Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?
2 answers:
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Answer:
and
.
Step-by-step explanation:
Let be the smaller one of the two number.
must be a positive integer. The other number would be
.
The question states that the product of the two numbers is . In other words:
.
Rearrange this equation and solve for :
.
The first root of this quadratic equation would be:
.
Similarly, the second root of this quadratic equation would be:
.
Since the question requires that both numbers should be positive, . Therefore, only
is valid.
Hence, the two numbers would be and
, which is
.
Factoring, you have
h(t) = -16(t^2 -2 -8) = -16(t -4)(t +2)
The ball hits the ground when h(t) = 0, so
0 = -16(t -4)(t +2)
t = 4 or -2
The positive solution is the one of interest.
It will take 4 seconds for the ball to hit the ground.
h(t) = -16(t^2 -2 -8) = -16(t -4)(t +2)
The ball hits the ground when h(t) = 0, so
0 = -16(t -4)(t +2)
t = 4 or -2
The positive solution is the one of interest.
It will take 4 seconds for the ball to hit the ground.