Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.
Step-by-step explanation:
6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.
Answer:
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Step-by-step explanation:
(3,3), (5,7), and (6,9) are points on line A.
Use the coordinates of two of the points to find the slope of A.
Δy =7-9 = -2
Δx =5-6 = -1
Slope = Δy/Δx = 2
Equation for line of slope 2 that passes through (3,3):
y-3 = 2(x-3)
y = 2x-3
(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.
You were given the equation for C: y = 3x+1. Slope = 3
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
Answer:
2x^2+56x
Step-by-step explanation:
9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
