The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
- y = –x2 + 4x + 5
- y = x2 + 2x + 1
Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
Learn more on equations here: brainly.com/question/16863577
The variable "g" represents how many gallons of fuel.
(In this scenario, g = 20)
The long wire is longer and the short wire is shorter :)
80, because 120 divided by 3 is 40. 40 = 1/3 of 120, and 2/3 of 120 is 80 because 40+40= 80