Answer:
11.) 10w^2 + 43w + 21.
12.) -15y^2 - 2y + 8
Check the explanation for details
Step-by-step explanation:
11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w
Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,
Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21
= 10w^2 + 43w + 21.
12.) Repeat the same process by multiplying row by column.
Multiply -3y by 5y and 4 you will get -15y^2 and -12y.
Also, multiply 2 by same 5y and 4. You will get 10y and 8
Therefore, the expansion of
( -3y + 2 )( 5y + 4 ) will be
-15y^2 - 12y + 10y + 8
-15y^2 - 2y + 8
5 packages of spoons and and 4 packages of forks
The volume of a box is equal to the product its width, length and height
V = whl
Since all of the sides are 4 inches, we end up with
V= 4*4*4
Simplify to V = 16*4 = 64.
If the volume of one box is 64:
V = 64
The volume of 12 boxes is 64 * 12.
12V = 768
Since the volume of 12 boxes is the same as the volume of the carton, the volume of the carton must be 768 cubic inches.