The solution to 13x = 78 is x = (only input whole number) numerical answers expected! answer for blank 1:

13x means "13*x" or "13 times x". The x is just a placeholder for a number. Think of it as a box. Inside the box will go the number we want. Which number is it? At this point we don't know.

We want a number that will multiply with 13 to get 78.

We could use trial and error to find the unknown number:

13 times 1 = 13

13 times 2 = 26

13 times 3 = 39

13 times 4 = 52

and so on

As you can see, this would take a while. And it's not a guarantee we'll actually find the solution this way.

A much better method is to use algebra. We want to solve for x, or isolate it.

In other words, we need x on its own side. To do this, we undo the multiplication.

Division is the opposite of multiplication. Divide both sides by 13 to undo the "multiply by 13" operation done to x.

13*x = 78

13*x/13 = 78/13 ... dividing both sides by 13

x = 6

So the unknown number mentioned earlier is now known to be 6

The equation

13 times x = 78

turns into

13 times 6 = 78

6

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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step-by-step explanation: