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Viefleur [7K]
3 years ago
12

A wise man once said, 500 reduced by 4 times my age is 116." what is his age?

Geography
2 answers:
enyata [817]3 years ago
8 0
Your age is the answer
jeka943 years ago
6 0
The answer would be 96 i believe.
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Jean-Jacques Rousseau’s main argument was that a government should __________.
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Compare 4:10 and 12:20 using fractions. Which ratio is smaller? How do you know?
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On a coordinate plane, 2 exponential functions are shown. f (x) = 5 Superscript x Baseline approaches y = 0 in quadrant 2 and in
kiruha [24]

Answer:

k = -7

Explanation:

Given

f(x) = 5^x through (0,1) and (1,5)

g(x) = 5^x + k through (0,-6) and (1,-2)

Required

Determine the value of k if f(x) is translated vertically down

To get the value of k, we perform the following operations.

For (0,-6) --- Substitute 0 for x and -6 for g(x) in g(x) = 5^x + k

g(x) = 5^x + k

-6 = 5^0 + k

-6 = 1 + k

k + 1 = -6

k = -6 - 1

k = -7

For (1,-2) --- Substitute 1 for x and -2 for g(x) in g(x) = 5^x + k

g(x) = 5^x + k

-2 = 5^1 + k

-2 = 5 + k

k+5 = -2

k= -2-5

k = -7

To further show that k = -7, we have the following:

f(x) = 5^x

When translated downward by 7 units, the function becomes

g(x) = f(x) - 7

Recall that: g(x) = 5^x + k and f(x) = 5^x

So, we have:

5^x + k = 5^x - 7

Subtract 5^x from both sides

5^x - 5^x + k = 5^x - 5^x + 7

k = -7

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