Use FOIL to explain how to find the product of
(a + b)(a − b). Then describe a shortcut that you could use to get this product without using FOIL.

Answers

Answer 1

Answer:

A² + 2AB - B²

Step-by-step explanation:

Answer 2

Answer:

Multiply the first, outside, inside, and last terms of the binomials.

Multiply a times a, a times -b, b times a, and b times -b.

This is the same as just squaring a and squaring b.

A shortcut is to add a squared and b squared

Step-by-step explanation:

Feel free to copy and paste!! Hope this helps!! Have a great day!!   : )


Related Questions

Calcula el numero de vueltas ,por minuto que, da la polea pequeña mienta la grande da 40 vueltas . Sabiendo que cada polea gira de manera que el radio y el numero de vueltas son inversamente proporcionales

Answers

Esta pregunta esta incompleta

Pregunta completa

Calcula el número de vueltas por minuto que hace la polea pequeña mientras que la grande hace 40 vueltas. Sabiendo que cada polea gira de manera que el radio y el número de vueltas son inversamente proporcionales.

El radio de la polea pequeña = 3 cm.

El radio de la polea grande = 9 cm

Answer:

120 vueltas por minuto

Step-by-step explanation:

El radio y el número de vueltas son inversamente proporcionales.

Por lo tanto

R = Radio

T = El número de vueltas por minuto

R ∝ 1 / T

R = k / T

Donde k es constante de proporcionalidad

Polea grande

R = 9 cm

T = 40 vueltas

9 = k / 40

k = 9 × 40

k = 360

Debemos encontrar el número de vueltas para la polea pequeña, por lo tanto,

R = k / T

k = 360, R = 3 cm

3 = 360 / T

3 × T = 360

T = 360/3

T = 120 vueltas

El número de vueltas de la polea pequeña = 120 vueltas por minuto

IM IN NEED OF HELP .!!Antonio is at Best Buy and all TV's are 30% off. He finds a 75" OLED that he
wants, the price is $1500. What is the discount amount and how much did he
pay for the TV? Write and equation

Answers

Answer:

$450. The amount Antonio bought the tv for was $450.

Step-by-step explanation:

If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450

Formula:

(30x1500)/100

A line has a slope of -3/4 and passes through the point (-5, 4). Which is the equation of the line?

Answers

Answer: A

Step-by-step explanation:

y-4 = -3/4(x+5)

y = -3/4x+1/4

Answer: the equation is y= 3/4 times + 1/4 is your answer

I need help I dont wear to start

Answers

Answer:

Yes! it is there are straight across from each other and will never touch Hope I helped!

Which of the following expressions is equal to (2g)5?

10 · g · g · g · g · g

2g · 2g · 2g · 2g · 2g

2 · g · g · g · g · g

10g

Answers

Answer:

The answer is choice b.

Step-by-step explanation:

I took a quiz with the exact same question on it. hopefully I'm not too late ! <3

The expression is;

⇒ 2g * 2g * 2g * 2g * 2g

Option 2 is true.

Given that;

The expression is;

⇒ (2g)⁵

We have to find the equivalent expression.

What is Powers of a number?

The powers of a number is express how many time the numbers are repeated.

The expression is;

⇒ (2g)⁵

Since, The power of 2g is five.

Hence, It can be repeat five times as,

(2g)⁵ = 2g * 2g * 2g * 2g * 2g

Hence, The equivalent expression is;

⇒ 2g * 2g * 2g * 2g * 2g

Option 2 is true.

Learn more about Powers of a number visit:

https://brainly.com/question/28400450

#SPJ2

Write the equation that represents a 15% increase of $120.

Answers

Answer:

$138

Step-by-step explanation:

if 100 is 15 then you add 1.15 or 1% of 15

Mason breaks on average 1.5 pencils each day. How many pencils will he break in a school week?

Answers

Answer:

how long is the school week??

Answer:

He will break 7.5 pencils during a 5-day school week!

Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair

Prove: m∠PRS = 52

-make sure to include statements and reasonings like it shows in the screenshot

Answers

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]

2) Definition of Linear Pair:

[tex]m\angle PRS+m\angle SRT=180[/tex]

3) Given:

[tex]m\angle PRS=2x+12[/tex]

4) Given:

[tex]\displaystyle m\angle SRT=6x+8[/tex]

5) Substitution Property:

[tex](2x+12)+(6x+8)=180[/tex]

6) Combine Like Terms:

[tex]8x+20=180[/tex]

7) Subtraction Property of Equality (subtract 20 from both sides):

[tex]8x=160[/tex]

8) Division Properety of Equality (divide both sides by 8):

[tex]x=20[/tex]

9) Given (this step is optional. You don’t have to include this):

[tex]m\angle PRS=2x+12[/tex]

10) Substitution:

[tex]\displaystyle m\angle PRS=2(20)+12[/tex]

11) Multiplication:

[tex]m\angle PRS=40+12[/tex]

12) Addition:

[tex]m\angle PRS=52[/tex]

Answer:

sorry i dont realy understand that

Step-by-step explanation:

how do you write 6.4 × 10^1 in standard form?

Answers

Answer:

64

Step-by-step explanation:

6.4 * 10^1

is the same as:

6.4 * 10

= 64

2(t+1)=10 what does t equal

Answers

Answer:

t = 4

Step-by-step explanation:

1. 2*t = 2t

2. 2*1 = 2

3. 2t+2 = 10

4. 10-2 = 8

5. 2t = 8

6. 8/2 = 4

7. t = 4

Answer:

t = 4

Step-by-step explanation:

2(t + 1) = 10

2t + 2 = 10

2t = 10 - 2

2t = 8

t = 8 ÷ 2

t = 4

-TheUnknownScientist

What is the slope of the line through (-7,-8)(−7,−8)

Answers

Answer:

the slope would be 0

Step-by-step explanation:

this is because those are the same 2 points

Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5

Answers

Answer:

Step-by-step explanation:

n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.

m is neither.

p is parallel to the given line. For example y = 2/5x

and y = 2/5 x + 9  are parallel to each other.


Mark the additive inverse of each integer!

Answers

Answer:

12, -12

21, -21

-11, 11

17, -17

-21, 21

additive inverse is when the sign changes either to a negative or positive.

therefore

12, -12
21,-21
-11 , 11
17, -17
-21, 21

私はこれをGoogle翻訳を使って書き留めています。地面からうんちをすくい取ります。今やれ!

Answers

Answer:

yessssss

Step-by-step explanation:

thanks ;p;p;

What is the solution to the equation?
Pls help ASAP

Answers

Answer: 12 1/2

Step-by-step explanation:

its easy bruh what grade you in this is 6th grade stuff

The area of a circle, in terms of π, is 196π m2.
Find the value of the radius.

Answers

Step-by-step explanation:

if area of circle = pi times radius^2,

area of circle divided by pi = radius^2

so, square root (area of circle divided by 2) = radius.

so, 196pi = m2

approx 616

616=m2

sqrt 616 =m

approx value of radius is 25 or 24.8

pls mark this as brainliestttt

Tommy bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Tommy bought 14 snowflake stamps. He bought 5 more truck stamps than snowflake stamps, and 5 fewer rose stamps than truck stamps. How many stamps did Tommy buy in all? Show your work, how you came up with the answer.

Answers

Answer:

47

Step-by-step explanation:

s = Number of stamps with snowflake design = 14

Number of stamps with truck design is 5 more than snowflake design

[tex]t=s+5\\\Rightarrow t=14+5\\\Rightarrow t=19\ \text{stamps}[/tex]

Number of stamps with rose design is 5 fewer than truck stamps

[tex]r=t-5\\\Rightarrow r=19-5\\\Rightarrow t=14\ \text{stamps}[/tex]

Total number of stamps

[tex]s+t+r=14+19+14\\ =47[/tex]

So total number of stamps Tommy bought is 47.

What are the x-intercepts of the function y = x2 - X - 6?

Answers

Answer:(3,0) , (-2,0)

Step-by-step explanation:To find the x-intercept, substitute in  0 for y and solve for x

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = {x}^{2} - x - 6 [/tex]

[tex]f(x) = (x - 3)(x + 2)[/tex]

[tex]0 = (x - 3)(x + 2)[/tex]

_________________________________

Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]

_________________________________

Thus ;

[tex] x - 3 = 0[/tex]

Add sides 3

[tex]x - 3 + 3 = 0 + 3[/tex]

[tex]x = 3[/tex]

Or

[tex]x + 2 = 0[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 0 - 2[/tex]

[tex]x = - 2[/tex]

Thus the x-intercepts are (( - 2 )) and (( 3 )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the square root of 40000 step by step
Thx for everything that answers

Answers

The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer

Find −523−16. Write your answer as a mixed number in simplest form.

Answers

Answer:

(-523) - 16 is -539

Step-by-step explanation:

mathmathmathmathmsthmatj

pls help ill give brainlist

Answers

Answer:

F

Step-by-step explanation:

The rise is 8 and run is 6

Answer:

The answer is J) y=-4/3x+8

The three-digit number "ab5" is divisible by 3. How many different three-digit numbers can "ab5" represent?

Answers

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

===============

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

==================

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

=============

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

=============

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

Solve 2|x + 2| – 3 ≥ 0

Answers

Answer:

2x+1

Step-by-step explanation:

Answer

[tex]x[/tex] [tex]\geq[/tex] [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

I'm learning this to but I hope this helps :)

Can someone please help me with this problem ? I would love y’all forever !

Answers

-1= 1
0= 3
1= 5
2= 7
3= 9

What is the domain of this function in the graph below?

What is the interval?

Answers

Domain in interval: [6,infinity)

A recent survey by the alumni of a major university indicated that the average salary of 10,000 of its 300,000 graduates was $125,000. What is the Population?

Answers

Answer:

The population is the total number of the universities  graduates  i.e [tex]N = 300,000[/tex]

Step-by-step explanation:

From the question we are told that

  The number of students that are consider is  n = 10,000

   The total number of graduates is  [tex]N = 300,000[/tex]

  The mean is [tex]\= x = \$125 , 000[/tex]

Here the population is The total number of graduates with value  [tex]N = 300,000[/tex], this is because a population is the pool from with a sample is drawn and in this case the pool is [tex]N = 300,000[/tex] while the sample with is drawn is  n = 10,000

 

HELP PLEASE ILL GIVE U 26 POINTS

Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?

1. (-3,2) and (-1,2)

2.(-3.-2) and (-1,-2)

3. (1,-2) and (3,-2)

4. (2,3) and (2,1)

5. none of the above

Answers

Answer:

1. (-3,2) and (-1,2)

Step-by-step explanation:

Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is

So the coordinates become:

A(-3, -2) → A'(-3, 2)B(-1, -2) → B'(-1, 2)

Correct option is the first one

The ratio of blueberries to strawberries in a fruit salad is 4:3. If there are 45 strawberries in a salad, how many blueberries are there.. Blueberries 4 Strawberries 3

Answers

Answer:

60 blueberries

Step-by-step explanation:

Given the ratio of blueberries to strawberries in a fruit salad to be 4:3. The total ratio = 4+3 = 7

If there are 45 strawberries in the salad then we can first calculate the total mixture of both as shown;

amount of strawberries = 3/7 * x = 45

x is the total amount of mixture

from the expression;

3x/7 = 45

cross multiply

3x = 7*45

3x = 315

x = 315/3

x = 105

The amount of blueberries present = 105 - 45 = 60

Hence the amount of blueberries present is 60 blueberries

Estimate 7 x 522 ns

Answers

3.866 microseconds? 7 x 522 nano seconds = 3.86600 ms

3.86400 hope that helped

matt is playing a game. he gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. what is the final score?

Answers

Answer:

-9 points

Step-by-step explanation:

He starts at 0 but gains 7 [7] then loses 10 [-3] gains 2 [-1] and loses 8 [-9]

negative 9 points i just took it and it’s correct
Other Questions
solve for x:x+3.17=12.78 What main challenge is presented by Including a counterclaim in an essay?The writer can have difficulty finding evidence to support the counterclaim.The reader may find the counterclaim stronger than the claim.The reader may be uninterested in learning about opposing views.The writer can lose his or her credibility on the subject. Health: How can the failure to take antibiotics properly pose a risk to other people's health? A roller coaster speeds up with constant acceleration for 2.3\,\text{s}2.3s2, point, 3, start text, s, end text until it reaches a velocity of 35\,\dfrac{\text{m}}{\text{s}}35 sm 35, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction over 41\,\text{m}41m41, start text, m, end text. We want to find the initial velocity of the roller coaster before it started to accelerate.Which kinematic formula would be most useful to solve for the target unknown? Can you please put this mini paragraph in your own words?When wearing uniforms, it is a struggle to be an individual. Teachers are always saying how important it is to just be ourselves and not worry about what others might think. Having a uniform takes that away from us, and this may lead students to try to find other ways to be different. They might begin to act out so they stick out from the crowd. Without uniforms, we can show everyone who we are through our clothes. Opinions shouldnt be based solely on the clothing of course, but clothing is a fun and easy way to show who you are. Being different is a huge part of being in school and I think we should be able to have the privilege of wearing what we want. It can also give us more confidence.pls help First person to answer the question completely gets brainliest. Identify and describe two archetypes. Your response should be one paragraph. Deduce the square root of 7+43 WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!1: (THE PICTURE)POSSIBLE ANSWERS:Line ALine BLine CLine D2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?POSSIBLE ANSWERS:1. 900mph1. 736mph3. 460mph4. 0.001086mph5. None of the Above FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)? A sample of which element could have a volume of 1.5 cubic centimeters (cm3) and a mass of 7.5 grams (g)? what is hard water and what causes hardness of water Which statement shows a basic difference between a democracy and an autocracy? PLEASE HELP ASAPName the special segment //TO-DO: Fill in the Authors Name Here//TO-DO: Fill in the current date here//CS1428 Lab//Lab 10//Description: this program will find letter grades from 5 number grades#include using namespace std;double getAverage(double g[], const int SIZE){ double total = 0; for(int i = 0; i < SIZE; i++) { total += g[i]; } return total / SIZE;}void getGrades(double g[], const int SIZE){ cout g[i]; }}// TODO: Complete function definitionsint main(){ const int SIZE = 5; double grades[SIZE], average; int numberOfAs = 0, numberOfBs = 0, numberOfCs = 0, numberOfDs = 0, numberOfFs = 0; //TODO: Add function calls return 0;} Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(), y = r sin(), z = r; w r , w when r = 4, = 2 a mixture calls for 1 cup of lemonade and 3 cups of iced tea ratio of lemonade to iced tea Helium is a....a. metalloidb. nonmetalc. metal Mrs. Smith wants to purchase new markers forher class. She compares prices at four differentstores, Which store sells markers for the lowestprice per marker?A.Large lots:10 for $2.50B.Pay less:20 for $4.00C.office mart:30 for $5.50D.save more:40 got $9.50 4/5 of a number is 16. What is the number? The next dividend payment by Skippy, Inc., will be $2.95 per share. The dividends are anticipated to maintain a growth rate of 4.8%, forever. If the stock currently sells for $53.10 per share, what is the required return?