Solve 2 (5x+9) = 6x+26

x = 2

Step-by-step explanation:

1) 2 (5x+9) = 6x+26 --> 10x + 18 = 6x + 26

This is because you would multiply 2 by the numbers inside the parentheses.

2)  10x + 18 = 6x + 26  --> 4x +18 = 26

You would subtract the 6x from each side so it would cancel out the 6 on the right and you would get 4x on the left.

3) 4x +18 = 26 --> 4x = 8

Subtract 18 from both sides canceling out the 18 on the left and giving you 8 on the right.

4) 4x = 8 --> x = 2

Divide both sides by 4.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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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