<span>The nonpermissible replacement is when the denominatory equals zero. In this case, when x=-.5, the denominator equals zero. Therefore, -.5 is the nonpermissible replacement. </span>
Answer:
The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16
Step-by-step explanation:
Answer:
Area = πr², where "r" is some distance "y" and/or the function "(1/6)x"; depending on the situation
Step-by-step explanation:
If I'm picturing this correctly, you'll have conical shape after revolving the function about the x-axis. If you took some generic slice and wanted to find the area of the resulting cross-section, then you would have a circle whose radius is some arbitrary value of the line that matches the slice.
For example:
y = (1/6)x right?
If you took a slice at x = 2, then the radius of the resulting cross-sectional circle would be equal to y = (1/6)•2 =1/3.
From here you just plug it into the area of a circle, πr², to get an area of π/3.
Except with an integral you need to take all the points on the interval, so the radius comes out to be the function itself.
Assuming your integral is in terms of dx, r=y. But in order to integrate in terms of dx you must replace "y" with its function (1/6)x. So ultimately r=(1/6)x and Area = π(1/6)x.
Given that <span>Rashawn read 25 pages of his book each day until he finished the book. His book was 400 pages long.
The number of days it takes him to finish the book is given by 400 / 25 = 16 days.
In 0 days, he has 400 pages remaining and in 16 days he has 0 pages remaining.
Therefore, the graph that represents the situation is a</span><span>
graph in the first quadrant containing a line segment. The x axis is
labeled Days and the y axis is labeled Pages remaining. The endpoints of
the line segment are (0, 400) and (16, 0).</span>
