Answer:
Yes, the relation is a function.
Step-by-step explanation:
Using the vertical line test is quite simple, really. You draw imaginary lines vertically down the graph and if at any point the imaginary lines intersect the given graph more than once, it's not a function. That simple, honestly. So, I used an online graphing calculator to graph the points (-6,-2), (-2,6), (0,3), (3,5), and then drew my imaginary lines. they did not intersect more than once so this indicates the relation is a function.
I really hope this helps you:) let me know if you have any more questions about this.
P.S. The lines on the image are nowhere near to straight so I'm sorry about that. freehanding with a mouse is a bit difficult.
True
_____
"quad" is a prefix meaning 4.
"lateral" refers to sides.
"Quadrilateral" means "4-sided".
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
Each step subtracts 3 from the previous number.
14 - 3 = 11
11 - 3 = 8
The sequence will continue:
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
Etc.
14, 11, 8, 5, 2, -1...
