Answer:
y=3x
Step-by-step explanation:
In this case, the ratio between sugar and water is 0.5 : 1.5 or 1 : 3.
That means that you need three cups of water for every cup of sugar.
In order to put this into an equation, the slope would be 3/1 or simply 3, and the y-intercept is 0. Even if you used the 0.5 : 1.5 ratio, the slope would be the same since 1.5 / 0.5 = 3.
Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
Answer: 7
Step-by-step explanation: I had this question before
Answer:
(x-2)/(2x+8)
Step-by-step explanation:
The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression
Factor out 2 from the expression
Write 2x as a difference
Factor out x from the expression
Factor out -2 from the expression
Factor out x + 4 from the expression
Reduce the fraction with x - 2
Finally,, distribute 2 through the parenthesis to find your answer
This means that the correct answer to your question is (x-2)/(2x+8)
Answer:
x = 8
Step-by-step explanation:
2x + 46 = 7x + 6
Add -2x and -6 on both sides.
46 - 6 = 7x - 2x
40 = 5x
Divide 5 into both sides.
40/5 = x
8 = x
