Answer:
y = -x/2 + 1/2 or
y = -1/2 x + 1/2
(these are equivalent)
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
So we have to get the y all by itself on the left.
2y + x = 1
Subtract x from both sides.
2y = 1 - x
Divide both sides by 2. Divide all the terms by 2.
2y/2 = 1/2 - x/2
Simplify.
y = 1/2 - x/2
Rearrange the terms on the right side so that the x term is first and the constant is last.
y = -x/2 + 1/2
I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:
y = -1/2 x + 1/2
Answer:
The measure of the third angle is 75 degrees.
Step-by-step explanation:
We know that the total angles of a triangle must equal 180 degrees. If we know two of the angles, we must add them together, then subtract them from 180. 45 + 60 = 105, 180 - 105 = 75. The measure of the third angle is 75 degrees.
Answer: B) g(x) = -3x + 4
<u>Step-by-step explanation:</u>
Given f(x) = a(x - h) + k
- a: represents the vertical stretch
- h: represents the horizontal shift to the left (-) or right (+)
- k: represents the vertical shift up (+) or down (-)
You are given f(x) = -x with a vertical stretch of 3 and a vertical shift up 4
→ a = 3, k = 4
resulting in: g(x) = -3x + 4
Answer: x = -3
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
$40 ; $43.20
Step-by-step explanation:
a) 50 * (1 - .20) = 50 * .8 = 40
b) 50 * (1 - .20) * (1 + .08) = 43.20
c) The sales tax increases the price from a by 8%