Answer:
After 1 second, the ball will reach a maximum height of 16 feet
Step-by-step explanation:
The height of the ball after t seconds: h(t) = -16t^2 + 32t
The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola
t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second
then
h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16
After 1 second, the ball will reach a maximum height of 16 feet
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation:
Answer:
12/18
Step-by-step explanation:
HI THERE!
i can help you :)
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let the number of raisins (in pounds) be R and the number of peanuts (in pounds be p.
since the bag is 30 pounds, so R+P =30
the total cost of the bag is 30 pounds* 4.05 per pound = $121.50 .
now we can use the per-pound costs to write an equation . . .
5R+3.8P=121.5
Now just solve that first equation. . (R+P=30) for R. R= 30- P
now use that to substitute in the other equation
5R+3.8P=121.5
5(30-p) + 3.8P=121.5
solve for p
150- 5P+ 3.8p = 121.5
150-1.2p=121.5
150-1.2p=121.5
-1.2p=-28.5
P=23.75
now use that to find r
R+p =30
r+23.75=30
R=6.25
(hope this helps sorry it took so long to type )
have a good day !
