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This is a quadratic function (because of the x^2 term)

quadratic 15x^2

linear 9x

constant-6

Step-by-step explanation:

f(x) = (3x+3) (5x-2)

FOIL

first 3x*5x = 15x^2

outer = 3x(-2) = -6x

inner = 3*5x = 15x

last = -2*3 = -6

Add them together

15x^2 -6x+15x -6

15x^2 +9x -6

This is a quadratic function (because of the x^2 term)

quadratic 15x^2

linear 9x

constant-6

Step-by-step explanation:

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.

Homework Grade (x) Test Grade (y)

58 52

75 66

66 68

85 74

52 38

74 65

78 76