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
spin [16.1K]
3 years ago
6

A pencil holder is in the shape of a rectangular prism. The volume of a pencil holder is represented by 8x^3 +4x^2-84x. Find the

possible dimensions of the pencil holder if the dimensions are represented by polynomials with integer coefficients.
Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer:

4x, 2x+7 and x-3.

Step-by-step explanation:

The volume of the rectangular prism shaped pencil holder is given as:

8x^3 +4x^2-84x

To determine the dimensions of the pencil holder, we factorize the given expression.

8x^3 +4x^2-84x\\=4x(2x^2+x-21)\\=4x(2x^2+7x-6x-21)\\=4x(2x^2-6x+7x-21)\\=4x(2x(x-3)+7(x-3))\\=4x(2x+7)(x-3)

Therefore, the possible dimensions of the pencil holder are:

4x, 2x+7 and x-3.

You might be interested in
A and b are integers.
GREYUIT [131]

Answer:

a is -9

b is 4

Step-by-step explanation:

we know that a and b are whole numbers.

we know that they are factors of 36.

1 * 36

2 * 18

3 * 12

4 * 9

6 * 6

i just did this as guess and check.

what numbers have a difference of 5?

the factors 4 and 9.

so, if a is the negative one, a has to be -9 to get -5 because

-9 + 4 = -5

and

(-9)(4) = 36

8 0
3 years ago
Help me please answer thanks
dalvyx [7]
So the line is gonna cross on 4 on the y-intercept because in the equation that’s the y-intercept and 2 is the slope. the slope is moving up the graph by 2 because 2 is the slope. I hope this makes sense i don’t know how to simplify it more than this sorry
5 0
3 years ago
Round 0.685 to the nearest hundredths
mina [271]
0.69 would be the answer. The 5 is holding the thousandths place in this problem, 8 is in your hundreths place and 6 is in your tenths place.

7 0
3 years ago
BRAINLIEST FOR WHOEVER ANSWER CORRECTLY!!!
WARRIOR [948]

Answer:

39/50 and 0.78

Step-by-step explanation:

78% = 78/100 (or 78 hundredths) = 0.78

39 ÷ 50 = 0.78

6 0
3 years ago
Read 2 more answers
Sue used the equation y=10x to calculate how much money, y, she would make for babysitting x hours. How many hours did Sue babys
kkurt [141]
Y = 10x

Plug in $260 for y.

260 = 10x
Divide by 10.

x = 26

Sue babysat for 26 hours.
5 0
4 years ago
Other questions:
  • How many different triangles can you make if you are given these three measurements for angles?
    7·1 answer
  • A jar of black jelly beans has a ratio of 2:1, and 150 of the beans are black beans. How many beans in total are there in the ja
    8·1 answer
  • In ΔPQR, the measure of ∠R=90°, RQ = 16, PR = 63, and QP = 65. What ratio represents the cosine of ∠Q?
    8·1 answer
  • 886 randomly sampled teens were asked which of several personal items of information they thought it okay to share with someone
    8·1 answer
  • An arc of ABC of a circle of radius 15cm substends an angle of 160 degrees at the centre of the circle. Find the length of arc A
    11·1 answer
  • Twenty percent is equal to what decimal?
    12·2 answers
  • Five friends are sharing 4 fruit bars. Each friend gets the same amount.
    12·1 answer
  • 2/3h-1/3h+11=8 PLEASE HELPPOO
    12·1 answer
  • Please answer this (who ever answers correctly gets brainlest)
    15·2 answers
  • Solve this equation 7x + 1 /16 = 1 /2 Algebra
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!