Sabrina threw a coin from a building 160 feet high at an initial speed of 30 feet per second. how many seconds will it take the coin to hit the ground?
a. 4.2b. 4.8c. 11.1d. 13.9

Using the formula of free falling bodies v^2=vi^2+2as

where:
v is 0,
vi (initial) is 30ft/s as stated in the problem,
a is the gravity which is 32.2 ft/s
s is the height which is 160

substitute the values and we will get 13.97 seconds.

There is 240 red cars and there is 400 blue cars because 240/3=80 and 80*5=400

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)step-by-step explanation:

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.