The answer is -125x^6
You do
(-5)^3 * (x^2)^3
Answer:

Step-by-step explanation:
The base function is given as

This graph opens up and has its vertex at the origin.
When we shift the graph of this function down by 9 units, its vertex is now at (0,-9)
The equation of this new graph is

Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:

Plug in the values

Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
Let me know if you have any questions :-)