Jabian buys pencils as souvenirs from his vacation to give to his friends. he starts with 90 pencils and gives away 15 each hour until he has no pencils left. use the segment tool to plot a graph representing the number of pencils jabian has left to give away from the time he starts giving them away until he has no pencils left.

At time equals 6 hours Jabian will have no pencils remaining.

Our coordinates for line segment will be (0,90), (6,0)

Step by step explanation:

Please find the attachment.

We have been given that Jabian buys pencils as souvenirs from his vacation to give to his friends. He starts with 90 pencils and gives away 15 each hour until he has no pencils left.

We can see that number of pencils is decreasing with each passing hour. At time equals 0 hours Jabian has 90 pencils. After one hour Jabian will be left with 75 pencils. After each passing hour Jabian will have 60, 45, 30, 15 pencils. We can see that at time equals 6 hours Jabian has no pencils to give away.  

We will use above information to plot the number of remaining pencils with every passing hour. Then we will draw a line segment, which will start from (0,90) and will go to point (6,0).

Therefore, the coordinates for line segment representing the number of pencils Jabian has left to give away from the time he starts giving them away until he has no pencils left will be (0,90), (6,0).

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1