9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
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You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
Answer:
y=2x-4
Step-by-step explanation:
Given the points (0, -4) and (5, 6), -4 is the y-intercept because it's given.
Use the slope-intercept form to solve for the slope: y=mx+b.
6=5(m)-4
+4 +4 add both sides by 4
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divide both sides by 5 to isolate m
2=m
The equation of the line is y=2x-4
Answer:
12 purple balloons.
Step-by-step explanation:
A clown has 54 purple balloons and 36 orange balloons.
So, the ratio of the number of purple balloons to orange balloons is 54 : 36 = 3 : 2.
Now, the clown arranges the balloons in two groups that have the same ratio of purple balloons to Orange balloons as a whole collection of balloons.
So, in each group, the ration of the number of purple to orange balloons will remain 3 : 2.
If in a group there are 8 orange balloons, the number of purple balloons in the group will be . (Answer)