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leva [86]
2 years ago
6

The volume of a rectangular prism is given by the expression 2x^4+2x^3-4x^2-4x. Write the volume as the product its dimensions.

Remember, V = lwh.
Mathematics
1 answer:
telo118 [61]2 years ago
7 0
<h3>Answer:  2x(x^2-2)(x+1)</h3>

=========================================================

Explanation:

First factor out the GCF 2x

2x^4+2x^3-4x^2-4x

2x*x^3+2x*x^2-2x*2x-2x*2

2x(x^3 + x^2 - 2x - 2)

Then let's factor the expression inside the parenthesis using the factor by grouping method

x^3 + x^2 - 2x - 2

(x^3 + x^2) + (- 2x - 2)

x^2(x + 1) - 2(x + 1)

(x^2 - 2)(x+1)

We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)

Overall, the original expression fully factors to 2x(x^2-2)(x+1)

length = 2x

width = x^2-2

height = x+1

The order of length, width, and height doesn't matter.

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Which expreion are equivalent to
Makovka662 [10]

The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

We need to find the expressions that are equivalent to given expression

We solve the expression and check,

A) -30(3 + 2w)

-90 - 60w

Yes it is equivalent.

B) (-9 - 6w)10

-90 - 60w

Yes it is equivalent.

C) -3(30 - 20w)

-90 + 60w

No it is not equivalent.

D)(6 + 4w)15

90 + 60w

No it is not equivalent.

E) -20(4.5 + 3w)

-90 - 60w

Yes it is equivalent.

Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w),  (-9 - 6w)10 and  -20(4.5 + 3w)

To learn more about multiplication refer here

brainly.com/question/10873737

#SPJ4

8 0
1 year ago
10. Which expression is represented by the model below?<br> +<br> o
galben [10]

I remember doing this one and its c

5 0
3 years ago
What is the y-intercept of this quadratic function f(x) = x2 + 2x + 3
tresset_1 [31]

Hi there!

\large\boxed{0, 3}

Find the y-intercept by substituting in 0 for x:

f(0) = 0² + 2(0) + 3

Simplify:

f(0) = 3

5 0
3 years ago
Read 2 more answers
A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in
8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that 0,07x+0,05x=6000 because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

0,12x=6000\\x=50000

Then to get the incomes:

At 7%: I=0.07*50000\\I=$3500

And at 5%: I=0.05*50000\\I=$2500

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000

6 0
3 years ago
How many 12 x 12 pavers for 600 square feet?
34kurt
First, we calculate the area of one paver. This is:
12 x 12 = 144 square feet
Now, the number of pavers required may be determined by dividing the total surface area to be covered by the surface area of one paver, as:
number of pavers = 600 / 144
Number of pavers = 4.2

Because 0.2 pavers can not be obtained, 5 pavers are needed to completely cover 600 square feet.
5 0
4 years ago
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