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
tester [92]
3 years ago
9

A rectangular prism has a length of 2x^2+2x-24 over 4x^2+x, a width of x^2+x-6 over x+4, and a height of 8x^2+2x over x^2-9. For

all values of x for which it is defined , express, in terms of x, the volume of the prism in simplest form.
1. 4(x-2)
2. 2(x-2)
3.2(x+2)
4.4(x+2) please show work.
Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
V=abc\\\\
V=\frac{2x^2+2x-24}{4x^2+x}\cdot\frac{x^2+x-6}{x+4}\cdot\frac{8x^2+2x}{x^2-9}\\
V=\frac{2(x^2+x-12)}{x(4x+1)}\cdot\frac{x^2+3x-2x-6}{x+4}\cdot\frac{2x(4x+1)}{(x-3)(x+3)}\\
V=2(x^2+4x-3x-12)\cdot\frac{x(x+3)-2(x+3)}{x+4}\cdot\frac{2}{(x-3)(x+3)}\\
V=2(x(x+4)-3(x+4))\cdot\frac{(x-2)(x+3)}{x+4}\cdot\frac{2}{(x-3)(x+3)}\\
V=2(x-3)(x+4)\cdot\frac{x-2}{x+4}\cdot\frac{2}{x-3}\\
V=2\cdot(x-2)\cdot2\\
V=4(x-2)
You might be interested in
A student decided to make random guesses for all the above 5 true/false questions. What is the probability of this student getti
fiasKO [112]

Answer: 25%

Step-by-step explanation:

5 0
3 years ago
Jenny wants a total of 12 barbie dolls by the time she is 9 years old. Right now she has 4 barbie dolls. How many more does she
Gnoma [55]
She will need 8 more barbies, to reach a total of 12.

Hope this helps!

6 0
3 years ago
Read 2 more answers
How do you find percentages?
DochEvi [55]
To calculate percentage increase, use the following method:

First, Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Now, divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Also, If your answer is a negative number it is a percentage decrease.


To calculate percentage decrease, use this method:

First, Work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then, divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

Also, If your answer is a negative number then it is a percentage increase. 

<span>If you wish to calculate the percentage increase or decrease of several numbers then I recommend using the first formula.  Positive values indicate a percentage increase whereas negative values indicate percentage decrease.</span>

4 0
3 years ago
American Vending supplies vended food to a large university. Because students often kick the machines out of anger and frustrati
Alexxandr [17]

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

3 0
3 years ago
Please help me anyone
finlep [7]

Answer:

57 in²

Step-by-step explanation:

S=1/2*8*3=12

4s+9=4*12+9=57

3 0
3 years ago
Other questions:
  • The sum of w and 84 is 125. What is the value of w?
    8·2 answers
  • How do I find the length of a side of the cube?​
    9·1 answer
  • Find the mode of the following data 1,2,1,1,3,2,2,2​
    9·1 answer
  • How are corresponding angles of two similar figures related
    15·1 answer
  • If (44)X = 432, what is the value of x?
    7·1 answer
  • Find the slope of the line that passes through (2, 7) and (8, 8).
    11·2 answers
  • Help me and i will give u a brainlliest
    5·2 answers
  • HELP ASAP! Solve 2a+3b=5 b=a-5
    5·1 answer
  • At 3:30 p. M. , Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same ti
    15·1 answer
  • Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!