Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|

Answers

Answer 1

Answer:

horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward

Step-by-step explanation:


Related Questions

7. Identify the appropriate mixed number for the picture shown.
A. 172
B. 214
C.212
D.3
Mark for review (Will be highlighted on the review page)

7. Identify the appropriate mixed number for the picture shown.A. 172B. 214C.212D.3Mark for review (Will

Answers

Answer:

it's 2 1/2

Step-by-step explanation:

Because 2 box are shade in and the last box is half shade

Are the expressions
5
(
x
+
2
)
+
10
and
5
x
+
12
equivalent, and why?

Answers

Answer:

Yes it is equivalent

Step-by-step explanation:

Simply 5(x+2)+10 and you will get 5x+12

What is 48/25 simplified

Answers

Answer:

exact form - 48/25

decimal form - 1.92

mixed number  - 1 23/25

Step-by-step explanation:

Which expression is equivalent to 12/5x -2 A. 12x-2/5 B. 2(2/5x -1) C. 2/5(6x-10) D. 1/5(12x-10)​

Answers

Answer:

The answer is D.

\( \frac{1}{5}(12x - 10)\)

Someone help me please!!!Divide 100 in the ratio 2:3.​

Answers

Answer:

pirwvjihpwrugh

Step-by-step explanation:

wrhfuwhfuhugfrifhi

Answer:

not possible

Step-by-step explanation:

It can't be possible because the ratio would be 50:1 is possible

I need some help on this

I need some help on this

Answers

Answer:

When we are multiplying the same number, let it be n, m times, what we do is:

\(n^m\), where n is the base and m the exponent.

In this case we have 4 fives, 2 threes, 3 x and 1 y which are being multiplied , so we can convert them to exponents:

4 fives: \(5^4\)

2 threes: \(3^2\)

3 x: \(x^3\)

1 y: y

Then we multiply all: \(5^4*3^2*x^3y\)

anyone can solve this?

\( \sqrt[4] {a}^{3 \:} to \: power\)

Answers

The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

How to evaluate the expression

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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The Student Council is having an election for its executive board, which consists of 3 positions—president, vice president, and secretary. If there are 9 members on the Student Council, how many different possibilities are there for selecting an executive board?

362,880
729
504
84

Answers

There are 504 possibilities are there for selecting an executive board.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to a variety of possible arrangements or orders. With permutations, the arrangement's sequence is important.

Given the number of positions for executive board = 3

total members = 9

The problem is a permutation problem trying to select 3 from 9 where order matters.

a permutation is given by

ⁿpₓ = n!/(n - x)!

n = 9, x = 3

⁹P₃ = 9!/(9 - 3)!

⁹P₃ = (9*8*7*6!)/6!

⁹P₃ = 9*8*7

⁹P₃ = 504

Hence there are 504 possibilities.

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Please help me with this! 30 POINTS!

Please help me with this! 30 POINTS!

Answers

Answer:

B) -2⅛

Step-by-step explanation:

All other options are irrational

An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?

Answers

To solve this problem, we need to use the formula for exponential growth:

N = N0 * 3^t

where N is the final number of ants, N0 is the initial number of ants, 3 is the rate of growth (since the number of ants triples each week), and t is the number of weeks.

We are given that there are initially 200 ants, so N0 = 200. We want to find N at the end of 8 weeks, so t = 8. Substituting these values into the formula, we get:

N = 200 * 3^8

N = 200 * 6561

N = 1,312,200

Therefore, at the end of the eighth week, there will be 1,312,200 ants in the colony.

Select the correct answer.
Libby bought 250 stocks of a company named Xylet last year. Xylet's total earning for the year is $ 4million and it has 1,000,000 outstanding
stocks. What is Xylet's Earning per share (EPS)?
OA. 4
OB. 0.04
C. 40
OD
400

Answers

Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.​

Answers

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

What are even and odd numbers?

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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simplify the equation​

simplify the equation

Answers

Answer:

B. 8d¹⁵e³f⁹

Step-by-step explanation:

When an exponent is raised to an exponent, you multiply them together.

For example, (d⁵)³ = d¹⁵

23 points see attachment below

23 points see attachment below

Answers

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

The points of each player on Parker's basketball team for the season are shown in the table. The points of an opposing team are represented by the box plot. How does Parker's team compare?
Points per Player
60
35
90
100
32
45
120
76
60
80
96
38
36
92
75
70 71 72 73 74 75 76 77
Parker's team has a median of points per player, with an IQR of 70 points. The opposing team has a median of points per player, with an IQR of 77 points.
(Type integers or decimals.)

The points of each player on Parker's basketball team for the season are shown in the table. The points

Answers

Comparing both data sets, we have: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

How to Find the Median and IQR of Data Sets?

Given that the data set for Parker's Basketball team is: 35, 32, 60, 80, 36, 90, 45, 76, 96, 92, 100, 120, 60, 38, 75, find the IQR and the median of the team:

The First Quartile is the middle of the first part of the data which is: 38

The middle of the data is the Median which is: 75

Third Quartile is: 92

IQR = third quartile - first quartile = 92 - 38 = 54.

Using the box plot given for the opposing team:

Median = 74

IQR = 76 - 73 = 3

Therefore, we can conclude that: "Parker's team has a median of 75 points per player, with an IQR of 54 points. The opposing team has a median of points 74 points per player, with an IQR of 3 points.

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PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.

A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.

∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.

Answers

Answer: Choice B

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.

PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =

Answers

Answer:

1 cake 6 slice

Step-by-step explanation:

just divide

12/2=6

8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.

Answers

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

HELP WILL MARK BRAINLIST
What is the argument of z = 1/16 minus square root 3/16i?

A. Negative StartFraction pi Over 3 EndFraction
B. Negative StartFraction pi Over 6 EndFraction
C. StartFraction pi Over 6 EndFraction
D. StartFraction pi Over 3 EndFraction

Answers

Answer:

The answer is A: -pi/3

Step-by-step explanation:

I just to the quiz

Answer:

A

Step-by-step explanation:

Find the value of the algebraic expression for the given values of the variables,
x^2 – 3y^3 + 4z for x = -1, y = -3, z = 2

Answers

......The answer is 88

Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?

Answers

Answer:

104 gallons

Step-by-step explanation:

320/31=10.323 miles per gallon

1070/10.323=103.66 <---round to whole number

104 gallons needed

It is suspected that calcium in blood platelets may be related to blood pressure. As part of a study of this relationship, researchers recruited 30 subjects whose blood pressure was normal (i.e., not abnormally elevated). For each subject two measurements were made: pressure (average of systolic and diastolic measurements) and calcium concentration in the blood platelets. The sample size is n = 30, and the sample correlation is r = 0.4. Is there evidence that blood pressure and platelet calcium are linearly related? State the hypothesis and test it at 5% level of significance. What is your conclusion?

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

\(\mathbf{ H_o: \rho = 0} \\ \\ \mathbf{H_1: \rho \ne 0}\)

The test statistics is as follows:

\(t = \dfrac{r\sqrt{n-2} }{\sqrt{1-r^2}}\)

\(t = \dfrac{0.4 \sqrt{30-2} }{\sqrt{1-0.4^2}}\)

\(t = \dfrac{0.4 \sqrt{28} }{\sqrt{0.84}}\)

t = 2.3094

The critical value

\(t_{\alpha/df} = t_\ \{0.05/2 \ , \ 30-2 \} } \\ \\ = t_{0.025,28} = \pm 2.048 ( from \ the \ t-tables)\)

Decision rule:

To reject \(H_o\) if t > \(t_{\alpha/df}\).

So since t > \(t_{\alpha/df}\). we reject \(H_o\) at ∝ = 0.05

Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.

Find the measure of arc BC given m<1 = 70°. Type a numerical answer in the space provided. Do not include any symbols, labels or
spaces in your answer.

Find the measure of arc BC given m&lt;1 = 70. Type a numerical answer in the space provided. Do not include

Answers

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

Simplify the given algebraic expression.
9{9b-[2-3(9b-5)]}
Please I need an answer for this
Thanks!!!

Answers

After simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

We are given the algebraic expression:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

We need to simplify the expression.

For this, we will use the BODMAS rule.

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

So, simplifying the expression, we get that:

9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }

= 9 { 9 b - [ 2 - 27 b + 15 ] }

= 9 { 9 b - 2 + 27 b - 15 }

= 9 { 9 b - 2 + 27 b - 15 }

= 81 b - 18 + 243 b - 135

= 324 b - 153

Therefore, after simplifying the algebraic expression 9 { 9 b - [ 2 - 3 ( 9 b - 5 ) ] }, we get the result as 324 b - 153.

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Given rhombus ABCD, find the area if mZABC = 60° and AE = 2.​

Given rhombus ABCD, find the area if mZABC = 60 and AE = 2.

Answers

The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

What is the area of a plane figure?

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer

Answers

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

What is the first term of the sequence with nth term formula 100n + 3?Submit Answer

The patient is to receive 250ml of D5W with 10 units of oxytocin (Pictocin) IV at the rate of 0.002 units/min. How many ml per hour.

Answers

Answer:

0.5ml/hr

Step-by-step explanation:

Given:

Infusion rate: 0.002 units/min

To convert the infusion rate from units/min to ml/hr, we need to know the flow rate conversion factor specific to the medication and solution being administered.

In this case, we have the information that the patient is receiving 10 units of oxytocin (Pictocin) in 250 ml of D5W solution.

To calculate the ml/hr rate, we can use the following formula:

ml/hr = (Infusion rate in units/min * Volume in ml) / Time in min

ml/hr = (0.002 units/min * 250 ml) / 1 min

ml/hr = 0.5 ml/min

Therefore, the infusion rate of 0.002 units/min is equivalent to 0.5 ml/hr.

Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.​

Answers

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n ​

Answers

Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

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