A ball is thrown from an initial height of 2 feet with an initial upward velocity of 37 fts. The bal's height h (in feet) after t seconds is given by the following. h=2+37-16
Find all values of t for which the ball's height is 22 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
seconds
х
5
?
initial
height
ground

28

step-by-step explanation:

because that's the answer

answer:

c) the x-coordinate of the center of the circle increases by 3

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.