That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground
so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
Answer:
g(-5) = 15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
g(-5) = -2(-5) +5 = 10 +5
g(-5) = 15
<h3>
Answer: 4</h3>
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Work Shown:

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that
to break up the roots.
Answer:
7 is y= 0.25p+5
8 is 60t=1350
9 is y=5t+40
10 is y=1 1/4b
Step-by-step explanation: