Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2

Dividing both sides by 8,

Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
Hello there!
Jenny wants to park in an airport parking lot. The parking lot costs x amount of money per hour, plus an additional parking fee of $10. Jenny stays in the parking lot for 3 hours.
This causes our equation to be 3x (3 hours) + 10 (additional parking fee).
I hope this helps!
Answer:
4 
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.
So . .
- 2 × 1
× 1
= 4.5 or 4 
Answer:
39.60
Step-by-step explanation:
4.95 times 8
the graphed equation is:
y = -|x| + 1
<h3>
</h3><h3>
How to find the algebraic expression that matches the graph?</h3>
On the graph, we can see an absolute value equation, which opens downwards, and passes through the points (1, 0) and (0,1).
The general absolute value equation is:
y = a*|x - b| + c
Because the vertex is at the point (0, 1), we know that:
b = 0, c = 1
Replacing that we get:
y = a*|x| + 1
Now, this must be zero when we evaluate in x = 1, then:
0 = a*|1| + 1
a = -1
Then the graphed equation is:
y = -|x| + 1
If you want to learn more about absolute value functions:
brainly.com/question/3381225
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