If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? use the equation h = -16t^2 + 6t +4. round your answer to the nearest hundredth.

t = 0.722 seconds

Step-by-step explanation:

Given in the question that an equation

h = -16t² + 6t + 4

here h is the height

        t is the time

To solve this question we need to substitute height with zero because at ground level height is zero

0 = -16t² + 6t + 4

a = -16

b = 6

c = 4

Formula to use

t = -b±√(b²-4ac) / 2a

Plug values in the formula

t = -6 ± √36-4(-16)(4) / 2(-16)

t =  6±2√73 / 32

t =  6+2√73 / 32 or t =  6-2√73 / 32

t = 0.722 or t = -0.347

since time can't be in negative so we reject  t = -0.347

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.