<h3>Answer: 14</h3>
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Work Shown:
Side note: The triangles are similar, which allows us to set up the proportion in step 1.
Write the following decimal number in its equivalent fraction form. Show all work for full credit.
2 answers:
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We are given the function:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
)
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here:
g(n) =
We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =
Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:
Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:
We ARE NOT done! We still have this left:
g(-3) =
Multiplying by 3 you get the following:
So what does g(-3) equal? This right here: