Answer:
We have been given that Charles has six times as many action figures as Ben
Let Ben has x action figures
So according to question Charles will have 6x.
together the action figures total more than 75



So Ben will have more than
action pictures.
And 

Charles will have more than
.
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:







I’m going to need a bit more information to offer help on this question. I’m sorry
This is child's play.
So, basically:
Y=Length of foot
X= Length of your forearm.
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long.
And of course, Y is the foot.
So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.
So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.
Skipping the data, as that's only something you'd know.
Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in.
So yeah, it's a function.
~Hope this helps m8
Answer:
6 seconds
Step-by-step explanation:
Given
y = - 12x(x - 6)
When the ball hits the ground then height of ball is zero
let y = 0 , that is
- 12x(x - 6) = 0
Equate each factor to zero and solve for x
- 12x = 0 ⇒ x = 0 ← when ball is first kicked
x - 6 = 0 ⇒ x = 6 ← when the ball hits the ground.
The ball hits the ground after 6 seconds