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krek1111 [17]
3 years ago
10

Let f(x) = 5x – 4 and g(x) = x² – 1. Find each value.

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

35.)   80

36.)   11

37.)   15

38.)   21

39.)   -9

40.)   -1

Step-by-step explanation:

In simplified terms the question is asking

35.)   g(f(-1)) =

         g(-9) = 80

36.)   f(g(2)) =

         f(3) = 11

37.)   g(f(0)) =

        g(-4) = 15

38.)   f(g(root6)) =

         f(5) = 21

39.)   f(g(0)) =

         f(-1) = -9

40.)   g(f(4/5)) =

         g(0) = -1

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Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to calculate the distance between (-3, 2) and (5, -4):

d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}

d = \sqrt{(8)^2 + (-6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100} = 10

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})

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M(1, -1)

✅The coordinate ofthe deli is (1, -1)

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