Answer:
The problem basically is saying that find two numbers that add up to 8, where one is three times the other.
Step-by-step explanation:
The best thing to do here is to write a simple system of equations.
b+y=8
b=3y
The first equation means that the total blue paint plus the total yellow paint is equal to 8 ounces.
The second equation means that the blue paint is equal to 3 times the yellow paint.
We can isolate b in the first equation to get b=-y+8
-y+8=3y
8=4y
y=2.
So we have that she needs two ounces of yellow paint.
Therefore she needs six ounces of blue paint.
Drag the yellow bar to 2, and the blue bar to 6.
Hope this helps!
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.
y = mx + 1
To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is 
or 1
y = 1x + 1
y = x + 1
Answer:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
Step-by-step explanation:
