Ask question

Ask question

All categories

3 years ago

13

the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is

x + 8. find the expression repressing the width of the box

1 answer:

Zinaida [17]3 years ago

7 0

X^2+6x-16= volume
LWH=volume
(x+2)W(x+8)=x^2+6x-16
W=(x^2+6x-16)/[(x+8)(x+2)]=[(x+8)(x-2)]/{(x+8)(x+2)}=
W=(x-2)/(x+2)

You might be interested in

How do you answer number 5

riadik2000 [5.3K]

x² - x - 6 = (x +3)(x - 2)

x² - 5x + 6 = (x - 2)(x - 3)

What is their common factor?

Answer: B. x - 2

5 0

3 years ago

If a book cost $5 and the sales tax rate is 6.5%, how much would the book cost?

marin [14]

Answer:

$5.33

Step-by-step explanation:

6 0

3 years ago

Given ü=<4,-1 > and =< 3,2 >

Galina-37 [17]

Answer:

idk

Step-by-step explanation:

6 0

3 years ago

A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o

UNO [17]

The equation is given as

$y = 12 sin (6t - \pi /2) + 2$

<h3>The Amplitude </h3>

The Amplitude can be calculated as

$amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12$

<h3>The Vertical Shift</h3>

The vertical shift is the average difference between the maximum and minimum.

$Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2$

For b value

The Time Period will be twice the distance between max and min.

$time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}$

<h3>The Period</h3>

The period is calculated as

$T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12$

The equation is given as

$y = 12 sin (6t - \pi /2) + 2$

Learn more on time period and amplitude here;

brainly.com/question/15531840

8 0

2 years ago

Find the volume of a cube with x+2

ikadub [295]

Answer:

x^3 + 6x^2 + 12x + 8

Step-by-step explanation:

(x+2)(x+2)(x+2)

(x^2 + 4x + 4)(x+2)

x^3 + 2x^2 + 4x^2 + 8x + 4x + 8

x^3 + 6x^2 + 12x + 8

8 0

3 years ago