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
kolbaska11 [484]
3 years ago
12

The volume of a rectangular prism is b^3 + 8b^2 + 19b + 12 cubic units, and its height is b + 3 units.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
The answer is (b² + 5b + 4).

The volume of a rectangular prism (V) is:
V = l · w · h              (l - length, w - width, h - height)

The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w

Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)

Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
                                =    b²(b + 3)    +   5b(b + 3)   +  4(b + 3) =
                                = (b + 3)(b² + 5b + 4)

A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)

(b + 3) can be cancelled out:
A = (b² + 5b + 4)
You might be interested in
F(x) = 9-5x<br> For the function<br> 3+x<br> f-1(x).<br> find
Iteru [2.4K]

Answer:

f x − x + 3

Step-by-step explanation:

Substitute the given value into the function and evaluate.

PLEASE MARK BRAINLIEST!!

3 0
3 years ago
Suppose f(x)=x.Find the graph of f(x-4)
zubka84 [21]

Answer:

Step-by-step explanation:

As I was not provided with your choices, I simply plugged your equation in to an application called Desmos, which is great for graphing points! I hope my graph could answer your question.

6 0
4 years ago
Tangela bought 12 cans of soda for 5.40 what was the unit rate for each can of soda
ANEK [815]

Answer:

Step-by-step explanation:

So 5.40 divided by 12

3 0
3 years ago
Read 2 more answers
If 7 pounds of candy cost $16.17. How much does 1 pound of candy cost?
Eddi Din [679]

Answer:

2.31

Step-by-step explanation:

boo divide 16.17 by 7 to find 1 pound, i dont get y every time i refresh ur questions pop up looooool XD

3 0
3 years ago
Read 2 more answers
5.
egoroff_w [7]

Answer:

I thinks it A or D

Step-by-step explanation:

Yea A Or D is our answer

4 0
4 years ago
Other questions:
  • The length of a rectangular garden is 10 feet longer than its width. if the garden's perimeter is 184 feet, what is the area of
    5·1 answer
  • A wildlife biologist caught, banded, and released 200 quail at a local quail ranch. One month later, he captured 100 quail in th
    12·1 answer
  • Help me!!! I will mark brainliest!!!
    10·1 answer
  • A bowl contains 4 yellow marbles and 3 red marbles. Michael randomly draws 4 marbles from the bowl. He replaces each marble afte
    9·1 answer
  • The graph of the revenue function f(x) = –2x2 + 100x is shown to the left. In the function, revenue is dependent on the number o
    11·2 answers
  • Will mark brainlest please help!!!!<br> all the choices are the same
    5·1 answer
  • You earned a 90% on a science test. You answered 18 questions
    11·1 answer
  • a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour
    7·2 answers
  • Convert 4307 rads / 1 second into inches/sec
    11·1 answer
  • I WILL GIVE BRAINLIEST ANSWER!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!