Assuming they work until their cost become the same, obviously.
The difference between the first charge of painter A and painter B = 376 - 280 = 96.
The hourly cost difference between painter B and painter A = 15 - 12 = 3.
So, painter A in the first hour has 96 more dollars than painter B, and as every hour pass, the difference goes down by 3 (as painter B gets 3 more dollars every hour)
Therefore, it would take 96 : 3 = 32 hours for the cost to be the same
Recheck : After 32 hours, painter A has 376 + 32 x 12 = 760 (dollars)
painter B has : 280 + 15 x 32 = 760 (dollars)
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
Answer: Quadrant 1 because both numbers are Positive
Hope this helps...
Have a great day
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 14), thus
y = a(x - 8)² - 14
To find a substitute (5, 13) into the equation
13 = a(5 - 8)² - 14
13 = a(- 3)² - 14
13 = 9a - 14 ( add 14 to both sides )
27 = 9a ( divide both sides by 9 )
a = 3
Thus
y = 3(x - 8)² - 14 → C
