Consider the following function: f(x) = x² - 4

Mathematics

1 answer:

dmitriy555 [2]2 years ago

4 0

im not answerin, you thought

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Read 2 more answers

What does g(n) equal

NikAS [45]

We are given the function:
g(n) = $3 (\frac{7}{5} )^n$

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) = $3( \frac{7}{5})^{-3}$

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: $(\frac{7}{5})^{-3} = (\frac{5}{7})^{3}$

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: $\frac{5}{7}* \frac{5}{7}* \frac{5}{7}$ )

$\frac{5^{3}}{7^{3}} = \frac{125}{343}$

We ARE NOT done! We still have this left:
g(-3) = $3 \frac{125}{343}$
Multiplying by 3 you get the following:

$\frac{375}{343}$

So what does g(-3) equal? This right here:

$\frac{375}{343}$

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3 years ago

What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?

alisha [4.7K]

Answer:

Step-by-step explanation:

The given expression is "three less than the quotient of ten and a number, increased by six”

The quotient of ten and a number increased by six is translated into mathematical expression as:

$\frac{10}{n}+6$