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Evgen [1.6K]
3 years ago
5

What is the relation between geography and ice ages?

Geography
1 answer:
julsineya [31]3 years ago
6 0
The Ice Ages shaped and sculpted the face of the Earth.  Continents that were once connected by land bridges had shifted and separated during the Ice Ages.  Therefore without the Ice Ages, Earth would look significantly different, and some of the natural beauties like Niagra Falls would not exist.    
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Why are fossil fuels used so much today?
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2 years ago
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

3 0
2 years ago
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