[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!
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.
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 timeA linear equation is represented as:
y = mx + b
Where:
m represents the slopeb represents the y-interceptBy 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:
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I need help first answer gets brainliest
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
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.
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:
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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
Answer:
its 15 <3
Step-by-step explanation:
i did the quiz.
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.
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:
solve for x.
x/2 + 6 = 24
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:)
CAN SOMEONE PLEASE HELP ME ITS DUE TODAY
[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
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.
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 monthThe 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:
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Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).
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
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 :)
HELPPPP URGNT!!!!!!!
PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS
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
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
Answer:
A is the answer
// x = -2(y + 3)2-1
What is 9 5/9-2 5/27?
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
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.
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:
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prove that :
opposite side of parallelogram are equal
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
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
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
Answer:
yes
Step-by-step explanation:
yes
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.
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.
Need help with this pls
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
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?
Answer:
2100
Step-by-step explanation:
Adjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[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 - VerticalEBA and ABC - AdjacentUse 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
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.
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?
Answer:
10.68
Step-by-step explanation:
3.1+1.35=4.45 4.45×2.4=10.68
please answer fast this answer with image
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
In the adjoining figure triangle PQR is similar to triangle PMN , PM= 2MQ And PN = 2NR . Determine ratio of MN/QR
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:
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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
Angle of elevation would be 66 degrees
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.
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:
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?
Answer:
14.875
Step-by-step explanation:
hope it helped
please please me please
Answer:
3
Step-by-step explanation:
it is 3 because if the x value is 5 then the y value is 3