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3 years ago

What is the completely factored form of 2x2 – 32? (2x2 16)(x – 16) 2(x 4)(x – 4) 2(x 8)(x – 4) 2(x – 8)(x – 4).

SAT

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

2(x+4)(x-4)

Explanation:

First factor out a 2 to make the equation 2(x^2-16).

Then factor the (x^2-16) into (x+4)(x-4).

This happens because 4 and -4 multiply to -16. When you distribute the 2 back into the factored part, you get -32, which is in the original equation.

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3 years ago

During last year's basketball season, Jackson attempted

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This question is incomplete and not well written.

Complete question:

During last year's basketball season, Jackson attempted

150 free throws of which he made

120. So far this season, he's attempted 24 and made 16. A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted. Assuming calculations began with the start of last year's season, which of the following best approximates Jackson's overall free-throw percentage to date?

A. 67%

B. 73%

C. 78%

D. 80%

Answer:

B. 73%

Explanation:

In the question, we are told that:

A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted

Mathematically

Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted)× 100

For Last year, Jackson attempted

150 free throws of which he made

120

Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted) × 100

Percent(%) Free throw = (120÷150) × 100

= 80%

This season, he's attempted 24 and made 16

Percent (% ) Free throw = (Number if free throws made ÷ Number of free throws attempted) × 100

Percent(%) Free throw = (16÷24) × 100

= 66.67%

Approximately = 67%

The best approximation for Jackson's overall free-throw percentage to date is

(Percent Free Throw for last season + Percent Free Throw for this season) ÷ 2

Percent Free Throw for last season

= 80%

Percent Free Throw for this season = 66.67%

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= 73.335%

Approximately = 73%

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