Answer:
-7x + 4y = +42
Step-by-step explanation:
Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.
Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:
0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.
We must put this into "standard form." Multiplying all three terms by 4, we get:
4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:
-7x + 4y = +42
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
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Answer:
b) 5:11
Step-by-step explanation:
count the orange squares and the white squares
Qty · % = Total
Drink 1: x .25 = .25x
Drink 2: 15 - x .10 = .10(15 - x)
Mixture: 15 .21 = .25x + .10(15 - x)
(15)(.21) = .25x + 1.5 - .10x
3.15 = .15x + 1.5
1.65 = .15x
11 = x
Drink 1 (25%) is 11 liters
Drink 2 (10%) is 15 - 11 = 4 liters
