What is Foil Method give atleast one example​

Answers

Answer 1
What is Foil Method?

A foil method is a technique where two or more binomials multiply.

FirstOuterInnerLastExample 1

[tex]\tt{(b + 3) (b + 7)}[/tex]

[tex]\tt{F: (b)(b) = b^2}[/tex]

[tex]\tt{O: (b)(7) = b7}[/tex]

[tex]\tt{I: (3)(b) = 3b}[/tex]

[tex]\tt{L:(3)(7) = 37}[/tex]

[tex] \tt{=b^2 +7b+3b+21}[/tex]

[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]

Example 2

[tex]\tt{(x + 3)^2}[/tex]

[tex]\tt{F: (x)(x) = x^2}[/tex]

[tex]\tt{O: (x)(3) = x3}[/tex]

[tex]\tt{I: (3)(x) = 3x}[/tex]

[tex]\tt{L:(3)(3) = 9}[/tex]

[tex] \tt{=x^2 +3x+3x+9}[/tex]

[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]


Related Questions

Huilan's age is three times Thomas's age. The sum of their ages is 92. What is Thomas's age?

Answers

Answer:

23

Step-by-step explanation:

Set Thomas' age to be variable x.

Since Huilan is 3 times the age of Thomas, he is 3x.

3x + x = 92 (The sum of their age)

4x = 92

4x/4 = 92/4   (Isolate x)

x = 23

Extra information: Huilan is 69 because 23 x 3 = 69

A 3-column table with 6 rows. Column 1 is labeled Month with entries July, August, September, October, November, December. Column 2 is labeled New with entries 35, 45, 20, 27, 51, 38. Column 2 is labeled Used with entries 62, 42, 55, 39, 12, 87.
Hector’s car dealership sells new and used cars. The table shows the number of each type of car the dealership sold by month for the last half of the year. Find the lower and upper quartiles for used cars.

Used Cars

Lower quartile =
Upper quartile =

Answers

Answer:

I subtracted the highest and lowest numbers. The range for new cars was 31. The range for old cars was 75. The range for used cars was much bigger.

Hope's this helps you.

Step-by-step explanation:


Which of the following is a solution of

Answers

[tex]\frac{7+\sqrt{13}}{6}[/tex]  is the answer

Step-by-step explanation:

Can anybody pls help! Offering 25 points! This is due soon!

Answers

Answer: A' (1, 5)

B' (-3, 5)

C' (-3, 2)

D' (1, 2)

Step-by-step explanation:

To reflect across the y-axis the original point (x, y) must become (-x, y) which is essentially taking the opposite of x

We can do that with each of the point of the rectangle ABCD to make the reflect rectangle A'B'C'D'

A (-1, 5) to A' (1, 5)

B (3, 5) to B' (-3, 5)

C (3, 2) to C' (-3, 2)

D (-1, 2) to D' (1, 2)

& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

Answers

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

Find the surface area of the regular pyramid. HELP QUICK!! (Asking again because the commenter DankBoi18 tried to put a virus on my pc)

Answers

We will see that the surface area of the triangular pyramid is equal to 170.1 yd^2

How to get the area of the pyramid?

Remember that the area of a triangle is equal to:

A = (1/2)*b*h

Where b is the base, and h is the height.

On the triangular pyramid, we have 3 faces with a base of 9 yards and a height of 10 yd, so the area of these 3 faces is:

A  = (1/2)*(10 yd)*(9 yd) = 45 yd^2

Also, we can see that the bottom face has a base of 9 yards and a height of 7.8 yards, then its area is:

A' = (1/2)*(9 yd)*(7.8 yd) = 35.1 yd^2

So the total surface area of the pyramid is:

S = 3*A + A' = 3*45 yd^2 + 35.1 yd^2 = 170.1 yd^2

If you want to learn more about pyramids, you can read:

https://brainly.com/question/10042135

Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Answers

Answer:1/8

Step-by-step explanation:

well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8

What is the solution to −x≥−5

Answers

Answer:

x≤5

Step-by-step explanation:

When multiplying an inequality by a negative number, make sure to reverse the inequality signs. If -x has to be greater or equal to -5, then x has to be lesser or equal to 5

For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x+10x
O 17 + x
10x - 7x
0 17x
(b) 2(1 + 8y)
0 2 +1.2 + 8y
0 2 +16y
02.1+28y
2+8y
Ugh I can’t figure them all out please help me

Answers

For (a), it would be the first one and the last one, since all of the factors are terms with variables attached and cannot be disconnected from one another.

For (b), it would be the second one since you have to use distributive property, and when the 2 is multiplied by the 8, there has to be a 16 in the mix somewhere.

Hope this helps!

Please help me if you know, I would appreciate if you could explain how to do this!

In the figure, the area of the shaded region is 299π cm²
What are the exact areas of the inner and outer circles?
Also, the answers need to be in cm^2

Answers

Answer:

See answers below

Step-by-step explanation:

Entire outer circle area = pi r^2   = pi 18^2 =  324 pi cm^2

   if you subtract the small unshaded circle you get 299 pi

    324 pi  - smaller circle = 299 pi

      smaller circle = 25 pi  cm^2

         

What is 1/4 plus 1/2 equal to in a fraction

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]

The sketch below shows a company's plans for a new billboard advertisement.
15 ft
21 ft
If the area of the billboard is 144 ft?, what is the height?

Answers

Answer:

8ft

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Helppp!!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals




degrees

Answers

68 degrees

The Isosceles triangle has two angles of 56 and one angle of 68.

Answer:

68

Step-by-step explanation:

Khan

What is the Length of the side LM?

Answers

Answer: 12

Step-by-step explanation:

what is 100 - 100 -10 equal it does not equal -10 though that answer is wrong

Answers

Hey there!

100 - 100 - 10

= 0 - 10

START at 0 and go UP 10 spaces

= -10


Thus, yes it does equal to -10


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
Please help

Answers

Check the picture below.

so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.

[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]

Simplify (x + y)² - (x - y)² + 2xy - 3x²​

Answers

Answer:

[tex]\huge\boxed{\sf 6xy-3x^2}[/tex]

Step-by-step explanation:

Given Expression:

(x + y)² - (x - y)² + 2xy - 3x²​

Formulas used:

[tex](x+y)^2=x^2+2xy+y^2[/tex][tex](x-y)^2=x^2-2xy+y^2[/tex]

Expand the above expression according to the formulas

[tex]=x^2+2xy+y^2-(x^2-2xy+y^2)+2xy-3x^2\\\\= x^2+2xy+y^2-x^2+2xy-y^2+2xy-3x^2\\\\cancel \ out \ x^2 \ and \ y^2\\\\= 2xy+2xy+2xy-3x^2\\\\= 6xy-3x^2\\\\\rule[225]{225}{2}[/tex]

Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.

Answers

Answer:

Angle x measures 33.5 degrees.

Step-by-step explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

[tex]x+23+x=90[/tex]

By collecting similar terms the equation which represents a relation between these angles is:

[tex]2x+23=90[/tex]

Now, by subtracting 23 to both sides, we obtain:

[tex]2x=90-23\\2x=67[/tex]

and by dividing both sides by 2, we get

[tex]x=\frac{67}{2}[/tex]

[tex]x=33.5\\[/tex]

Then angle x measures 33.5 degrees.

A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0. 10.


The power of this test to reject the null hypothesis if p = 0. 19 is 0. 79 using a significance level of α = 0. 5. What are two ways to increase the power of this test?


Increase the sample size and increase the significance level.

Decrease the sample size and decrease the significance level.

Decrease the sample size and leave the significance level as is.

Leave the sample size as is and decrease the significance level

Answers

The two ways which can be used to increase the power of this test is to: A. increase the sample size and increase the significance level.

What is power?

In Statistics, power can be defined as the probability that a deviation from the null hypothesis would be detected by a test of significance, if such a deviation exist.

This ultimately implies that, the statistical power of a hypothesis test refers to the probability of correctly rejecting the null hypothesis provided it is false.

In this cenario, the two ways which can be used to increase the power of this test is by increasing the sample size and increasing the significance level.

Read more on null hypothesis here: https://brainly.com/question/14913351

#SPJ1

Answer: A

Step-by-step explanation:

edge

What is the surface area of this rectangular prism below?

Answers

Answer:

230

Step-by-step explanation:

SA=2(lw+hw+lh), where

l=length

h=height

w=width

2(5*5+9*5+5*9) = 230

Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.

Answers

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

The given quadratic equation is:

[tex]-x^{2} +3x+c=0[/tex]

What is a quadratic equation?

Any equation is called a quadratic equation if it has a form [tex]ax^{2} +bx+c=0[/tex] and a≠0.

For no real solution, the discriminant of a quadratic equation should be less than zero.

[tex]D < 0[/tex]

[tex]3^{2} -4(-1)(c) < 0[/tex]

[tex]9+4c < 0[/tex]

[tex]c < \frac{-9}{4}[/tex]

The quadratic equation –x2+3x+c =0 does not have any real solution for c<-9/4.

To get more about quadratic equations visit:

brainly.com/question/1214333

Answer:

–5 and -9/2 or the first and second options

Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pay 7% sales tax on any purchase, how many dollars would Monica have saved by waiting to buy the sweater on sale?

A. $12.84

B. $12.00

C. $2.52

D. $0.84

Answers

Answer:

A  $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax.  $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00.  $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1

Answers

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5


Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

A town is more than 300 feet below sea level. Sea level has an elevation of 0 feet. What is one possible elevation, in feet, of the town?

Answers

Answer:

301+

Step-by-step explanation:

The answer can be anything above 300. This means the answer could be 301, or 400, or 350000000000, any of those are correct.

pls help can someone play help me giving 21 points

Answers

Answer:

42

Step-by-step explanation:

6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.

Find the DIAMETER of a circle for the circumference given.
circumference = 34.6 m
A) 2.3 m
C) 11 m
B) 5.5 m
D) 6.5 m

Answers

Step-by-step explanation:

2 pi r = 34.6

2 r = 34.6/3.14

d = 11 m

Diameter be d

Circumference=πdπd=34.6d=34.6/πd=11m

Which expression is equivalent to (x^1/4y^16) ^1/2

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

The functions it f and g are defined for all real values of x by f(x)=x^2+4ax+a^2 and g(x)=4x-2a where a is a positive constant. Given that fg(3)=69 find the value of a and hence find the value of x such that g^-1(x) =x

Answers

Answer:

Below in bold.

Step-by-step explanation:

We find fg(x) by replacing the x in f(x) by g(x), so:

fg(x) = (4x - 2a)^2 + 4a(4x - 2a) + a^2

fg(3) = 89 so:

(4(3) - 2a)^2 + 4a(4(3) - 2a) + a^2 = 69

(12 - 2a)^2 + 48a - 8a^2 + a^2 - 69 = 0

144 - 48a + 4a^2 + 48a - 8a^2 + a^2 - 69 = 0

-3a^2  + 75 = 0

-3a^2  = -75

a^2 = 25

a = 5.

Now g(x) = 4x - 2(5) = 4x - 10.

Finding g-1(x);

4x = g(x) + 10

x = (g(x) + 10)/4

So g-1(x) = (x + 10)/4

When g-1(x)= x

x = (x +10)/4

4x = x + 10

3x = 10

x = 10/3.

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Take the info given
perimeter formula… P = 2L + 2W
so…
30 = 2L + 2W
and L is twice the width
so…
L = 2W

substitute L for 2W and solve for W
2W + 2(2W) = 30
2W +4W = 30
6W = 30
W = 5
If L is twice as long as W (L = 2W) then
L = 10

the area formula.. A = L * W
so
A = 10 * 5

The area of the rectangle is 50cm^2
or 50 square centimeters



A taxi charges $2.25 for the initial mile and then 30 cents per each 1/4 mile. If the total charge was $11.00, how far did the taxi travel for that fare?

Answers

Answer:

8.29 miles

Step-by-step explanation:

1 mile= 4*1/4=0.30*4=1.20

11=2.25+1.20(m-1)

8.75=1.20(m-1)

7.29=m-1

8.29=m

Other Questions
Scott received a score of 91, 85, and 89 on three tests. What score must Scott get on the fourth test to have an overall average score of 90 They will choose the design team on 2 April. (change this into passive voice) Maribel factored y2 30y + 81 as (y9)2 . Was she right or wrong? How do you know? Sedimentary rocks often have porosities of up to 30%. When the pore spaces are filled with ______, the downward force on the slope increases, which can lead to slope failure. Which of the following are examples of engineering controls? Select all that apply.Steps for removing used medical exam glovesWashing stationsBiohazard waste containersSpill clean up kitsSharps containers please find the area of the shaded region What is the area of a parallelogram with a base of 26 m and a height of 18 m? What does sound travel through? Carlos says that 17.43 divided by 100 is the same as 174.3 times 0.01. Is he correct? Madeline, age 45, was not feeling happy in her career where she programmed computers. When she sat down to take stock of things, she realized that what she really wanted to do was find fulfillment in working with the homeless. According to Erik Erikson, this change may help Madeline achieve a sense of _____. What is the name of the Angle Jacob wrestled with in the bible plagerism COMPARISON OF PRIMARY AND SECONDARY RESEARCHPrimary research is the first research that is involved in collecting data. The primary researcher assembles first-hand information to form the basis of systematic analysis, rather than utilizing available data. Generally speaking, research is largely based upon specific needs, which often necessitates a large number of highly qualified individuals. Because of this, this type of research gives the researcher full control of the data, making it extremely useful in fast-paced environments. This is why many companies outsource market research to third parties. Unlike secondary research, primary research grants the investigator 100% control over the study data, which makes it extremely valuable." In secondary research, the secondary researcher does not have to gather first-hand information. In addition, research helps avoid knowledge repetition by mapping out previous research efforts, allowing the original researcher to concentrate on new areas of inquiry. On the other hand, research builds upon already gathered data to develop a systematized investigation. This implies that data is not actively collected by the researcher. In secondary research, the researcher does not acquire secondary data, so he or she cannot confirm the accuracy of the research materials. Secondary research can be accomplished relatively quickly and with few resources because the study data already exists unlike primary research, which is time-consuming and expensive. i need help pleaseeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!! Select the correct answer. which phrase best completes this sentence? al facturar las maletas recibimos ____________ para subir al avin. a. las llaves del auto b. pasaje del avion c. tarjeta de embarque d. pasaje electonico Programs designed to create a workplace that enhances employee well-being are referred to as ________ programs. A shipping box has a width of 6 inches, a length of 10 inches, and a height of 7 inches. What is the volume of the shipping box? CAN SOMEBODY EXPLAIN THE EQUATION TO ME PLEASE 4 . 7 p - 10 p =Answer please !! Wrong answer will get you reported ! Chloe looked at the data below and said, "The median is 37." Which answer points out Chloe'smistake?38, 42, 51, 55, 37, 57, 34, 44, 56A. Chloe should have added the numbers and divided by 9.The median is 46.B. Chloe did not make a mistake; the median is 37.C. Chloe forgot to arrange the numbers in ascending order. The median is 44.D. The median is the number which appears the most; there is no median. Multiply: (x3)(x 4) simplify and write your answer in standard form. hint standard form: ax2 bx c