Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:

In which a is a multiplier.
When r=4 M=160.
We use this to find a. So





So

1) work out the value of M when r=2

When r = 2, M = 20.
2) work out the value of r when M=540




![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

When M = 540, r = 6.
Answer:
The second answer.
Step-by-step explanation:
Tim is correct. Absolute value is just the distance away from 0. In this case, both P and Q are 3/8 away from zero, even though they have opposite signs. In fact, opposites signs of the same number will always have the same absolute value because they are the same distance from 0.
So, it is the second one.
Hope this helps!
Y = a(x + 1.5)^2 - 12.5
y intercept is (0,-8) so:-
-8 = a(0+1.5)^2 - 12.5
-8 = 2.25a - 12.5
a = 4.5/ 2.25 = 2
so we have
y = 2 ( x +1.5)^2 - 12.5
solving for x when y = 0:-
(x + 1.5)^2 = 12.5/2 = 6.25
taking sqrt's x + 1.5 = +/- 2.5
x = -4, 1
so the x intercepts are (-4,0) and (1,0)
Answer:
4
+
4
0
Step-by-step explanation:
Simplify
1
Eliminate redundant parentheses
(
+
1
5
)
+
(
+
5
)
+
(
+
1
5
)
+
(
+
5
)
2
Add the numbers
3
Combine like terms
Solution
4
+
4
0
Answer:
Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.
Part B: y=8d+12b
Step-by-step explanation: