Answer:
the point is on the line
Step-by-step explanation:
The ordered pair gives the values of (x, y). Put those values in the equation and see if it is true:
y = 4x -3
17 = 4(5) -3 = 20 -3 . . . . . . for (x, y) = (5, 17)
17 = 17 . . . . true, the point is on the line
Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
The unit rate of the bicycle is 0.3 kilometers per minute.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept (initial value of y).
Let y represent the km travelled by the bicycle after x minutes. From the graph using the point (0, 0) and (40, 12), hence:
Unit rate (m) = (12 - 0)/(40 - 0) = 0.3 km/min
The unit rate of the bicycle is 0.3 kilometers per minute.
Find out more on Linear equation at: brainly.com/question/14323743
