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Roman55 [17]
3 years ago
6

Help please

Geography
1 answer:
Ierofanga [76]3 years ago
3 0
<span>Stars that are not very hot but give off a lot of light are called giants. Their temperature is usually between 7,000 and 2,000 degrees and this is considered very low however they emit a lot of light.</span>
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Has a half life with
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Which of the following is the most likely to cause rising of sea levels?
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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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Which of these sets lie within plane w?
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