how to unfoil quickly try not to use a lot of steps.

Answers

Answer 1

regroup; (x³+4x²)-(9x+36)
take out: x²(x+4)-9(x+4)
take out (x+4): (x+4)(x²-9)
factor again: (x+4)(x+3)(x-3)

Answer 2

Final answer:

To unfoil quickly, use the reverse foil method. Identify the first and last terms of each binomial, multiply them, and rewrite the middle term as the sum of the products. Example: (x + 2)(x - 3) = x^2 + 2x - 3x - 6.

Explanation:

To unfoil quickly, you can use a shortcut called the reverse foil method. Reverse foil allows you to quickly determine the original factors of a quadratic expression that has been expanded using the distributive property. Let's say we have the expression (x + 2)(x - 3) and we want to unfoil it. Start by identifying the first term of each binomial, which in this case is x from (x + 2) and x from (x - 3). Multiply these two terms together to get x^2. Then, identify the last term of each binomial, which is 2 from (x + 2) and -3 from (x - 3). Multiply these two terms together to get -6. Finally, rewrite the middle term of the expanded expression as the sum of the two products obtained: (x^2 + 2x - 3x - 6). In this way, you can unfoil the expression quickly and identify the original factors without having to expand it fully.

Related Questions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.

Answers

Fists we are going to sketch our cardboard sheet; since the length and the width are equal, we know that our figure will be a square in which each side will be 6 foot long. Now, we need to cut an equal size square form each corner, but we don't now how long the lengths of the square will be, so we are going to assign the variable [tex]x[/tex] to each sides of our square as you can see in the picture.

Final answer:

Arnold creates an open box by cutting squares of size x from each corner of a 6x6 feet cardboard sheet and folding up the flaps, resulting in a box with a base of (6 - 2x) by (6 - 2x) feet and height x feet.

Explanation:

To create an open box from a 6 foot by 6 foot sheet of cardboard, Arnold needs to cut squares of equal size from each corner. To represent this action, consider a square of x feet being cut out from each corner. The new dimensions of the cardboard, once the squares are removed, will measure (6 - 2x) feet by (6 - 2x) feet, with x representing the length of each side of the square cut-outs.

When Arnold folds the flaps up to form the sides of the box, the dimensions of the base will be (6 - 2x) feet by (6 - 2x) feet, and the height of the box will be x feet. The largest size for x is 3 feet, but that would result in no base for the box at all, so x must be less than 3 feet. The volume of the box can be calculated as V = x(6 - 2x)2. To maximize the volume, Arnold could use calculus to find the maximum value for V based on x within the range of 0 to 3 feet.

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in the given figure triangle PQR is a right angle triangle with angle Q is equal to 19 degree of QRST is a square on the side QR and PRMN is a square on the side PR of the triangle prove that PS is equal to QM

Answers

is there a graph or coordinate plane ???

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

Answers

The possible length of side XZ could be 50 mm

Which could be the length of side XZ?

From the question, we have the following parameters that can be used in our computation:

The length of side XY = 29 mmThe length of side YZ = 43 mm

Using the triangle inequality theorem, we have

Smallest length of XZ = 43 - 29

Smallest length of XZ = 14

Largest length of XZ = 43 + 29

Largest length of XZ = 72

So, we have

Range: 14 < x < 17

This means that the length of side XZ could be 50 mm because 50 is in the range 14 < x < 17

Question

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

10 mm

89 mm

50 mm

3 mm

give all of the possible numbers that could be hals mystery one-digit number

Answers

Mystery one-digit number
Well... all of the possible numbers must have only one digit
1, 2, 3, 4, 5, 6, 7, 8, 9, 0 are all possible numbers.

Hope this helps

Is the function represented by the table non-linear?

X / Y
-----------
6 / 4
7 / 2
8 / 0
9 / -2

Answers

It is linear because it is constant

4:08 - 1:15 =
WITH REGROUPING

Answers

Answer:

excuse me what, what is the question

Step-by-step explanation:

while hiking on the grand canyon you realize your elevation is 2,400 ft. Is this elevation below sea level?

Answers

No, because it rises up to 9000 ft above sea level

Terrance has one fewer sibling than Casey. Kolbie has three more siblings than Terrance

Answers

if Terrance has x siblings then Casey has x+1silblings and Kolbie has x+3siblings. what are you trying to solve??

Final answer:

By setting up simple equations based on the given statements, we can determine the relative number of siblings that Terrance, Casey, and Kolbie have.

Explanation:

Based on the provided statements, we can set up a system of simple algebraic equations to solve for the number of siblings each person has. Let's assume Casey has C siblings. According to the given information:

Terrance has one fewer sibling than Casey, which can be represented as T = C - 1.

Kolbie has three more siblings than Terrance, which can be represented as K = T + 3.

Therefore, Kolbie's equation becomes K = (C - 1) + 3 or K = C + 2 after simplifying. Through these relationships, we can understand the relative number of siblings each individual has.

Describe a real-world situation that the graph could represent

Answers

You could say one person is at 1:5 and say they moved up and up

three sets of a sum of a number and four are added to the sum of 7 times the same number and 13

Answers

Let
x--------------> a number

we know that
three sets of a sum of a number and four----------> 3(x+4)
the sum of 7 times the same number and 13--------> 7x+13

therefore

(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]

[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15

the answer is 10x+15

i need to know what the variable of x is please explain

Answers

The answer is: x = 36

i think its x=36 hope this explains it

What do ranges compare

Answers

Answer: A range compares the highest and lowest value in a data set.

Range compares the spread of the data.

The dot plot shows the number of visitors. Determine the median of the data set.

A) 56 B) 61 C) 62 D) 68

Answers

Answer: C) 62

Step-by-step explanation:

Median is the middle value of a sorted (in an order) data.

Total number of dots n=15 (odd)

Median = value denoted by middle number

i.e . Median = [tex]\dfrac{n+1}{2}^{th}\text{term}[/tex]

i.e . Median = [tex]\dfrac{15+1}{2}^{th}\text{term}[/tex]

i.e . Median = [tex]8^{th}\text{term}[/tex]

i.e. Median= Value denoted by 8th dot = 62

Hence, the median of the data set. = 62

Hence, the correct option is C) 62.

Answer:

c)61

Step-by-step explanation:

One side of a regular pentagon measures 0.78 centimeters. What is the perimeter of the pentagon in centimeters?

Answers

3.9 centimeters is the perimeter

amy has 30 grams of flour. she puts 4 grams of flour in each pot of chowder that she make. she puts 5 grams of flour in each pot of potato soup that she makes. she makes 4 pots of chowder. does amy have enough flour left over to makes 3 pots of potato soup.

Answers

No because if she has 30 grams of flower, 16 are being used by the chowder. She would only have 14 grams of flour left and she would need 15 for 3 pots of potato.

After using 16 grams of flour to make 4 pots of chowder, Amy has only 14 grams of flour left, which is not enough to make 3 pots of potato soup, each requiring 5 grams of flour.

To solve this problem, we need to calculate the total amount of flour Amy uses for the chowder. Since she makes 4 pots of chowder, she would need:

4 pots × 4 grams/pot = 16 grams of flour

After making the chowder, Amy would have 30 grams - 16 grams = 14 grams of flour left.

Amy wants to make 3 pots of potato soup, and each pot requires 5 grams of flour. Therefore, she would need:

3 pots × 5 grams/pot = 15 grams of flour for the potato soup

Since Amy has only 14 grams of flour remaining, she does not have enough flour to make 3 pots of potato soup.

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the bestestimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

3 ft/s * (3600 s/h) * (1 mi)/(5280 ft) = 45/22 mi/h ≈ 2.045 mi/h

Morris's speed is about 50 mi/h -2.045 mi/h = 47.955 mi/h ≈ 48 mi/h

The 4th selection is appropriate.

Answer:

Step-by-step explanation:

The ordered pairs (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15) represent a function. What is a rule that represents this function? a: y=x^3 b: y= 3^x c: y=3x d: y= x+3

Answers

In case you don't know your times-3 numbers well enough to recognize the answer right away, you can check the second data point.
.. a. 2^3 = 8 ≠ 6
.. b. 3^2 = 9 ≠ 6
.. c. 3*2 = 6
.. d. 2 +3 = 5 ≠ 6

Only selection C makes sense.

Answer: option c: y = 3x

Justification:

All the ordered pairs meet that the second number of the pair equal 3 times the first number of the pair:

Here is the proof:

Pair         first number times 3   second number of the pair

(1, 3)         3 * 1 = 3                         3   => check

(2,6)          2 * 3 = 6                         6   => check

(3,9)          3 * 3 = 9                         9   => check

(4,12)        3 * 4 = 12                      12 => check

(5, 15)       3 * 5 = 15                      15 => check.

So, all the pairs meet the rule y = 3x

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

A. Five of Janine's friends are selected and asked for whom they intend to vote.

B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

Answers

A and D are the most biased answers. Your welcome.

What is the best estimate for the sum of 3/8 and 1/12

Answers

you should estimate it to 7/8

We can use the bench marks for fractions which are 0, 1/2, and 1 . We need to figure out what benchmark 3/8 is closest to which is 1/2 or we can say 4/8 to make it more easier. Now we can look at 1/12 . 1/12 is closer to 0. If we’re looking for the sum, we need to add 1/2 with 0. 1/2+0= 1/2. 1/2 is your answer.

Betty saves 3 times as much as Ann. Charles saves 390 less than Ann. If Betty saves 1,330 more than Charles, how much does Charles save

Answers

To answer this, I set up a system of equations for each sentence mentioned (B=3A for Betty, A - 390 for Ann, and B = (A - 390) + 1330 to show the relationship between Betty and Charles's amounts. The way to answer this is to replace the B with the 3A that represents Betty's amount. This creates 3A= (A-390) + 1330. By having only one variable you can then solve the equation to find Ann's amount. If you know Ann's amount, you can figure out Charles' amount. To solve the equation add 1330 and -390 which is the same as subtracting 390 from 1330. This leaves you with 3A= A + 940. Subtract 1A from both sides, to leave you with 2A = 940. Solve for a by dividing both sides by 2. This leaves you with A= 470. Take this value of a and substitute it in to Charles's equation which is C = A - 390. 470 - 390 equals 80. This is Charles' amount saved.

three friends go to the local farmers market. latasha spends $3.35. helen spends 4 times as much as latasha. Dee spends $7.50 more than helen. how much does Dee spend?

Answers

3.35 times 4 is 13.40 and then you add 7.50 more to 13.40 which gives you 20.90 which is how much dee spent

Please Help Me:
In which number is the value of the 9 ten times the value of the 9 in the number 920?

A. 509,000

B. 7,190

C. 8,900

D. 293,000

thank you!

Answers

Answer:

509,000

Step-by-step explanation:

The problem said that the 9 is ten times so when it said that the 920 is an example it actually mean to find that the 9 it gave us we have to find the 9 in the number 920.Here is an equation to help you.

900 x 9=9000.

the number 509,000 has the number 9 in the 1,000 place.

The place value is the value of a digit in a given number.

The number given in the question is 920. The place value of 9 is in the hundreds position.

Hence, The value of 9 is 900

The value of the 9 ten times the value of the 9 in the number 920 is calculated as

9 x 900 = 8900

Option C is the correct option.

Therefore, the value of the 9 ten times the value of the 9 in the number 920 is 8900.

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The strategy we were introduced to says to _________ as the last step before you declare that you have completed the problem. Look back to see whether you solved the problem that was given Check your math Re-read the problem just in case. Use a calculator to double check your work.

Answers

Use a calculator to double check your work.

Solve z3+3z2−25z−75=0 .

Answers

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? 20 mm 30 mm 40 mm 60 mm

Answers

a^2 + b^2 = c^2
c = hypotneuse

give him brainliest :)

btw i didn't know how to spell it lol

DE is a line segment with endpoints D(-5,1) and E(3, 3). What are the coordinates of D’ and E’, the image of DE under a dilation of magnitude 1.5 and a center of dilation at the point (-4,2)?

Answers

First step is to calculate distance between point D and center of dilation:
x= |-4-(-5)| =1
y= |2-1| =1

Now we multiply this distance by the dilation factor
x_distance = 1 * 1.5 = 1.5
y_distance = 1 * 1.5 = 1.5

Now we do same for point E:
x= |-4-3| =7
y= |2-3| =1

Now we multiply this distance by the dilation factor
x_distance = 7 * 1.5 = 10.5
y_distance = 1 * 1.5 = 1.5

Now we need to find coordinates for points D' and E'.
Point D':
x = -4 - 1.5 = -5.5
y = 2 + 1.5 = 3.5
Point E':
x= -4 + 10.5 = 6.5
y= 2 + 1.5 = 3.5

D'(-5.5, 3.5)
E'(6.5,3.5)

Answer:

d= -2, 0

e= 6, 4

Step-by-step explanation:

Doing the same practice right now!!

On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to find experimental probability of sunny days each day for a week in Henderson county.

Answers

We have that the probability to have a sunny day is approximately 75%. Hence, the probability that we have 2 sunny days in a row is 75%* 75% (we are kind of assuming that the weather of a day plays no role on the weather of the next day, which is not completely true). That is because for it to 2 sunny days, both days have to be sunny. It is analogous to a coinflip; the chance we get 2 heads is 50%*50%, the chance we get 3 heads is 50%*50%*50% and so on. Hence, we have that the chance that a week is sunny in the county is 75% to the seventh power. This yields that the chance is around 13.3%

One possible model is:

You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.

Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.

A spinner is divided into equal parts 1-5. George spun the spinner 300 times

Answers

2 and 4 are the only even numbers, so add the two and divide by 300. 66+72 = 138/300 = 23/50 or .46 or 46%

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.

Answers

Where is the list will all of this the list is needed

Car 1 and car 3 have the same speed.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find which cars traveled at the same speed, we need to calculate the speed of each car. We can do this by dividing the distance traveled by the time it took to cover that distance.

For example, car 1 traveled 140 miles in 2 hours, so its speed was:

Speed of Car 1 = Distance of Car 1 / Time of Car 1 = 140/2 = 70 miles per hour.

Similarly, we can calculate the speed of each car using the given data. When we do this, we get:

Speed of Car 1 = 70 mph

Speed of Car 2 = 80 mph

Speed of Car 3 = 70 mph

Speed of Car 4 = 50 mph

We can see that Car 1 and Car 3 traveled at the same speed, which was 70 miles per hour. Therefore, the answer is that Cars 1 and 3 traveled at the same speed.

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The complete question:

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.

Car distance time

1 140 2

2 160 2

3 210 3

4 200 4

!!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

i think the answer should be

2/9 yd2

hope i helped :)

The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

How to calculate the area of the rectangle?

In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width

Here,
From the question,
we have length = 23 yard and width = 13 yards

Area of the rectangle = 23 × 13
= 299 square yards

Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

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Find number atoms in each element? In which situation would a savings account be the best investment to earn interest? Express the complex number in trigonometric form. -5iA) 5(cos 270 + i sin 270)B) 5(cos 180 + i sin 180)C) 5(cos 90 + i sin 90)D) 5(cos 0 + i sin 0) Choose the graph which represents the solution to the inequality. Kim carlton is a new fifth grade teacher. she is surprised to learn that her school has reduced the amount of recess for all students and eliminated time for physical education in the fifth grade curriculum. kim believes that exercise and recess enhance academic performance. based on national trends, why is her school (like many other schools in the u.s.) most likely reducing recess and physical education?a. to avoid the cost of hiring teachers for physical educationb. to reduce risks of accidents on the playground and in physical education classesc. to reduce teacher responsibilities for student behavior on the playground and in physical education activitiesd. to increase academic time in the classroom what fractions are equivalent to 8 over 12 Read the following passage from "In Another Country" by Ernest Hemingway. " The doctor told me that the major's wife, who was very young and whom he had not married until he was definitely invalided out of the war, had died of pneumonia. She had been sick only a few days. No one expected her to die." What is the mood of this passage, with examples from the passage? Imagine you are a counselor treating Jerry, a college student, for depression. Why is medical record confidentiality so important for this patient?A. His files need to be encrypted to satisfy the new privacy standards under the Affordable Care Act.B. An employer might decide not to hire him because of his past, even though he's qualified for the job.C. His insurance company might not pay for treatment, so he wants to keep it a secret.D. Confidentiality helps health care professionals avoid medical mistakes, which occur most frequently with college students. American colonial vulnerability was commonly depicted through images of The predominant intermolecular force in (ch3)2nh is ________. the predominant intermolecular force in (ch3)2nh is ________. london dispersion forces ion-dipole forces hydrogen bonding ionic bonding dipole-dipole forces During the inflammatory phase of diverticulitis treatment includes antibiotics and a diet that is Read the sentence. Hunger compelled him to stop for something to eat. What does compelled mean? o discourage or rejectto prevent or stopto display or showto drive together, or urge Someone help i need help Which explorer "discovered" the Hawaiian Islands? A. Hernan Cortez B. Francisco Pizarro C. James Cook D. Christopher Columbus By connecting two non-intersecting vertices of a regular pentagon, the figure can be split into a triangle and a quadrilateral. Always Sometimes Never Llene is making smoothies.The recipe calls for 1 1/4 cups of strawberries, How many cups of strawberries, written as a fraction greater than one, are used in the recipe? An 80-year-old client with a history of coronary artery disease is admitted to the hospital for observation after a fall. during the night the client has an episode of paroxysmal nocturnal dyspnea. in what position should the nurse place the client to best decrease preload? Dora has agreed to go skydiving with her boyfriend to help him celebrate his 30th birthday, but she is absolutely terrified to do so. the morning of the big jump she wakes up and reports that she cannot feel or move her feet. she is upset by this, and her boyfriend takes her to the hospital. doctors in the emergency room cannot find anything physically wrong with her. after the time for the sky-dive has passed, dora's feeling of her feet seems to return without explanation. this could be an example of ________ . helppppppppppppppppppppppppppppppp Select all of the terms that apply to the shape.pentagonhexagonheptagonoctagonnonagondecagonregular polygonirregular polygonconcaveconvex