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2 years ago

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yuradex [85]2 years ago

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Based on the key features, the end behavior and the zeros of function h [h(x) = -x³ - 9x² +4x +96], the statement that is true of the above graph is: "The graph is positive on the intervals (-8, -4) and (3, infinity) (Option B)"

<h3>What is end behavior?</h3>

A function's "end behavior" refers to how the function's graph behaves at its "ends" on the x-axis.

In other words, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞ ), the end behavior of a function represents the trend of the graph.

Learn more about end behavior at:
brainly.com/question/1365136
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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Answer:

B. $y = 5x + 3$

Step-by-step explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

$10(x + \frac{3}{5} ) = 2y$

Open the bracket

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify fraction

$10x + 6 = 2y$

Divide through by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

The next step is to compare each of option A through D with $y = 5x + 3$

A.

$y = 5x + \frac{3}{10}$ is not equal to $y = 5x + 3$

We check the next available option

B.

$y = 5x + 3$ is equal to $y = 5x + 3$

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

$y = \frac{1}{5} x + \frac{3}{25}$

Convert fraction to decimal

$y = 0.2x + 0.12$

This is not equal to $y = 5x + 3$

D.

$y = \frac{1}{2} x + 6$

Convert fraction to decimal

$y = 0.5x + 6$

This is not equal to $y = 5x + 3$

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

7 0

3 years ago

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Eva8 [605]

64 dollars is the sale price:))))

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3 years ago

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Simplify: (9x^5)(4x^4)<br><br> please show your work so i can see how to do this thank you <3

Alchen [17]

9x^5 • 4x^4
9•4= 36
X^5+4= x^9
Your answer is 36x^9

3 0

3 years ago

Find the volume of the sphere with 1 inch radius. Round your answer to the nearest tenth. Use 3.14 for Pi.

Ad libitum [116K]

Answer:

4.16 in^3

Step-by-step explanation:

Given data

Volume of sphere= 4/3πr^3

Radius= 1 inch radius

Substitute

Volume of sphere= 4/3*3.14*1^3

Volume of sphere= 4/3*3.14*1

Volume of sphere= 4*1.04

Volume of sphere= 4.16 in^3

7 0

3 years ago

Please help me babes!!

abruzzese [7]

The correct answer would be C) CBA-EFD

6 0

3 years ago

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