Hello people ~
factorise: : x^2 – 21x + 108​

Answers

Answer 1

[tex]\\ \rm\rightarrowtail x^2-21x+108[/tex]

Use midterm splitation

[tex]\\ \rm\rightarrowtail x^2-12x-9x+108[/tex]

[tex]\\ \rm\rightarrowtail x(x-12)-9(x-12)[/tex]

[tex]\\ \rm\rightarrowtail (x-9)(x-12)[/tex]

Done!


Related Questions

A model of a house is 6 inch wide and 8 inches long. If the actual house is
20 yards long, how wide is the actual house?
OA) 2.4 yd
OB) 4.8 yd
OC) 15 yd
OD 26 yd

Answers

Answer:

its 15 <3

Step-by-step explanation:

i did the quiz.

please answer fast this answer with image​

Answers

Answer:

3/2

use a calculator to try it on your own

do the 1/4 - 4/9 (4/2/3-11/12) first

then times 9/17

then plus 1/1/8

at last divide by 9/16

Question 9 of 10
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1,-3)
O A. x = -2(y + 3)2-1
O B. x= -2(y-3)2-1
O c. x=-264 - 1)2-3
O D. x= -2(y + 1)2-3

Answers

Answer:

A is the answer

// x = -2(y + 3)2-1

Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each
region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each
region and an equal number in each group, while yielding valid conclusions in the study
Type your response in the box.

Answers

Answer:

The method regarding the sampling to pick 200 sales representative is to make 20 groups of 10.

What is sampling?

Sampling simply means a process that's used in statistics where a predetermined number of observations are selected from the larger population.

In this case, the best way for the sales director to include 200 sales representatives, with an equal number from each region is simply to make 20 groups of 10.

Step-by-step explanation: correct on plato:)

Answer:

The best way would be to randomly select 100 reps from the midwest and another random 100 from the northeast, giving you an equal amount from each region and totaling to 200 total, while also giving valid conclusions to the study.

Step-by-step explanation:

Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that most swap meet vendors will not accept credit cards and that she will not have any money until her next payday, Susan decides to take out a $200 cash advance on her credit card at an interest rate of 32%. If Susan had no previous balance on her credit card, and she manages to pay off the balance within 1 month, how much will she have to pay in interest? a. $5. 33 b. $32. 00 c. $173. 33 d. $205. 33 Please select the best answer from the choices provided. A B C D.

Answers

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we're given that:

Amonut Susan took out = $200Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = [tex]\dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)[/tex]

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Learn more about percent here:

https://brainly.com/question/11549320

PLEASE HELP



A shipping container is in the shape of a right rectangular prism with a length of 8. 5

feet, a width of 4 feet, and a height of 7 feet. The container is completely filled with

contents that weigh, on average, 0. 85 pound per cubic foot. What is the weight of the

contents in the container, to the nearest pound?

Answers

Answer:

14.875

Step-by-step explanation:

hope it helped

A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage? 1 US dollar = 0. 9019 Swiss francs 1 Swiss franc = 1. 11 US dollar $975 $1,080 $1,200 $1,440.

Answers

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

Learn more about Units conversion:

https://brainly.com/question/4736731

Miranda is calculating her expected expenses for her week long trip to Turkey. Her flight costs 928 TL (Turkish Lira), her lodging costs 755 TL, and she has allowed 814 TL for food and spending money. What is Miranda’s total? a. 4,762 TL b. 2,497 TL c. 869 TL d. 641 TL.

Answers

The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of these expenses,

Miranda's Total

= cost of flight + lodging costs + cost of food and other spending

= 928 ti + 755 ti + 814 ti

= 2497 ti

Hence, Miranda's total will be equal to 2497 Turkish lira.

Learn more about Addition:

https://brainly.com/question/13167637

please please me please

Answers

Answer:

3

Step-by-step explanation:

it is 3 because if the x value is 5 then the y value is 3

In the adjoining figure triangle PQR is similar to triangle PMN , PM= 2MQ And PN = 2NR . Determine ratio of MN/QR

Answers

The triangles PQR and PMN are similar triangles

The ratio MN/ QR is 2/3

How to detemine the ratio MN/QR?

The question is incomplete, as the figure of the triangles are not given.

So, I will give a general explanation

The given parameters are:

PM= 2MQ

PN = 2NR

Rewrite PM= 2MQ  as:

PM/MQ = 2/1

The equation becomes

PM/(PM + MQ) = 2/(2 + 1)

PM/(PM + MQ) = 2/3

Add PM and MQ

PM/PQ = 2/3

The above means that:

PM/PQ = MN/ QR = 2/3

Hence, the ratio MN/ QR is 2/3

Read more about similar triangles at:

https://brainly.com/question/14285697

prove that :
opposite side of parallelogram are equal​

Answers

Step-by-step explanation:

Given: A parallelogram ABCD with AC as its diagonal

To prove: <A=C & <B=<D

Proof:

Opposite sides of parallelogram is parallel

So, AB || DC and AD || BC.

Since AB || DC

& AC is the transversal

< BAC = < DCA (Alternate angles...(1) )

Since AD || BC & AC is the transversal

<DAC = < BCA (Alternate angles)...(2)

when adding equation 1 and 2

<A=<C

In similar case,

<B=<D

CAN SOMEONE PLEASE HELP ME ITS DUE TODAY

Answers

[tex] \qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

To find Highest common factor (HCF) we have to check what primes are common between them along with their exponent. And multiply them ~

here, we get [ 2³ and 3 as common ]

[tex]\qquad \sf  \dashrightarrow \:HCF = {2}^{3} \times 3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:HCF = {8}^{} \times 3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:HCF = 24[/tex]

So, HCF of the given numbers is 24

Need help with this pls

Answers

Answer:

Answer:

SORRY

Step-by-step explanation:

ANSWER

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

A 30-foot ladder is leaning against an office building. if the base of the ladder is
12 feet away from the base of the building, find the angle of elevation. round to
the nearest degree (whole number). really need this for a test

Answers

Angle of elevation would be 66 degrees

What is 9 5/9-2 5/27?​

Answers

Answer:

[tex]=7\frac{10}{27}[/tex]

Decimal: 7.37

Step-by-step explanation:

[tex]9\frac{5}{9} -2\frac{5}{27} =\frac{81+5}{9} -\frac{54+5}{27} =\frac{86}{9} -\frac{59}{27}[/tex]

[tex]\frac{258}{27} -\frac{59}{27} =\frac{199}{27}[/tex]

[tex]=7\frac{10}{27}[/tex]

Hope this helps

arah walks 3.1 kilometers on Monday and 1.35 kilometers on Tuesday. On Wednesday she walks 2.4 times as far as she walked on the previous two days combined.

How far does Sarah walk on Wednesday?

Answers

Answer:

10.68

Step-by-step explanation:

3.1+1.35=4.45 4.45×2.4=10.68

Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).

Answers

Answer:

[tex]\boxed{\sf{y=2x+7}}[/tex]

Step-by-step explanation:

Use a slope formula and slope-intercept formula.

Slope-intercept formula:

[tex]\sf{y=mx+b}[/tex]

The m represents the slope.

The b represents the y-intercept.

Slope formula:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]

Rewrite the problem down.

[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]

The slope is 2.The y-intercept is 7.

y=2x+7

Therefore, the correct answer is y=2x+7.

I hope this helps you! Let me know if my answer is wrong or not.

3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as
rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM
measures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer to
the nearest tenth.

Please helpp

Answers

Answer:

312.3 feet

Step-by-step explanation:

ML = 18 and KM = 25 so we can put together that JM = 17.35

17.35 x 18 = 312.3 ft

Hope this helps K12 students :)

solve for x.

x/2 + 6 = 24

Answers

Answer:

[tex]\displaystyle 36 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]

I am joyous to assist you at any time.

Hey there!


x/2 + 6 = 24

1/2x + 6 = 24


SUBTRACT 6 to BOTH SIDES

1/2x + 6 - 6 = 24 - 6

CANCEL out/ 6 - 6 because it give you 0

KEEP: 24 - 6 because it help solve for the x-value


NEW EQUATION: 1/2x = 24 - 6


SIMPLIFY IT!


1/2x = 18


MULTPLY 2 to BOTH SIDES

1/2x * 2 = 18 * 2

CANCEL out: 1/2 * 2 because it give you 1

KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)


NEW EQUATION: x = 18 * 2 or x = 2 * 18


SIMPLIFY IT!

x = 36


Therefore, your answer is: x = 36


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLEASE HELP ME I am so confused about what they mean

Plot the point A (2, 3). Then, plot point B that is 4 right and 5 up from point A. 2. Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.

Answers

Answer:

Step-by-step explanation:

1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)

2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).

Answer:

they want you to take what you have (point a and point c) and take the moving places and add it to their respected points

if that doesnt help then...

point A is (2,3)

point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8

point b is (6,8)

point c is (9,7)

point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5

point d (1,5)

Step-by-step explanation:

HELPPPP URGNT!!!!!!!

Answers

The answer is x:8

Solution

Kite formula : 1/2(d1 x d2)

D1=15
D2=x

60=1/2 x15 x x
X=60x2/15
X= 4 x2
X=8

Do you have any doubt?

I need help first answer gets brainliest

Answers

To find which fractions are equal to each other, we must simplify or multiply to both denominator and numerator:

          [tex]\frac{2}{6} =\frac{1*2}{3*2} =\frac{1}{3}*\frac{2}{2}=\frac{1}{3}*1= \frac{1}{3} \\\\\frac{8}{1}=8\\ \\\frac{2}{4} =\frac{1*2}{2*2} =\frac{1}{2}*\frac{2}{2} =\frac{1}{2} *1= \frac{1}{2} =\frac{1}{2}*1 =\frac{1}{2}*\frac{4}{4} =\frac{1*4}{2*4}=\frac{4}{8} \\\\\frac{2}{8} =\frac{1*2}{4*2}=\frac{1}{4}*\frac{2}{2} =\frac{1}{4} *1 =\frac{1}{4} \\\\\frac{4}{4} =1[/tex]

Hope that helps!

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

and 2/8 is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Adjacent --------------------- Vertical




DBC and ABC

ABC and DBE

CBD and EBA

EBA and ABC





put them where they're supposed to go

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

DBC and ABC - Adjacent

ABC and DBE - Vertical

CBD and EBA - Vertical

EBA and ABC - Adjacent

7. A study was done to determine the relationship between a person's screen time and their age.
A group of participants was asked to record their average daily screen time, in minutes, and
their age. The line of best fit for the data had the equation y=-3.2x + 273.4, where x was
the person's age and y was their screen time in minutes. Which of the following is the correct
interpretation based on this model?
For every year a person gets older, their screen time increases by 273.4 minutes.
(2) For every 3.2 years a person gets older, their screen time decreases by one minute.
(3) For every 3.2 years a person gets older, their screen time increases by 273.4 minutes.
(4) For every year a person gets older, their screen time decreases by, 3.2 minutes.
x=age
SC mins= -3.2 laget 273.

Answers

The true statement about the equation of the line of best fit (d) For every year a person gets older, their screen time decreases by 3.2 minutes

How to interpret the line of best fit?

The equation of the line of best fit is given as:

y = -3.2x + 274.4

Where:

x represents the persons agey represents the average daily screen time

A linear equation is represented as:

y = mx + b

Where:

m represents the slopeb represents the y-intercept

By comparison, we have:

m = -3.2 and b = 274.4

This means that:

For every year a person gets older, the average screen time decreases by 3.2 minutes

Hence, the true statement is (d)

Read more about line of best fit at:

https://brainly.com/question/17261411

17. Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first
week he sold some of them for $25 each. The second week he sold the rest for $20 each.
If his total profit was $600, how many shirts did he sell the first week?

Answers

Answer:

2100

Step-by-step explanation:

The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year

Answers

Answer:

16,688 people lived in that town in 2016.

Step-by-step explanation:

10,811 + 7.5% = 11,621.8 = 11,622 (2011)

11,622 + 7.5% = 12,493.6 = 12,494 (2012)

12,494 + 7.5% = 13,431.05 = 13,432 (2013)

13,432 + 7.5% = 14,439.4 = 14,440 (2014)

14,440 + 7.5% = 15,523 (2015)

15,523 + 7.5% = 16,687.225 = 16,688 (2016)

Teachers are being trained to standardize the scores they give students essays. The results are shown in the tables
Calculate the MADs for the teachers scores. Did the teachers make progress in standardizing their scores?
____,(Yes or No) The MAD before the training was ______(MAD for the top chart) and the MAD at the end of the training is _______,(MAD for bottom chart) so _______ (progress or no progress)was made toward standardizing test scores

Answers

Answer:

yes

Step-by-step explanation:

yes

PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS

Answers

Answer:

FIRST ONE IS 300

Step-by-step explanation:

5X8X7.5=300 l x w x h

Answer:

Question A:
Your Answer would be:
C.) 300ft2


5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2


Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

−9
−4
4
6

Answers

Answer: -4

Step-by-step explanation:

Once you graph it, the solutions are where the graph meets the x axis.

This is at -4 and 9.

Pete's Pottery observes the heights of the vases in inventory. The results are represented by the box plot shown below.

Select all of the true statements.

The data recorded must have been for 24 vases.
The box plot also gives data on the heights of mugs in inventory.
The heights are measured in centimeters.
The box plot gives data on the heights of vases in inventory.
There must be between 6 and 12 vases in inventory.
The heights are measured in inches.

Answers

Answer:

The box plot gives data on the heights of vases in inventory.The heights are measured in inches.

Step-by-step explanation:

Given the question and the image, the following are the solution steps to answer the question.

STEP 1: Define box plot.

In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.

STEP 2: Choose the correct statement

The box plot shows the minimum height, maximum height, first and third quartiles, and the median.

Therefore,

The box plot does not show the number of vases recorded

The box plot does not show the heights of mugs, just vases.

The height is measured in inches, not centimeters.

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