Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so

The final price is equal to the original price multiplied by 1.20
so

2) The price of a video game decreases by 10%
so

The final price is equal to the price at this moment multiplied by 0.90
so

we have that

solve for x

Answer:
The center is at (-3, -2) and the radius = 1.
Step-by-step explanation:
We can do this by converting the given equation to standard form.
x^2+6x+y^2+4y+12=0
x^2+6x+y^2+4y = -12
Completing the square on the x and y terms:
(x + 3)^2 - 9 + (y + 2)^2 - 4 = -12
(x + 3)^2 + ( y + 2)^2 = -12 + 9 + 4
(x + 3)^2 + ( y + 2)^2 = 1
So the center is (-3, -2) and the radius = 1.
Answer:
x=-8
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
Determine the domain
First, we need to solve for p
Substitute 70 for t in 

Collect Like Terms


Solve for p


This implies that Larry can not invite up to 6 people.
Hence, the domain can be represented as: 
Answer:
32 cm
Step-by-step explanation:
Add 12+5+5+4+6 to get the perimeter.