Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?
2 answers:
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Answer:
45 gallons
Step-by-step explanation:
1 hour = 3 gallons
2 hours = 6 gallons
3 hours = 9 gallons
4 hours = 12 gallons
5 hours = 15 gallons
10 hours = 30 gallons
15 hours = 45 gallons
(a) Compare your quadratic for h to the general quadratic ax² +bx +c. Perhaps you can see that ...
a = -16
b = 128
You use these numbers in the given formula to find the time when the ball is highest.
t = -b/(2a) = -128/(2(-16)) = 4 . . . . . . the time at which the ball is highest
(b) Evaluate the quadratic to find the height at t=4.
h = -16(4)² +128(4) +21
h = -256 +512 +21
h = 277
The maximum height of the ball is 277 ft.
a = -16
b = 128
You use these numbers in the given formula to find the time when the ball is highest.
t = -b/(2a) = -128/(2(-16)) = 4 . . . . . . the time at which the ball is highest
(b) Evaluate the quadratic to find the height at t=4.
h = -16(4)² +128(4) +21
h = -256 +512 +21
h = 277
The maximum height of the ball is 277 ft.