The data reflects the number of tomato plants planted (x), paired with the number of jars of canned tomatoes (y). A graph has number of tomato plants on the x-axis and number of jars on the y-axis. A line of best fit has equation y = 10.2 x + 0.26.

How can the slope of the line be interpreted?

Every additional tomato plant yields an additional 10.2 jars of canned tomatoes.
Every additional tomato plant yields an additional 0.26 jars of canned tomatoes.
Each jar of canned tomatoes requires 10.2 tomato plants.
Each jar of canned tomatoes requires 0.26 tomato plants.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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

they disappear if your absent from to long. i found out that the hard way.

step-by-step explanation:

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