B. The amount of distance it traveled for 5 gallons is 77.5 mi as 40+20+10+5+2.5 so divide that by 5 and you get 15.5
If you are asking if your work is good,thn yes,you are right
Perpendicular lines have the slopes which product is - 1:
m 1 * m 2 = - 1
First we must transform the first line to the slope-intercept form:
x + 2 y = 4
2 y = - x + 4 /:2
y = - 1/2 x + 2
Therefore: m 1 = - 1/2
( - 1/2 ) * m 2 = - 1
m 2 = ( - 1 ) : ( - 1/2 ) = ( - 1 ) * ( - 2 ) = 2
m = 2 ( this is the slope that we need for our equation )
Then we will charge it to the formula : y = m x + b ( which also passes through the point ( 1. 5 ) ):
5 = 2 * 1 + b
5 = 2 + b
b = 5 - 2
b = 3
Answer:
y = 2 x + 3
M-N is ![M-N=2x^2+11x-9](https://tex.z-dn.net/?f=M-N%3D2x%5E2%2B11x-9)
Option B is correct.
Step-by-step explanation:
If
and
then find M-N
We need to subtract N from M
We will combine like terms (terms having same variable and exponent) and then solve them:
![M=5x^2+7x-4](https://tex.z-dn.net/?f=M%3D5x%5E2%2B7x-4)
![M-N=5x^2+7x-4-(3x^2-4x+5)\\M-N=5x^2+7x-4-3x^2+4x-5\\Combining\,\,like\,\,terms:\\M-N=5x^2-3x^2+7x+4x-4-5\\M-N=2x^2+11x-9](https://tex.z-dn.net/?f=M-N%3D5x%5E2%2B7x-4-%283x%5E2-4x%2B5%29%5C%5CM-N%3D5x%5E2%2B7x-4-3x%5E2%2B4x-5%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5CM-N%3D5x%5E2-3x%5E2%2B7x%2B4x-4-5%5C%5CM-N%3D2x%5E2%2B11x-9)
So, M-N is ![M-N=2x^2+11x-9](https://tex.z-dn.net/?f=M-N%3D2x%5E2%2B11x-9)
Option B is correct.
Keywords: Solving Polynomials
Learn more about Solving Polynomials at:
#learnwithBrainly
14h+11d
16s+6
This is how you do it I’m pretty sure we are doin the same thing in my class