Use the graph of f(x) below, g(x) = 5x + 5, and the table of h(x).
which best compares the slopes and y-intercepts of the linear functions f and h?
a. the slope of f is greater than the slope of h.
the y-intercept of f is less than the y-intercept of h.
b. the slope of f is less than the slope of h.
the y-intercept of f is greater than the y-intercept of h.
c. the slope of f is less than the slope of h.
the y-intercept of f is less than the y-intercept of h.
d. the slope of f is less than the slope of h.
the y-intercept of f is the same as the y-intercept of h.

5 pm

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.