FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.
For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].
Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591
The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
Answer:
Mr. Johnson has 12 possibilities.
Step-by-step explanation:
The information provided are:
- Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
- Mr. Johnson has four pairs of pants, black, brown, gray, and white.
- He chooses one shirt and one pair of pants.
Compute the number of ways to select a shirt and a pair of pants as follows:
Total number of ways = Number of Shirts × Number of pair of pants
Thus, Mr. Johnson has 12 possibilities.
Answer:
(2/3,2)
Step-by-step explanation:
3*2/3+4
simplify 2=2
Of course!
Cube: side length * side length * side length
So if it's a 6x6x6 cube, it's 6*6*6 = 216
Rectangular Prism: side length * side height * base width
So if it's a 6x7x8 prism, it's 6*7*8 = 336
Cylinder: π * (radius squared) * height
So if the base's radius is 6 and the height is 7, it's π*6^2*7 = 252π
Answer:
Where are the equations?
Step-by-step explanation:
