Answer: Choice D) Slopes are the same
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Explanation:
The graph of f(x) is a straight line through the two points (0,3) and (1,1). Those points are the left and right points respectively.
Start at (0,3). To get to (0,1), we move 2 units down and 1 unit to the right. Think of the "2 units down" as a "rise of -2". Negative rise means you're really falling.
So the slope of f(x) is
slope = rise/run = -2/1 = -2
slope = -2
The slope of g(x) is also -2
Note how y = -2x-5 is in y = mx+b form
we see that m = -2 is the slope
b = -5 is the y intercept
So that shows why the two functions have the same slope.
Answer:
(-3,5) (6,2) (Plug in these points into (y2-y1)/(x2-x1) to find the slope)
2-5/6-(-3)
-3/9
-1/3 is the slope
y - y1 = m(x -x1) (this is point slope form)
y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)
y -5 = -1/3x -1 (you get to slope intercept form by solving from point slope)
y = -1/3x +4 (this is slope intercept form)
Step-by-step explanation:
Answer:
Max number of bags is 16.
Step-by-step explanation:
Answer:
650 tickets for the main floor and 475 tickets for the balcony were sold.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=1125 (1)
8x+6y=8050 (2), where:
x is the number of tickets for the main floor
y is the number of tickets for the balcony
First, you can solve for x in (1):
x=1125-y (3)
Second, you can replace (3) in (2):
8(1125-y)+6y=8050
9000-8y+6y=8050
9000-2y=8050
9000-8050=2y
950=2y
y=950/2
y=475
Third, you can replace the value of y in (3) to find x:
x=1125-y
x=1125-475
x=650
According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.
The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C
<h3>How to determine the situation?</h3>
The expression is given as:
2 - 5
When the expression illustrates change in temperature, the interpretation can be:
An initial temperature of 2°C decreases by 5°C
Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C
Read more about expressions at:
brainly.com/question/723406
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