Answer:
Step-by-step explanation:
I don't have a graph to draw on, but get some paper and follow these steps:
1) draw y = x
2) draw y = x - 6
3) draw y = |x - 6|
4) draw y = |x - 6| - 4
You should simply be transforming the previous graph each time, until you get to the desired function. (If in doubt use desmos online graphing tool)
Look at the intersecting point on the graph and see the ordered pair then wright it down
Answer:
1. 25
2. 7
Step-by-step explanation:
Let the variables be denoted as "x".
1. If 5 times "x" is increased by 50, the result is the same as when 200 is decreased by "x".
Set the equation:
5x + 50 = 200 - x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, add x and subtract 50 from both sides:
5x (+ x) + 50 (-50) = 200 (-50) - x (+x)
5x + x = 200 - 50
6x = 150
Next, divide 6 from both sides of the equation:
(6x)/6 = (150)/6
x = 150/6 = 25
25 is your number.
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2. If 50 is decreased by 4 times "x", the result is 15 more than "x".
Set the equation:
50 - 4x = 15 + x
Isolate the x. Note the equal sign, what you do to one side, you do to the other. First, subtract x and subtract 50 from both sides:
50 (-50) - 4x (-x) = 15 (-50) + x (-x)
-4x - x = 15 - 50
-5x = -35
Divide -5 from both sides of the equation:
(-5x)/-5 = (-35)/-5
x = -35/-5 = 7
x = 7
7 is your number.
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