Since the board is in inches, she can lay the board on the side of the rug. after she finds how many inches the rug is, Lyza can convert the inches into feet by dividing the amount of inches by 12.
Is there anything to look at?
First, make all the denominators same.
Then calculate.
Hopefully this helps :D
3.14 x 9^2 x 14/3 = 1186.92
4/3 x 3.14 x 9^3 = 1526.04
1186.92 + 1526.04 = 2712.96 = 2713 cubic inches
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.