What is the correct factorization of:
x? - 11x + 18

Answers

Answer 1

9514 1404 393

Answer:

  x² -11x +18 = (x -9)(x -2)

Step-by-step explanation:

The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.

  18 = (-1)(-18) = (-2)(-9) = (-3)(-6)

The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...

  x² -11x +18 = (x -9)(x -2)


Related Questions

tan39= x/68
Plz help. Will give brainliet

Answers

Answer:

x = 55.06531425, or 55

Step-by-step explanation:

(x/68) = tan(39)

Set up your equation and rearrange it.

68 * (x/68) = 68 * tan(39)

On the left side, with 68 * (x/68), the 68's cancel out and leave us with x.On the right side, with 68 * tan(39), we need to first solve for tan(39) and multiply it by 68. Continuing the right side, tan(39), when using a calculator, is 0.8097840332 (make sure your calculator is in degree mode), and when this is multiplied by 68, this makes 55.06531425.

x = 55.06531425, or 55

Solve for x!

Answer:

[tex]\huge\boxed{x \approx 55}[/tex]

Step-by-step explanation:

We need to note that this is an equation, in which we can solve for x.

[tex]tan(39) = \frac{x}{68}[/tex]

We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.

We now have the formula simplified down to [tex]0.81 = \frac{x}{68}[/tex]. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.

We know have [tex]0.81 \cdot 68 = x[/tex]

[tex]0.81 \cdot 68 = 55.08 \approx 55[/tex], so x is approximately 55.

Hope this helped!

During the summer you want to read at least 32 books. You have read 21 books so far this summer . What are the possible nurabers of books you can read to pass your goal ?

Answers

Answer:

you need to read 11 or more books to pass your goal

Step-by-step explanation:

The perimeter of a triangle is 25 cm. The first side is 3 cm longer than the second side. The third side is triple the length of the first side. Find the length of each side.​

Answers

Answer:

1st Side: 5.6 cm

2nd Side: 2.6 cm

3rd Side: 16.8

Step-by-step explanation:

Help on these!!! Please

Answers

Answer:

132km

54km

Step-by-step explanation:

the formula to find the volume of a rectanguar prism;

V = L x W x H

Length times with times height

formula for a triangular prism;

V= 1/2 x B x H x L

recheck them both just in case I did them in a rush

*PLEASEE HELP ME ITS REALLY URGENT* Look .. if you have alot of boys texting you and you dont like most of them but they calling you cute and stuff but you dont want to hurt their feelings which you know you would if you say no but you have a boyfriend how would you go about that situation when you tell a boy you want to be his friend and you have the same classes together but blocked you for being real with him ?

Answers

Answer:

Just say no thanks i have a bf

Step-by-step explanation:

The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth.

PLZ HELP ASAP !!!!!!!!!!!!!!!!11











HELP WILL MARK BRAINLIST

Answers

Answer:

251 ounces per gallon

Step-by-step explanation:

Delta Math

The density of a material 4 kg/cup on converting it into pounds per liter will be 37.2 lbs/lt.

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here it is given that, the density d of a certain material is 4 kilograms per cup of volume and it is find the density of material in pounds per liter.

Now it is known that,

1 kg equals 2.2 pounds

and, 1 cup of volume equals 0.237 lt.

converting the density d of material in pounds per liter and Rounding it to the nearest tenth :

[tex]\begin{aligned}d&= 4\:\frac{\text{kg}}{\text{cup}}\\&=\:\frac{4\cdot2.2\text{ pounds}}{0.237\:\text{lt.}}\\&\approx 37.2\:\frac{\text{ pounds}}{\:\text{lt.}}\end{aligned}[/tex]

Therefore, the density of a material 4 kg/cup on converting it into pounds per liter will be 37.2 lbs/lt.

Read more about SI units at:

https://brainly.com/question/12750330

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which points below are shown on the line given by the equation y=×-5​

Answers

Answer:

d

Step-by-step explanation:

because that's the answer

What is the slope of the equation y-
5=-X?

Answers

Answer:

-1

Step-by-step explanation:

y-5 =-x

change it to y=mx+b form

y= -x+5 (m is slope = -1)

-1 is your slope

Billy started a lawn mowing business and had to take out a $650 loan to buy all the supplies. The first month he made a profit of $600 and then the next two months he records a profit of $-75, and the last two months he made a profit each month of $150. What is the total profit of Billy’s business so far?

Answers

Answer:

25

Step-by-step explanation:

He's already out of 50 bucks, because he didn't profit enough for his loan. So now we have -50, then in the next 2 months he records a profit of -75. We add that onto -50, to make -125. Then he makes 150 in profit so that's good good job Billy, -125+150=25. I hope this is right LOL

7/6 divided by 8 write in simplest form

Answers

Answer:  the  answer  is  7/48

Step-by-step explanation:

The simplest form of the division is 7/48.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, [tex]a \div b = a[/tex] divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

We have to write in simplest form

7/6 divided by 8

[tex]7/6 \div 8 \\\\= \dfrac{7}{6} \times \dfrac{1}{8}\\\\= \dfrac{7}{48}[/tex]

Learn more about division here:

https://brainly.com/question/26411682

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What is the missing word in this word pattern?
kitten, cow, calf, dog, puppy
O A. dog
O B. lamb
C. cat
D. horse

Answers

Cat????? I dunno maybe
Hi there! The answer would be:

Cat.

Explanation:
The answer would be “cat” because in the words given, it has 2 words for each animal, one of an adult animal, and the other word of a baby animal. So, we are missing the word of a grown kitten, which is “Cat!”

Hope this helps !!

4.
Linda's Video Store sold three times as many
Titanic tapes as Godzilla tapes. The price of a
Titanic tape is $20 and the price of a Godzilla
tape is $15. If her total sales for these tapes was
$2250, what is the total number of cach video that
she sold?

Answers

Answer:

T=90 G=30

Step-by-step explanation:

T=3G

20T+15G=2250

20(3G)+15G=2250

60G+15G=2250

75G=2250

Divide by 75

G=30

T=90 3(30)

Okay wow I get it now thanks

Baba Booey


............................

Answers

Answer:

from howerd stern show i see

Step-by-step explanation:

man of culture

do u know the way BABA BOOEY u mom is bingus lol no skin AMOGUS 3AM OMG CANDYLAND IRL HELP PLEASE YES YES YES HOW! COLD BABY VS HOT BABY 3AM IRL

David borrows $15,000 for a new car. He is charged 6% simple interest per year. If he paid $4500 in interest, how many years did it take him to repay the loan?

Answers

Answer:

5 years

Step-by-step explanation:

Given that:

Amount borrowed = principal = p = $15000

Interest % per year = r = 6% = 0?06

Total Interest paid = $4500

Number of years it took to repay the loan (t) =?

Simple interest = (p * r * t)

4500 = (15000 * 0.06 * t)

4500 = 900t

4500 / 900 = t

5 = t

It tool 5 years to repay the loan

I’m having a hard time with this

Answers

A, because if you graph them A is the only one where you get all of the order pairs. Or if you plug in the X values for X you will get all the Y values.

Explain how to solve 3x+4=19

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 4 = 19

    -4.      -4

3x = 15

divide both sides by 3 to solve for x

x = 5

Apply the distributive property to factor out the greatest common factor 12 + 80

Answers

Answer:

gcf is 4

Step-by-step explanation:

Answer:

4(3+20)

Step-by-step explanation:

the 4 is the greatest common factor so i pulled it out and divided 12 and 80 to simplify

There are 5 pizzas, 3 breads, and 2 cookies in the restaurant . What is the probability of NOT getting bread

PLEASE, ANSWER NEEDED ASAP

Answers

Answer:

3 out of 10

Step-by-step explanation:

you have to add them all up which  will equal 10 then there are 3 breads so the answer is 3 out of 10

Answer:

The probilites are in the middle its more likely to get 5 pizzas and less likely to get 2 cookies

Step-by-step explanation:

Took the test

Martha states that –6 is a rational number. Which is a correct explanation for this statement?

Answers

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

PLEASEEE HELP FAST

1. During which parts of the graph does Arthur’s distance from home decrease?
2. When is Arthur waiting for bagels? Explain how you know.
3. If Arthur’s pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.

Answers

Answer:

1. During part 2. The y-axis (line going up) represents his distance. At part 1, his distance stays the same because he is sitting in the park. At part 2 we see the line go down, which means his distance from home is decreasing.

2.At part 3. His distance stays the same, which represents him waiting in line. We know this because the line stays at the same distance and the time increases(this is the x-axis)

3. There would be another part of the graph. If he had stopped again, there would have been another straight line with the distance the same and the time increasing.  

Step-by-step explanation:

If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying

Explain how to find the product of 12.2(1.45).

Answers

Answer:

First, multiply the numbers. Then count the number of decimal places in each factor. Place the decimal in the product so the product has the same number of decimal places as both factors combined.

Step-by-step explanation:

Did it on Edg.2020

Answer: First, multiply 12.2 times 1.45. Next, you start by multiplying the ones, then the tens, and then the hundreds. Next, you add the partial products. then you count the number of digits to the right of the original problem. Then you move the decimal the same number of digits to the left in the product.

-2 divided -0.25
4 divided 0.5

Answers

Answer:

-2/-0.25=8

4/0.5=8

Step-by-step explanation:

both of their answers are 8

- 2 divided by -0.25
4 divided by 0.5
Both of them equal 8

a 90° angle cannot be assumed without specific Mark in the figure

true or false ​

Answers

Answer: i say its false

Step-by-step explanation:

PLEASSE HELPP Match the correct graph to the story below.
A bunny rabbit has a baby bunny. A month later, each bunny has another bunny. A month later, each bunny has another bunny, etc.
x = the number of months that have passed.

y = total number bunnies.

Answers

Answer:

x- none cause bunnies live for a year or two

Step-by-step explanation:

y- 4 cause it said only one bunny so 1 each month

Answer:

x- none cause bunnies live for a year or two

Step-by-step explanation:

y- 4 cause it said only one bunny so 1 each month

On January 1, 2021, Tropical Paradise borrows $50,000 by agreeing to a 6%, six-year note with the bank. The funds will be used to purchase a new BMW convertible for use in promoting resort properties to potential customers. Loan payments of $828.64 are due at the end of each month with the first installment due on January 31, 2021.

Answers

Answer:

On 01 January 2021: Debit Cash for $50,000; and Credit Note payable for $50,000.

On 31 Jan 2021: Debit Interest expense for $250; Debit Note payable for $578.64; and Credit Cash for $828.64.

On 28 Feb 2021: Debit Interest expense for $247.11; Debit Note payable for $581.53; Credit Cash for $828.64.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

On January 1, 2021, Tropical Paradise borrows $50,000 by agreeing to a 6%, six-year note with the bank. The funds will be used to purchase a new BMW convertible for use in promoting resort properties to potential customers. Loan payments of $828.64 are due at the end of each month with the first installment due on January 31, 2021.

Record the issuance of the installment note payable and the first two monthly payments.

The explanation to the answer is now given as follows:

Date                Account Title                     Dr ($)                 CR ($)        

01 Jan 2021    Cash                                  50,000

                          Note payable                                            50,000

                        (To record $50,000 borrowing through 6% Note from the bank.)

31 Jan 2021     Interest expense (w.1)        250

                         Note payable (w.2)            578.64

                            Cash                                                         828.64

                          (To record first month interest expense paid and part payment of $50,000 note.)

28 Feb 2021    Interest expense (w.4)       247.11

                         Note payable (w.5)            581.53

                             Cash                                                        828.64

                          (To record second month interest expense paid and part payment of $50,000 note.)

Workings:

w.1: Interest expense = First month interest expense = (Interest rate / 12) * Loan amount = (6% / 12) *$50,000 = $250

w.2: Note payable = First month part payment of note payable principal = Monthly payment - First month interest expense = $828.64 - $250 = $578.64

w.3: Loan balance after first month = Loan amount - First month part payment of note payable principal = $50,000 - $578.64 = $49,421.36

w.4: Interest expense = Second month interest expense = (Interest rate / 12) * Loan balance after first month = (6% / 12) *$49,421.36 = $247.11

w.5: Note payable = Second month part payment of note payable principal = Monthly payment - Second month interest expense = $828.64 - $247.11 = $581.53


The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Answers

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

[tex](x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20[/tex]

Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.

----------------------

The two consecutive even integers are: n and n + 2.The difference of the squares is given by:

[tex]D_s = (n+2)^2 - n^2[/tex]

Expanding the difference:

[tex]D_s = n^2 + 4n + 4 - n^2[/tex]

[tex]D_s = 4n + 4[/tex]

----------------------

The difference is 84, thus:

[tex]D_s = 84[/tex]

Now, we solve for n.

[tex]4n + 4 = 84[/tex]

[tex]4n = 80[/tex]

[tex]n = \frac{80}{4}[/tex]

[tex]n = 20[/tex]

----------------------

Thus, the numbers are: [tex]n = 20[/tex] and [tex]n + 2 = 20 + 2 = 22[/tex]

A similar problem is given at https://brainly.com/question/5453470

5x-25<-15? i am stuck on this

Answers

Answer:

x < 2

Step-by-step explanation:

1. Isolate x by adding 25 to both sides: 5x < 10

2. Divide both sides by 5: x < 2

What equation may be used to determine the value of x?

Answers

Answer:

y=mx+c

there are so many

depends on the question

Step-by-step explanation:

Loads of equations

uh yeah so this again lol

Answers

Answer:

follow the insructions from the answer before

Step-by-step explanation:

Answer:

y=4x-9

Step-by-step explanation:

Please help I don’t get it show work and I will give you brainliest

Answers

Answer:

wait are you like clicking on answer? or explaning it

Step-by-step explanation:

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