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:
2x15-5=30-5=25 So, the answer is 25.
Answer:
No solution or
(-3±
)/8
Step-by-step explanation:
To get the solution, move everything to the left side of the equation:
8x²+6x+5 = 0
If you try to factor the equation or graph it, you will see that it will never equal 0.
If you need an imaginary solution you can plug it into the quadratic equation:
-6±
over 16
Simplify and you get
-6±
over 16
-6±
over 16
Simplify the fraction and you can get
(-3±)/8
Suppose, number of sunshine days in Boston, Massachusetts is: x
Then, number of sunshine days in Colorado Spring, Colorado will be: 1.4 x
Given that, total number of days of sunshine for both city is: 475
That is, x+1.4x = 475
Solving for x,
x=198
1.4x= 277
Therefore,
Number of sunshine days in Boston, Massachusetts is 198
and
Number of sunshine days in Colorado Spring, Colorado is 277
Answer:11/15
Step-by-step explanation:
Most common denominator is 15 multiply 2/5 by 3 and 1/3 by 5 and that’s what you get
