2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

133 children

Step-by-step explanation:

children = x

adults = y

2/9 (x+y) = y

7y - 2x = 0

y+95=x

7y - 2(y + 95) = 0

7y -2y -190 = 0

5y +190

y = 38

38+95 = x

x = 133 children

Step-by-step explanation:

9/9 - 2/9=7/9

adults=7/9

children=2/9

difference between children and adults = 95 = 7/9 - 2/9 = 5/9

                                                                 so 95 = 5/9

if 5/9 = 95                  

  2/9 =                        2/9 x 95 ÷ 5/9 = 38      

answer = 38  

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! : )

cretdit to source

answer: the correct answer is -32

step-by-step explanation: