Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
The answer is c
12.4 feet by 9.5 feet
5.) Answer: 0.45
Step-by-step explanation:
There is 1.5 quarts of paint, and 30% is yellow.
30% of 1.5 is 0.45.
6.) Answer: 7.198
Step-by-step explanation:
$499.99 is 100%. We need to find $35.99 off of it in percentage.
499.99/35.99 = 100/x
499.99x = 3599, x = 3599/499.99
x ≈ 7.198
