Find the value of x.
3x-6

x = 7

Step-by-step explanation:

We can use ratios to solve

3x-6            10

  =

12+(3x-6)        10+8

Simplifying

3x-6            10

  =

(3x+6)        18

Using cross products

18(3x-6) = 10(3x+6)

Distribute

54x - 108 = 30x +60

Subtract 30x from each side

54x-30x -108 = 60

24x -108 = 60

Add 108 to each side

24x = 60+108

24x = 168

Divide each side by 24

24x/24 = 168/24

x =7

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

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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