Answer:
Step-by-step explanation:
1. (X) (x)
2. (x-) (x-)
3. Factor 24... 2 and 12, 3 and 8, 4 and 6
4. Which two will subract to make 2?
5. Pick 4 and 6
6. Plug it in
7. Get (x-6) (x-4)
Answer:
A) Amanda will pay $47.5
B) 0.5
C) $120
Step-by-step explanation:
A) From the graph given, at 45 miles, the total cost of rentage = $142.50
She now splits this cost with 2 of her friends. Thus each of them will pay;
Amount = 142.5/3 = $47.5
So,Amanda will pay $47.5
B) To find the slope, we will pick two points on the graph and use their respective coordinates to find the slope.
Coordinates we pick are;
(0, 120) and (50, 145)
Thus, slope; m = (y2 - y1)/(x2 - x1)
m = (145 - 120)/(50 - 0)
m = 25/50
m = 0.5
C) The equation for the graph will now be; y = mx + c
Where m is slope and c is y - intercept.
Thus;
y = 0.5x + 120
Coincidentally, c = 120 will be the fixed price of the truck while 0.5x will be the variable cost depending on how many miles are driven.
Thus renting for a day is simply the fixed cost of $120
By solving an absolute value equation, we will see that the two solutions are:
x = 49 and x = -41
<h3>
How to solve the equation for x?</h3>
First, we need to write the equation, we will get:
(1/5)*|x - 4| - 3 = 6
That is an absolute value equation, first let's isolate the absolute value part on the left side, so we get:
(1/5)*|x - 4| = 6+ 3 = 9
|x - 4| = 9*5 = 45
Now we have the simpler equation:
|x - 4| = 45
Which can be written in two ways:
x - 4 = 45
x - 4 = -45
So we will have two solutions for x:
x = 45 + 4 = 49
x = -45 + 4 = -41
These are the two possible values of x.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
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Answer:
Step-by-step explanation:
(1,9) and (-2,-2)
y2 = -2, y1 = 9, x2 = -2 and x1 = 1
m = {y2 - y1}/{x2 - x1}
m= {-2 - 9}/{-2 - 1}
m = -11/-3
m = 11/3
