Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Multiplication of 2x^2 – 3xy + y^2 and 2x – 4y
Multiplication refers to the product
(2x^2 – 3xy + y^2) (2x – 4y)
Expand the brackets
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Combine like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The result is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
The volume calculation for the dimensions of 16 ft by 18 ft by 1/3 ft is as follows:
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
Thus, 96 cubic feet of concrete will be required.
Typically, the graph will have a labeled line such as f(x) = ... To find f(3), identify 3 on the x-axis, then trace vertically to the graph line and read the corresponding y-value.
1,680 grams
To determine this, we can set up a proportion as follows:
grams/people=grams/people
The recipe requires 480 grams for 4 individuals and we need to find how many grams (x) are necessary for 14 individuals.
480 grams/4 people=x grams/14
480/4=x/14
Now, let's isolate x, the grams necessary for 14 people. Currently, x is divided by 14, so we will multiply both sides by 14 as multiplication is the inverse of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
Thus, she requires 1,680 grams of couscous to serve 14 individuals.
