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3 years ago

Correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

1 answer:

klasskru [66]3 years ago

5 0

F(x)=25-x^2
g(x)=x+5

f/g(x)=(25-x^2)/(x+5)

f(x) is in binomial form so 25-x^2 can also be written as (5-x)(5+x)

so

f/g(x)=(5-x)(5+x)/(x+5)
f/g(x)=5-x

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Answer:

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The initial fee that was charged is the y-intercept of the equation that represents the situation given.

Using the slope-intercept equation, y = mx + b, find m and then find b, which is the initial fee.

Where, x = distance, y = price, m = slope, and b = y-intercept, which is the initial fee that was charged that we are looking for.

First, using two pairs, (105, 183) and (140, 204), find the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{204 - 183}{140 - 105} = \frac{21}{35} = \frac{3}{5}$

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To find the y-intercept, b, substitute x = 105, y = 183, and m = ⅗ into $y = mx + b$ .

$183 = \frac{3}{5}(105) + b$

$183 = 63 + b$

Subtract 63 from each side

$183 - 63 = b$

$120 = b$

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