A suitable calculator can row-reduce the augmented matrix.
first number: 3
second number: 1
third number: 8
first number: 3
second number: 1
third number: 8
When a shape becomes smaller, what transformation is happening?
1 answer:
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The best answer is:
B) y = 6.1x + 74.5, r = 0.48
<span>Predicted test score for 4 hours of study equals 99.
See the attachment for graph</span>
B) y = 6.1x + 74.5, r = 0.48
<span>Predicted test score for 4 hours of study equals 99.
See the attachment for graph</span>
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
