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Gelneren [198K]
3 years ago
5

Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)

Mathematics
1 answer:
ozzi3 years ago
8 0
Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3

The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4
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Samantha works at a bakery. The function f(x) = 3x2 − 5 represents the amount of money Samantha earns per cookie, where x is the
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f(g(x)) = 15x³ - 5

Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

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g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

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let's simplify this a little bit more.

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