Find the total area of the wall, including the window area: (10 ft)(12 ft) = 120 ft^2.
Next, find the window area: (3 ft)^2 = 9 ft^2
and, finally, subtract the window area from the total wall area: (120-9) ft^2, or
111 ft^2. The total amount of wallpaper needed, with zero waste, is 111 ft^2.
A. Long division
Multiply x-4 by x^2 to get x^3-4x^2. Subtract product
(x^3-7x-6) - (x^3-4x^2) = 4x^2-7x-6
Now multiply x-4 by 4x to get 4x^2-16x. Subtract product
(4x^2-7x-6) - (4x^2-16x) = 9x-6
Now multiply x-4 by 9 to get 9x-36. Subtract product
(9x-6) - (9x-36) = 30
Remainder = (x^3-7x-6)/(x-4) = 30
B. using the Polynomial Remainder Theorem
which says that if a polynomial f(y) is divided by a linear expression (x-a), the remainder equals f(a).
Here f(x)=x^3-7x-6, and (x-a)=(x-4)), i.e. a=4
according to the Polynomial Remainder Theorem,
Remainder = f(4) = (4)^3-7(4)-6 = 64-28-6 = 30 (as before)
Answer:
see above picture
Step-by-step explanation:
hope it helps
Answer:
Your answer is 18 when rounded when it's not it's 17.99
Step-by-step explanation:
To solve this problem, you have to use a proportion:
7/20 = x/100
After setting up the proportion, you have to cross multiply:
20x=700
Now, solve the equation by dividing by 20 on both sides:
x=35
So Charles has 35 laps left.
