If a fourth plant produces 150 widgets in 60
days, which statement is true?

the complete question in the attached figure

the statements are

1) It makes less than plant B

2) It makes the same as plant A

3) It makes more than plant C

we know that

analyzing the graph

plant A

for x=40  y=100

for x=50   y=200

that means 

the production in 10 days is 100 widgets

then

the production in 60 days will be 6*100> 600 widgets

so

plant A production  > plant fourth production

plant fourth production < plant A production

plant B

for x=40  y=0

for x=60   y=100

that means 

the production in 20 days is 100 widgets

then

the production in 60 days will be 3*100> 300 widgets

so

plant B production  < plant fourth production

plant fourth production > plant B production

plant C

for x=20  y=0

for x=40   y=100

that means 

the production in 20 days is 100 widgets

then

the production in 60 days will be 3*100> 300 widgets

plant C production  < plant fourth production

or 

plant fourth production > plant C production

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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