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bija089 [108]
3 years ago
7

? Question

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

Please find attached , the filled in boxes

The y-intercept is (0, 4)

Step-by-step explanation:

The given function is g(x) = 4 \times (0.6)^x

The values of x are given as -10, -1, 0, 1, 2, 8

The values of g(x) are

g(-10) = 4 × 0.6⁽⁻¹⁰⁾ = 4 × (3/5)⁽⁻¹⁰⁾ = 4 × (5/3)⁽¹⁰⁾ = 661.53

g(-1) = 4 × 0.6⁽⁻¹⁾ = 4 × (3/5)⁽⁻¹⁾ = 4 × (5/3)⁽⁽¹⁾ = 20/3 =

g(0) = 4 × 0.6⁽⁰⁾ = 4 × (3/5)⁽⁰⁾ = 4 × 1 = 4

g(1) = 4 × 0.6⁽¹⁾ = 4 × (3/5)⁽¹⁾ = 12/5 = 2.4

g(2) = 4 × 0.6⁽²⁾ = 4 × (3/5)⁽²⁾ = 36/25 = 1.44

g(8) = 4 × 0.6⁽⁸⁾ = 4 × (3/5)⁽⁸⁾ = 0.0672

The y intercept is given at the point x = 0 which is g(0) = 4

The y-intercept is g(0) = 4

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Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

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Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer:  m = -40s+2700</h3>

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

Part B

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m = 2460

---------

<h3>Final Answer: 2460 meters</h3>
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