2x + 6y = 20
3x - 2y = 8
I'll just substitute x and y with its corresponding values per option.
A) x = 4 ; y = 2
2(4) + 6(2) = 20 3(4) - 2(2) = 8
8 + 12 = 20 12 - 4 = 8
20 = 20 8 = 8
B) x = 4 ; y = -2
2(4) + 6(-2) = 20
8 - 12 = 20
-4 ≠ 20
C) x = -2 ; y = 4
2(-2) + 6(4) = 20 3(-2) - 2(4) = 8
-4 + 24 = 20 -6 - 8 = 8
20 = 20 - 14 ≠ 8
D) x = 2 ; y = 4
2(2) + 6(4) = 20
4 + 24 = 20
28 ≠ 20
Choice A. x = 4 ; y = 2 is the correct answer.
30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04
2^-2 x (13x3)-5^3
1/ (2^2) * 39 - 125
1/4 *39 -125
39/4 -125
9 3/4 - 125
factor out -1
- (125-9 3/4)
borrow to subtract the fraction
- (124 4/4 - 9 3/4)
- (115 1/4)
-115 1/4
Answer: The slope of the line is 6.
You can use the distance formula to find the slope (Y2-Y1/X2-X1). You can plug in any two points seen on the graph into the formula. I will use (0,-1) and (1,5). When I plug in the values, 5-(-1)/1-0=6/1=6. So the slope of the line is 6.
:)
