3y = - x + 6
y = - 1/3*x + 6/3
y = - 1/3*x + 2
y = mx + b
m = - 1/3
Answer:
The equation of this line is y = 3x - 2
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,-2) and (1, 1). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -2)/(1 - 0)
m = (1 + 2)/(1)
m = 3/1
m = 3
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
Answer:
9 shirts
Step-by-step explanation:
20% of the shirts were blue
20% of 30 is 6
6 shirts were blue
1/2 of the shirts were black
1/2 = 50%
50% of 30 is 15
15 shirts are black
15 + 6 = 21
30 - 21 = 9
(or you could add the percentages to get 70%, and get 30%. 30% of 30 is 9.)
Hope this helps!
The answer is A. And here's how you get it. You start by simplifying between the numerator and the denominator in the top fraction. Factor the top and the botttom so you have this: [7(x+3)/(x+3)(x+2)]/[(x+6)/(x+2)]. The (x+3)'s in the top fraction cancel each other out leaving you with [7/(x+2)]/[(x+6)/(x+2)]. When you divide fractions by fractions you change the sign and flip the fraction in the denominator so now you have this: [7/(x+2)]*[(x+2)/(x+6)]. The (x+2)'s cancel each other out then leaving you with 7/(x+6)
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
