Answer: The swimmer dives into the water 5 seconds after the timer is started.
The swimmer comes back up 11 seconds after the timer is started.
Step-by-step explanation:
Multiply 3 to the first bracket then multiply 2 to the second bracket. 3(a+2b) + 2(3a+b) = 3a+6b+6a+2b= 9a+8b
Step-by-step explanation:
1a. Just add both of them.
1b. We just subtract both of the functions.
1c.
1d.
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.
B. (2,3)
Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
