Answer:
1.4 hour, or 1 hr 24 min
Step-by-step explanation:
The trains separate at the rate (80 + 90) mph.
Recall that distance = rate times time, or time = distance / rate.
238 mi
Here, the elapsed time is -------------- = 1.4 hr, or 1 hr 24 min
170 mph
Graph is attached below.
Step-by-step explanation:
We have to graph function y = 2x,
From equation, we can see a linear relationship between the values of x and y. This equation shows that the value of y is double than the value of x.
For example,
<u>x = 0</u>
y = 2(0)
y = 0
So, point would be (0,0)
<u>x = 1</u>
y = 2(1)
y = 2
So, point would be (1,2)
<u>x = 3</u>
y = 2(3)
y = 6
So, point would be (3,6)
<u>x = -1</u>
y = 2(-1)
y = -2
So, point would be (-1,-2)
<u>x = -3</u>
y = 2(-3)
y = -6
So, point would be (-3,-6)
By matching these points, a linear graph can easily be drawn. I have also attached the graph pic below.
Keywords: function, graph
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Two equations for two perpendicular lines that have the same y-intercept and do not pass through the same origin are; y = x + 1 and y = -x + 1
<h3>What is the equation of the two lines?</h3>
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when we talk about two perpendicular lines, it means that their slopes are negative reciprocals of each other.
Secondly, we are told that they both do not pass through the origin. Thus, it means that the y-intercept cannot be zero.
Therefore, two possible equations here can be;
y = x + 1 and y = -x + 1
Read more about Equation of lines at; brainly.com/question/13763238
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Answer:
The cost has been reduced by approximately 33%.
Step-by-step explanation:
1% of 120 is 1.2.
80 divided by 1.2 is 66.66666666...
Meaning that $80 is about 66% of the original cost. Therefore, about 33% of the cost was removed.
Hope this helps