Answer:
4. dy/dx = -2
8. dy/dx = 1/2 x^(-3/2)
10/ dy/dr = 4 pi r^2
Step-by-step explanation:
4. y = -2x+7
dy/dx = -2(1)
dy/dx = -2
8. y = 4 - x^-1/2
dy/dx = - (-1/2x^ (-1/2-1)
dy/dx = 1/2 x^(-3/2)
10. y = 4/3 pi r^3
dy/dr = 4/3 pi (3r^2)
dy/dr = 4 pi r^2
1.) First plug in the values for m and A:
![2555 = 139(4) + b](https://tex.z-dn.net/?f=2555%20%3D%20139%284%29%20%2B%20b)
--> ![2555 = 556 + b](https://tex.z-dn.net/?f=2555%20%3D%20556%20%2B%20b)
Isolate b: ![2555 - 556 = 556 - 556 + b](https://tex.z-dn.net/?f=2555%20-%20556%20%3D%20556%20-%20556%20%2B%20b)
b = 1999
So your answer is the first option.
2.) Admission costs $5.25, so even if you don't go on any rides, you will still have to pay $5.25. This means that for this problem, 5.25 will be the b value. If each ride costs $2.50, then this means it is $2.50x for the cost of x rides. The total cost will then be
.
Answer:
A 1.3
Step-by-step explanation:
probabilities lie between 0 and 1 and cannot be more or less
Answer:
B, D
Step-by-step explanation:
-3(0.15 - 0.2 +0.25p) = -3(-0.05 +0.25p) = 0.15-0.75p
A doesn't work because -3(0.15 - 0.2 +0.25p) = -0.45+0.6-0.75
C doesn't work because 3(0.15+0.2+0.25p) = 0.45+0.6+0.75 which doesn't equal -0.45+0.6-0.75.
E doesn't work because 0.15-0.2 = -0.05 not 0.05.