1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
snow_lady [41]
3 years ago
15

The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x − 16. The length of the box is x + 2, while the h

eight is x + 8. Find the expression representing the width of the box.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

width = (x-1)

Step-by-step explanation:

The volume of the prisms is defined in the problem as

Volume = x^3 + 9x^2 + 6x − 16

Volume  = width*height* length

And we know that,

length = (x+2)

height = (x+8)

We can find the roots of the equation, which happen to be

x = -8

x = -2

x = 1

(See image below)

This means that the volume can be represented as

Volume = x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)

Therefore,

The width = (x-1)

You might be interested in
Please help thx 10 poin
Annette [7]

Answer:

X = 55

Step-by-step explanation:

If the angel is 90:

75 + 90 = 165

165 divided by 3 = 55

7 0
3 years ago
Read the ques
Dafna11 [192]

Answer:

0.25feet

Step-by-step explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given

3 0
3 years ago
Is 7, 20, 25 a right triangle?
love history [14]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.

a)    25² = 20² + 7²

      625 = 400 + 49

     625 ≠ 449              It is not a right triangle

b)   26² = 24² + 10²

      676 = 576 + 100

      676 = 676               it is a right triangle

c)   13² = 8² + (√10)²

     169 = 64 + 10

      169 ≠ 74                 it is not a right triangle

d)   52² = 48² + 20²

      2704 = 2304 + 400

      2704 = 2704               it is a right triangle

3 0
3 years ago
8=8p+13−3p please help ​
Elenna [48]

Answer:

-1=p

Step-by-step explanation:

8=8p+13-3p

8-13=8p-3p

-5=5p

-5÷5=5p÷5

-1=p

8 0
3 years ago
What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20
Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

\frac{2}{3} = \frac{6}{x}

2*3 = 6, we multiply top  and bottom of fraction by 3

\frac{2*3}{3*3} = \frac{6}{9}

So value of x=9

4 : 7 = x : 42 ,

\frac{4}{7} = \frac{x}{42}

7*6 = 42, we multiply top  and bottom of fraction by 6

\frac{4*6}{7*6} = \frac{24}{42}

So value of x=24

2x : 48 = 3 : 12,

\frac{2x}{48} = \frac{3}{12}

\frac{3}{12}[/tex] = \frac{2x}{48}12*4 = 48, we multiply top  and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}

2x= 12, so x= 6

12 : 15 = x : 20

\frac{12}{15} = \frac{x}{20}

15 * \frac{4}{3} = 20,

we multiply top  and bottom   by 4/3

 12 * \frac{4}{3} = 16

So value of x=16

4 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify 2х + х.<br> О 2х2<br> О 3х<br> O3x 2
    14·2 answers
  • Write 2/3 and 3/4ad a pair of fractions with a common denominator.
    11·1 answer
  • 64x + 16 what does the x stand for
    5·2 answers
  • Gavin bought 15 pounds of fruit at Costco. 40% of the fruit was grown in California. How many pounds of fruit were grown in Cali
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=15%20x%5E%7B2%7D%20%2B14x-49%3D0" id="TexFormula1" title="15 x^{2} +14x-49=0" alt="15 x^{2} +1
    9·2 answers
  • I don't understand? (Questions 1 &amp; 3)
    6·1 answer
  • Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the property was P, whic
    15·1 answer
  • What percent of 25 is 20?<br> A) 40%<br> B) 50%<br> C) 60%<br> D) 80%
    10·2 answers
  • Lindsey went shopping with her grandmother. Lindsey's grandmother gave her $8.00 to add to the original amount she had in her wa
    11·2 answers
  • Stephanie spent 20​% of x hours at her​ part-time job. What is x if 20​% of x is about 10 hours?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!