Apopulation of middle school students contains 160 sixth graders, 180 seventh graders, and 140 eighth graders. nine seventh graders were part of a random sample of the population chosen to participate in a survey. for the sample to accurately represent the population, about how many sixth graders should be chosen?

7

8

14

16

Second option is correct.

Step-by-step explanation:

Since we have given that

Number of sixth graders students = 160

Number of seventh graders students = 180

Number of eighth graders students = 140

If 9 seventh graders were part of a random sample of the population chosen to participate in a survey.

Let Number of sixth graders should be chosen be 'x'.

Since there will be direct proportion .

Hence, Second option is correct.

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: