Answer:
x=6
Step-by-step explanation:
12x + 6= 78
-6 -6
12x = 72
(Divide by 12)
72 divided by 12 is 6.
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Answer:
2730$
Step-by-step explanation:
The amount of money left in the account after n years is given by the equation

where
is the initial amount of money
r is the rate of interest
n is the number of years
In this problem, we have:
is the initial amount of money
is the interest rate (5%)
n = 1 is the number of years
Therefore, the amount of money after 1 year is

4/4=1. So we need to subtract 1 from 4 to get the final Answer which is 3.
Answer:
The answer is: y = 2/3x - 3
Step-by-step explanation:
Given point: (3, -1)
Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.
Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:
y - y1 = m(x - x1)
y - (-1) = 2/3(x - 3)
y + 1 = 2/3x - 6/3
y + 1 = 2/3x - 2
y = 2/3x - 3
Proof:
f(3) = 2/3(3) - 3
= 6/3 - 3
= 2 - 3
= -1, giving the point (3, -1)
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Answer:
Option A. 
Step-by-step explanation:
Let
t ------> the number of additional toppings
c ----> the cost of the pizza in dollars
we know that
The linear equation that represent this situation is

This is the equation of the line in slope intercept form
where
the slope m is equal to

the y-intercept b is equal to
-----> the cost of a pizza without topping