Answer:
4
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
For all the answers for a multiple choice test don't require to be arranged in an order.
Therefore, By the definition of combination, it's an example of combination where order doesn't matters.
Option B is the answer.
Answer:
1,056
Step-by-step explanation:
1. The best answer is A since a solution is where 2 lines intersect. Whether or not they intersect the x or y axis is completely irrelevant (so is whether they intersect the origin).
2. y=-x+5
-x+5=1/2x+2
-x+3=1/2x
3=3/2x
2=x
y=-(2)+5
y=3
Answer: (2,3)
3. It seems like the lines are completely on top of each other (coinciding) so there are infinitely many solutions.
To find the the maximum value of a function, we set the first derivative equal to 0 and solve for the critical points. The first derivative is:
h'(t) = -32t + 36
Now we will find the critical points:
-32t + 36 = 0
-4(8t-9) = 0
8t - 9 = 0
t = 9/8
As a decimal, the answer is 1.125
To find the maximum height, we plug t = 1.125 into h(t):
h(1.125) = -16(1.125)^2 + 36(1.125) + 5 = 25.25
So the maximum height is 25.25 feet at 1.13 seconds.