Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
So, let's let w be the length of the first piece of the board.
(I was going to do l (small L) but it's too hard to see on computers)
second piece is 2w since it's twice the length of first.
third piece is 6w, since it's six times longer than the first.
and these three pieces were one one 180ft board, therefore, that means:
w + 2w + 6w = 180
now let's solve for w (length of first piece)!
w + 2w + 6w = 180
7w = 180
w = 180/7 ≈ 25.71ft
Therefore, the first piece of the board would be approximately 25.71ft.
Answer:3 and 10
Step-by-step explanation:
3 times 10 equals 30
3 plus 10 equals 13
Try finding the area of the box and the container
Then divide the container's area by the tissue box
Hope this helps :)
