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Varvara68 [4.7K]
2 years ago
14

Use the function below to find F(4).

Mathematics
1 answer:
Nostrana [21]2 years ago
8 0

Hello !

F(x) = 5 \times ( \frac{1}{3} ) {}^{x}

F(4) = 5 \times ( \frac{1}{3}) {}^{4}  = 5 \times  \frac{1 {}^{4} }{3 {}^{4} }  = 5 \times  \frac{1}{81}  =  \frac{5}{81}

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Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
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An oil company is considering 2 sites on which to drill, described as follows:
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Answer:

B and D.

Step-by-step explanation:

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<em>However</em>, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

<em>But</em>, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

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Let's go through each of the answer choices.

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Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

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y=0

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

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Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

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E) The y-intercepts of f(x) and g(x) must be opposites.

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But, we can think about this. Note that if we multiply the two functions, we have a function <em>without</em> a y-intercept.

Remember that our horizontal line is <em>not</em> 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we <em>must</em> get another number.

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In fact, this means that the y-intercept of our line (not the horizontal one) <em>must </em>be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

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Answer:

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Step-by-step explanation:

If you want step by step explanation you can get your explanation from

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