Which of the following is a rational number? (4 points)
1 answer:
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Answer:
See attached picture and description below.
Step-by-step explanation:
Graph each equation as you would graph any linear function. Plot the y-intercept for the first equation at (0,5) then move down 0.5 units and to the right 1 unit. This is the right boundary and should be plotted with an open circle. (red graph.
The second equation should be graphed starting at the y-intercept (0,-2.5) then proceeding down 0.5 units and over 1 unit to the right. (blue graph)
See graph below for complete graph.
Answer:
The Riemann sum equals -10.
Step-by-step explanation:
The right Riemann Sum uses the right endpoints of a sub-interval:
where
To find the Riemann sum for with n = 5 rectangles, using right endpoints you must:
We know that a = -6, b = 4 and n = 5, so
We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length
Now, we just evaluate the function at the right endpoints:
Finally, just sum up the above values and multiply by 2
The Riemann sum equals -10