm
Hence,
Greatest height possible = 60.5mm
Least height possible = 59.5 mm
just help and explain so i can understand!!
Answer:
‒6
Step-by-step explanation:
‒2‒4=‒6
or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve
anyway you can understand as you want as you like
i think it is clear
i hope you understand me what i am saying
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
plz answer 12 points
Answer:
6+3^3
Step-by-step explanation:
6 plus 3 cubed
which is 6+3^3
Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
Hay dos números naturales consecutivos y la suma del cuadrado de esos números es 221¿cuáles serán esos números?
Jacques, an artisan cheese maker, collects data on every step of the cheese-making process for each batch he makes. Jacques noticed that the daily high temperature in his shop on the day he made a batch of cheese was related to the pH of the cheese the next morning. He computed the correlation between the daily high temperature and the pH of the cheese to be −0.64 . What information does the correlation provide about the relationship between the daily high temperature and the pH of the cheese?
Answer:
The information is
The daily temperature of the shop increases while the pH of the cheese decreases
Step-by-step explanation:
From the question we are told that
The correlation between the daily high temperature and the pH of the cheese to be −0.64
Generally the information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases
NEED ANSWERS ASAP (algebra)
1.Find the equation of line W that has a y intercept of 8 and x intercept of 5
2.What is the slope of the line with the following equation
y= -3x + 7
3.what is the x intercept of the line with the following equation
6x-3y=24
4.Solve the following inequality
[tex] - 53 \geqslant - 3(3x + 3) + 3x [/tex]
5.solve the equation
[tex] \frac{3x}{4} - \frac{x}{12 } = \frac{7}{8} [/tex]
6.Find the Value of x:
[tex]x + ( x + 1) + (2x + 2) + (3x + 3) = 90[/tex]
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!
Does the graph show a proportional
relationship? If so, use the graph to find
the constant of proportionality.
Answer:
yes. y-=25x
Step-by-step explanation:
Answer:
its 40
Step-by-step explanation:
Choose the correct written expression for: (9 x 4) divided by 6.
Options:
he quotient of 9 and 4 times 6
divided by the product of 9 and 4
the product of 9 and 4 divided by 6
9 times 4 divided by 6
Answer:
the product of 9 and 4 divided by 6
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the y-intercept?
Answer:
The y-intercept is 3.90
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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When a figure is increased to make a larger image, are the two figures congruent?
Answer:
No because Congruent means the same, but since it's a different size than the original then they aren't the same.
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
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I need help with this question.
-3(k+5)>-7-3k
Answer:
no solution
Step-by-step explanation:
-3(k+5)>-7-3k
Distribute
-3k -15 > -7-3k
Add 3k to each side
-3k+3k -15 > -7-3k+3k
-15 > -7
This is not true so there is no solution
Which table of ordered pairs represents a function?
Answer:
A
Step-by-step explanation: