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siniylev [52]
2 years ago
7

What expression is equivalent to 9(3x + 8)? *

Mathematics
2 answers:
Nat2105 [25]2 years ago
8 0

Step-by-step explanation:

This is what it is equal to:

9×3x=27x

9×8=72

Therefore it will be:

27x + 72

hope it helps!

vodka [1.7K]2 years ago
6 0

Answer:

27x+72

Step-by-step explanation:

You have to use the distributive property to simplify the expression. Therefore, you have to  multiply both terms inside the parentheses.

1. 9*3x=27x

2. 9*8=72

They could not be added together, as they are not like-terms. So, you just write it down as 27x+72.

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Step-by-step explanation:

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The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?
navik [9.2K]

Answer:

Area of the base = 2x^2+5x-18

Step-by-step explanation:

We know that volume of rectangular prism = (Area of base) x (Height)

or [Area of base] = [Volume]/[Height]

So basically we need to divide given area by given height to find the answer.

given height is (x+2) that means (x+2) must be factor of volume equation

or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.

Last digit on the right is always remainder.

Remaining coefficients {2, 5, -18} will give the area equation: 2x^2+5x-18

Hence final answer is:

Area of the base = 2x^2+5x-18


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3 years ago
In order to qualify for a bowling tournament, bowlers bowl 20 games. The results are normal. The average score was 167 with a st
Ksenya-84 [330]

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3 years ago
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Aleksandr [31]
<h2>The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}</h2>

Step-by-step explanation:

We have,

\dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

To find, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} = ?

∴ \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}

=\dfrac{24}{35} +\dfrac{16}{35}

Taking LCM of denominator, we get

=\dfrac{24+16}{35}

=\dfrac{40}{35}

Dividing numerator and denominator by 5, we get

=\dfrac{8}{7}

∴ The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}

Hence, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} is equal to \dfrac{8}{7} .

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3 years ago
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