The table shows the height of a ball, ​h(t)​, after t seconds. The data can be modeled using a quadratic regression equation. Time (s) 1 2 3 4
Height (ft.) 88.7 139.9 158.9 146.1
Approximately when will the ball hit the ground?

0 s

5.2 s

6.3 s

7.5 s

6.3 seconds

Step-by-step explanation:

Make a table

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

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