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Novay_Z [31]
3 years ago
8

B. Why does using FOIL on polynomial expressions match so closely to integer

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0
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.
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Simplify 2m - [n - (m - 2n)].<br><br> -3m - n<br> 3m - n<br> -3m - 3n<br> 3m - 3n
VMariaS [17]
2m - [n - (m - 2n)]

2m - n + (m - 2n)

2m - n + m - 2n

2m + m - n - 2n

3m - 3n

Answer is D.
5 0
2 years ago
Olivia paid $28 for a pair of boots that sold regularly for $80. What
marissa [1.9K]

35% because 35% of 80 is 28

4 0
3 years ago
The diameter of a planet is about 10,652 mi. The diameter of the planet's moon is about 25% of the planet. What percent of the v
alekssr [168]

Answer:

2\%

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of  the planet's moon

y---> the volume of the planet

so

z^{3}=\frac{x}{y}

In this problem we have

z=0.25

elevated to the cube

z^{3}=0.25^{3}=0.015625

Find the percent

0.015625*100=1.56\%

Round to the nearest whole number

1.56\%=2\%

5 0
3 years ago
Find the number of outcomes in the complement of the given event.
stealth61 [152]

Answer:

96

Step-by-step explanation:

Out of 270 apartments in a complex, 174 are subleased.

Given that :

Total number of apartments in complex = 270

Number subleased = 174

The complement of event A = not A

Therefore, The complement in this scenario is NOT SUBLEASED ;

Hence, the Number of apartments in complex not subleased is :

Total apartment in complex - number subleased

270 - 174 = 96

5 0
2 years ago
Find the slope of the line that passses thruogh 1,5 and 10,9
vichka [17]

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

4 0
3 years ago
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