The required actual distance between the two cities is 87.5 miles.
Given that,
Marking City is 5 inches away from Jamming City on the map. What is the actual distance between the two cities is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
Given scale,
2 inch = 35 miles
1 inch = 35 / 2 miles
1 inch = 17.5 miles
according to the question,
The distance between the two cities apart 5 inch on the map is given as,
= 5 × 17.5
= 87.5 miles
Thus, the required actual distance between the two cities is 87.5 miles.
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Answer: 1
Step-by-step explanation: To solve this problem, let's graph the line.
It's important to understand that the y-intercept is the point where the line crosses the y-axis.
So if our line has a y-intercept of 3, it crosses the y-axis up 3 units. So we start this problem by plotting the point (0,3) which I labeled point A.
From there, our slope of -3 can be thought of as -3/1 so we go down 3 units and to the right 1 unit and plot point B. Notice that point B happens to lie on the x-axis at (1,0) and remember that the x-intercept is the point where the line crosses the x-axis. Since our line crosses the x-axis at the point (1,0), it has an x-intercept of 1.
If you're given a y-intercept and a slope like you are in this problem, you won't always be able to determine the x-intercept but things work out nicely here because point B happens to lie on the x-axis.
The equation of the line would be y = -3x + 3
The x intercept is when y is equal to 0.
To solve for the x intercept, plug 0 in for y and then solve
0 = -3x + 3
0-3 = -3x +3 -3
-3 = -3x
-3/-3 = -3/-3x
1 = x
The x intercept is (1,0)
3 points define a parabola, so the regression will be unique. You want to find a quadratic polynomial such that
where the system above is generated by setting , , and .
Since , we have
So the regression for the given data points is .
a) .05t
b) .95t
c) t-0.05
d) t+0.95