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Keith_Richards [23]
3 years ago
7

Given f(x) = x^2 - 5x, find f(x-3)

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Answer:

f(x-3)= x^2 -11x +24

Step-by-step explanation:

We want to find an equivalent expression for f(x-3)

To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'

Therefore f(x-3)= (x-3)^2 -5*(x-3)

Lets re arrange the expression by grouping terms.

f(x-3)=x^2 - 6x +9 -5x + 15

f(x-3)= x^2 -11x +24

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Tpy6a [65]

Problem 10

<h3>Answer: approximately 57.39159 km</h3>

Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.

=====================================

Problem 11

<h3>Answer: approximately 10.46162 meters </h3>

Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162

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Problem 12

<h3>Answer: approximately 16.05724 cm</h3>

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tan(37) = 12.1/x

x*tan(37) = 12.1

x = 12.1/tan(37)

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