You might need: Calculator The following data points represent the volume of gas in each race car driver's tank (in liters).
4, 5, 13, ?
If the mean of the data set is 7 L. find the missing volume of gas.
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The missing value is 6!

Step-by-Step Explanation:

First, we know that there are 4 values in total, so we must multiply the mean, 7, by 4 to get the total sum of all the values. (7*4=28)

Now, we can write this as a function, where we can represent the missing value as 'x'.

In order to get the missing value, we must solve the equation.

Step 1: Simplify.

Step 2: Subtract 22 from both sides.

x is equal to 6, which means the missing volume of gas is 6!

2 is the final ! : )

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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