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Annette [7]
2 years ago
8

The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.

Mathematics
1 answer:
hodyreva [135]2 years ago
5 0

Answer:

(9x+7)(9x-7)

value of a =9x

              b = 7

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If the sale price is $40 and the discount is 25%, what is the original price?
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Use this equation to solve the problem:

x - (x * .25) = 40

This equation is saying the original price times itself by 25% is 40.

x - (x * .25) = 40
Simplify.
x - .25x = 40
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Answer:

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Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

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Now we find the squares of the differences:

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= 80

Divide by n:

σ² = 80 / 8

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And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

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