There is no change in the y axis, so it's a vertical distance, and 8-7=1, so the distance is 1
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
Answer:
A
Step-by-step explanation:
Same reason as d
That's the answer.
Answer:

Step-by-step explanation:
First, deal with the product of the two powers of 2 inside the parentheses.
The two factors are powers of 2, so add the exponents.


You need a common denominator, 4, to add the fractions.


Now you have an exponent raised to an exponent. Multiply the exponents and reduce the fraction.



When a fraction is an exponent, the numerator is an exponent and the denominator is the index of the root. A denominator of 2 means a root index of 2 which means square root.

Answer:
Step-by-step explanation:
f(g(x) ) = 5(g(x)) +8
=5(3)+8
=15+8
=23
g( f(x) ) = 3(f(x))
=3(5x+8)
=15x +24
:)