We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
Answer:
The area under the function .
Step-by-step explanation:
We want to find the Riemann Sum for with 4 sub-intervals, using right endpoints.
A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.
The Right Riemann Sum is given by:
where
From the information given we know that a = 1, b = 3, n = 4.
Therefore,
We need to divide the interval [1, 3] into 4 sub-intervals of length :
Now, we just evaluate the function at the right endpoints:
Next, we use the Right Riemann Sum formula
Answer:
The x-intercept is (2, 0).
Step-by-step explanation:
First write the equation of this line: y = (-3/2)x + 3.
At the x-intercept, y = 0. So, we set the above equation equal to 0 and solve for the x-intercept:
0 = (-3/2)x + 3, or
(3/2)x = 3, or x/2 = 1. Thus, x = 2.
The x-intercept is (2, 0).
Answer:
28/15
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.