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1 year ago

The functions fand g are defined as follow

Mathematics

1 answer:

Y_Kistochka [10]1 year ago

4 0

Step-by-step explanation:

f(x)=3x²-3x

f(-3)=3(-3)²-3(-3)

=3(9)+9

=27+9

=36

g(x)=5x-1

g(-7)=5(-7)-1

=-35-1

=-36

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The length of a rectangle is 8 feet longer than the width. If the perimeter is 80 feet, find the length and width of the rectang

Klio2033 [76]

perimeter = 2L + 2W

L=8+w

perimeter = 2(8+w) +2w

80 =16+2w+2w

80 = 16 +4w

64 =4w

w=64/4 = 16

l=16+8 =24

length = 24 feet

width = 16 feet

check 2(24) +2(16) = 48 + 32 = 80

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3 years ago

David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will

svetlana [45]

Answer:

Part a) $160\ gallons$

Part b) $480\ gallons$

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

$\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons$

Part b) How many gallons of water will be in the pool after 1 hour

we know that

1 hour = 60 minutes

Using proportion

$\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons$

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3 years ago

A sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's p

charle [14.2K]

Answer:

So the value of the test statistic is -0.85.

Step-by-step explanation:

We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.

We get that:

$n=1800\\\\p_1=53\%=0.53\\\\p_2=54\%=0.54\\$

We calculate the standar deviation:

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We calculate the value of the test statistic:

$z=\frac{p_1-p_2}{\sigma}=\frac{0.53-0.54}{0.01176}=-0.85$

So the value of the test statistic is -0.85.

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3 years ago

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nikdorinn [45]

This is the diference of 2 perfect squares. 4 is a perfect square, x^2 is a perfect square, and 25 is a perfect square. The pattern for this is (ax + b)(ax - b). Our a is 2 since 2*2 = 4, and our b is 5 since 5*5 = 25. So your factors are (2a+5)(2a-5), choice C.

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erastovalidia [21]

Answer:

Step-by-step explanation:

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