Answer:mkay, also yes he did
Step-by-step explanation:
1.Remove the parentheses
2.put -5z and 4z together which makes -9z(negative plus positive equals negative)
3.-9z+ -6z=-3z and 7+8=15
4.15 decided by -3=5
so yes, z=-5
Answer:
slope: 3; vertex: (5, -8)
Step-by-step explanation:
Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h). We see that the slope, m, must be 3 and the vertex must be (h, k): (5, -8).
Answer:
y = 12x + 8
Step-by-step explanation:
You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6
Answer:
absolute max is 120 and absolute min is -8
Step-by-step explanation:
Find critical numbers
f'(x) = 3x^2 - 12x + 9 = 0
= 3(x^2 - 4x + 3) = 0
3(x-3)(x-1) = 0
(x-3) = 0 or (x-1)=0
x = 1,3
Test them!
x<1 Sign of f' on this interval is positive
1<x<3 Sign of f' on this interval is negative
x>3 Sign of f' on this interval is positive
f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.
f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.
Test the endpoints to find the absolute max and min.
f(-1) = -8
f(1) = 12
f(3) = 8
f(7) = 120
The absolute maximum value of f is 120 and the absolute minimum value of f is -8.
Answer:
32.33 <= m
Step-by-step explanation:
Since we are dealing with below sea level our initial starting point and max level will both be negative values, while our descending rate will also be negative because we are going down. Using the values provided we can create the following inequality...
-400 <= -12m - 12
Now we can solve the inequality to find the max number of minutes that the submarine can descend.
-400 <= -12m - 12 ... add 12 on both sides
-388 <= -12m ... divide both sides by -12
32.33 <= m