Answer:
300 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost for rent a car
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
<u><em>Prestige car rentals</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to 
The y-intercept is 
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B
solve for x
Step-by-step explanation:
<h3>
</h3>
Prove the LHS
Using trigonometric identities
That's
<h3>
</h3>
<u>Rewrite the expression</u>
We have
<h3>
</h3>
<h3>
</h3>
So we have
<h3>
</h3>
Using trigonometric identities
<h3>
</h3>
<u>Rewrite the expression</u>
That's
<h3>
</h3>
Reduce the expression with cos a
We have the final answer as
<h2>1</h2>
As proven
Hope this helps you
Answer:
3
Step-by-step explanation:
The scale factor is actually 3 broski
By evaluating, we will see that for x = 7 h(x) exceeds g(x).
<h3>
For which value of x does h(x) first exceed g(x)?</h3>
We have:
h(x) = 2*(2)^x
g(x) = 22x - 4
Now we can evaluate both function in the different options:
h(5) = 2*(2)^5 = 64
g(5) = 22*5 - 4 = 106
We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.
h(6) = 2*(2)^6 = 128
g(6) = 22*6 - 4 = 128
So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).
The correct option is B.
If you want to learn more about functions:
brainly.com/question/4025726
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