There are 272 people in an audience. The ratio of adults to children is 5 : 3. How many are children? (please answer)

There are 102 children

Step-by-step explanation:

Let us solve the question

∵ There are 272 people in an audience

∴ The total number of people = 272

∵ The ratio of adults to children is 5: 3

→ Find the sum of the two parts of the ratio

∴ The sum of the parts of the ratio = 5 + 3 = 8

→ By using the ratio method

→  Adults:  Children:  People

→  5        :   3            :  8

→  A        :   C           :  272

→ By using the cross multiplication

∵ C × 8 = 3 × 272

∴ 8C = 816

→ Divide both sides by 8

∴ C = 102

∵ C represents the number of children

∴ There are 102 children

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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