I
3. The height in feet of a soccer ball that is
kicked can be modeled by the function
f(x) = -8x2 + 24x, where x is the time in
seconds after it is kicked. Find the soccer
ball's maximum height and the time it takes
the ball to reach this height. Then find how
long the soccer ball is in the air.
maximum height:
time to reach maximum height:
Height (ft)

is there any photos or whatever?

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752