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2 years ago

Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).

Mathematics

1 answer:

Reptile [31]2 years ago

5 0

Answer:

-14

Step-by-step explanation:

$f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^{2} + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14$

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How do I express the following as a fractional part of a year?

timama [110]

Answer:

See below.

Step-by-step explanation:

A year has 12 months and 365 days.

3 months: 3/12 year = 1/4 year

55 days: 55/365 year = 11/73 year

1 month: 1/12 year

7 months = 7/12 year

120 days = 120/365 year = 24/73 year

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3 years ago

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Umnica [9.8K]

Answer:

1 and 3

Step-by-step explanation:

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3 years ago

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At a sale, coats were sold for $17 each. If the coats originally cost $20 each, what percentage of its original price was a coat

PtichkaEL [24]

15% off
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Use that to work them out and voila

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3 years ago

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

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μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

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3 years ago

Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 5/8 inches a

rodikova [14]

Answer:

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

Step-by-step explanation:

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 = 45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

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3 years ago

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