Answer:
-3
Step-by-step explanation:
the y intercept is the number that does not have a variable behind it (3)
the slope is the number that does have a variable behind it (4)
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.
Answer:
remaining portion is area= area of rectangle- area of semicircle
= 18*14 - 3.14*7^2
=252-154.86
=199.86cm^2
Answer:

63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them

He then ate 16 more jelly beans

This was equal to 37 jelly beans

This is the equation
Now solve for x
Subtract 16 from both sides

Multiply both sides by 3

63 Jelly Beans
Answer:
Step-by-step explanation:
55