(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.

Answers

Answer 1

Answer:

g(x) = Ix/2 + 1I

Step-by-step explanation:

First, let's describe the transformations in a general way.

Horizontal translation.

For a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Horizontal stretch.

For a function f(x) a horizontal stretch of scale factor k is written as:

g(x) = f(x/k)

Then if we have the function f(x) = IxI

First we do a translation of 2 units to the left, then we have N = 2

The transformation is:

g(x) = f(x + 2)

Now we do a horizontal stretch by a factor of 2.

g(x) = f( (x + 2)/2=

g(x) = f( x/2 + 1) = Ix/2 + 1I

The equation of the final graph is:

g(x) = Ix/2 + 1I


Related Questions

anyone can answered this question pls , I brainliest who answered I'll promise (Using Polygons) Math Subject Thank You!(:​

Answers

Answer:

pentagon

Step-by-step explanation:

Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179

How much lower is the average for the treatment group than the average for the control group?

Answers

Answer:

14,96

Step-by-step explanation:

a sweater originally priced at $79 is marked down 20%. What will the sales piece be?

Answers

Answer:

$63.20

Step-by-step explanation:

first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.

79•0.2= 15.8

so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price

$79-$15.8= $63.20

hope this helps chu <3

Plz help me well mark brainliest if you are correct!

Answers

Answer:

the answer is a

Step-by-step explanation:

radius is the diameter divided by 2

Answer:

31.2

Step-by-step explanation:

The area of the rectangle shown is 66 m2.
4m
x m
Work out the missing length x.

Answers

Answer:

16.5 m

Step-by-step explanation:

66÷4=x

x=16.5m

...........

...........

The answer is 16.5 because 66/4

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

a) If the perimeter of a circle is 44 cm,
(i) find its radius.
(ii) find its area.​

Answers

Answer:

[tex]154 \: {cm}^{2} [/tex]

Step-by-step explanation:

Let the radius be = r cm

circumference = 2πr

[tex]44 = 2 \times \frac{22}{7 } \times r[/tex]

[tex]r = \frac{44 \times 7}{44} \times 7[/tex]

[tex]r = 7 \: cm[/tex]

Area of circle =

[tex]\pi {r}^{2} [/tex]

[tex] = \frac{22}{7} \times 7 \times 7[/tex]

[tex] = {154 \: cm}^{2} [/tex]

Hope it is helpful....

ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x minus 2 end quantity plus 8 equals x

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=11

Explanation: See below!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

x = {6, 11}

Step-by-step explanation:

[tex]\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11[/tex]

Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1?



A. Graph A

B. Graph B

C. Graph C

D. Graph D

Answers

Answer:graph d

Step-by-step explanation:

I just took the test on a p# x and yea I'm dum and got it wrong

Answer:It’s graph B

Step-by-step explanation:

step 2. divide the amount of rice by the total 50/5=10​

Answers

Answer:

oo nvjfdifhdkvcbjkggnnvv

Step-by-step explanation:

please mark me answer banilist

1 in
2 in
What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

[tex]\boxed {\boxed {\sf c \approx 2.2 \ inches}}[/tex]

Step-by-step explanation:

This triangle has a small square in the corner, representing a right angle. This means we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

In this triangle, the legs are 2 and 1, because they form the right angle. The hypotenuse, which is opposite the right angle, is unknown.

a = 2b=1

Substitute the known values into the formula.

[tex](2)^2+(1)^2=c^2[/tex]

Solve the exponents.

(2)²= 2*2=4

[tex]4+(1)^2=c^2[/tex]

(1)²=1*1=1

[tex]4+1=c^2[/tex]

Add.

[tex]5=c^2[/tex]

Since we are solving for c, we must isolate the variable. Since it is being squared, we take the square root of both sides.

[tex]\sqrt {5}= \sqrt{c^2} \\[/tex]

[tex]2.2360679775=c[/tex]

We have to round to the nearest tenth. The 3 in the hundredth place tells us to leave the 2 in the tenths place.

[tex]2.2 \approx c[/tex]

The hypotenuse is approximately 2.2 inches.

The quotient of a number and -9 increased by 10.3 is 11.3. What is the equation?

Answers

Answer:

x/-9+10.3=11.3

Step-by-step explanation:

Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)

Answers

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

What is the Area of Triangle RST? Round your answer to the nearest tenth. *

Answers

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?

Answers

Answer:

7 wedges

Step-by-step explanation:

=60% of 126g

=60 ÷ 100 × 126g

=75.6g

=75.6 g ÷ 10g

=7.56 = 7 wedges

Find the value of x.
3
x = [?]

Answers

Answer:

12

Step-by-step explanation:

According to Euclidian theorem h^2 = 3*x (h : height)

36 = 3x divide both sides by 3

12 = x

A coordinate map of a college campus gives the coordinates (x,y) of three major buildings as follows: computer center, (3.5,-1.5); engineering lab, (0.5,0.5); andlibrary, (-1,-2.5). Find the equations in slope-intercept form of the lines connecting (a) the engineering lab and the computer center and (b) the engineering lab with the library. Are these two paths perpendicular to each other?

Answers

Answer:

a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

b) [tex]y = 2x - \frac{1}{2}[/tex]

These two paths are not perpendicular to each other.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope of the line and b is the y-intercept.

If two lines are perpendicular, the multiplication of their slopes is -1.

(a) the engineering lab and the computer center

Coordinates (3.5,-1.5) and (0.5,0.5)

The slope is given by the change in y divided by the change in x.

Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2

Change in x: 0.5 - 3.5 = -3

Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

Now, to find the y-intercept, we replace one of these points into the equation.

(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]

[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]

[tex]b = \frac{5}{6}[/tex]

So

[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

(b) the engineering lab with the library.

(0.5,0.5) and (-1,-2.5).

First, we find the slope:

Change in y:-2.5 - 0.5 = -3

Change in x: -1 - 0.5 = -1.5

The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]

So [tex]y = 2x + b[/tex]

Now we find b

[tex]y = 2x + b[/tex]

[tex]0.5 = 2(0.5) + b[/tex]

[tex]b = -0.5 = -\frac{1}{2}[/tex]

So

[tex]y = 2x - \frac{1}{2}[/tex]

The multiplication of their slopes, is

[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]

Since it is different of one, these paths are not perpendicular to each other.

Find the product. Type your answer in the provided space. Do not use spaces in your answer. To demonstrate an exponent, use the ^ key. For example, x2should be typed in as x^2.

3x3y · 5x2y

Answers

Answer:

15x²6y² .................

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

We have,

(3x³y) (5x²y)

Now,

Finding the product of the expression.

We add up the exponents of the same base.

[tex]x^3x^2 = x^{3 + 2} = x^5\\yy = y^{1 + 1} = y^2[/tex]

And,

(3x³y) (5x²y)

[tex]= (3 x 5) x^5y^2[/tex]

Thus,

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?

Answers

Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches

16=b-3 what is the answer

Answers

Answer:

19 is the answer .......explanation is in image.

in how many ways can you arrange MATHEMATICS if duplication of the arrangement are not allowed?​

Answers

Answer:

4989600 ways

Step-by-step explanation:

From the question,

The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)

⇒ n!/(r₁!r₂!r₃!) ways

Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.

Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2

Substitute these value into the expression above

11!/(2!2!2!) = (39916800/8) ways

4989600 ways

Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways

Answer this question please ASAP

Answers

the outlier is 6

increase the mean

decreases the standard deviation

one mile equals approximately 1.6 kilogmeters approximately how many kilometers are in 4 miles

Answers

Answer:

6.4

Step-by-step explanation:

multiply

Answer:

6.43

Step-by-step explanation:

You are given:

1 mile = 1.6 kilometers

but you want 4 miles so you multiply both of them by 4 so...

1*4 = 1.6*4

That gives you ------> 4 miles = 6.4 kilometers

Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel

Answers

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

2√3

Step-by-step explanation:

Given the following information,

Long = 3 = Adjacent

Angle of elevation =30 degrees

Required

Hypotenuse

Using SOH CAH TOA identity

Cos theta = adj/hyp

Cos 30 = 3/hyp

hyp = 3/cos30

hyp = 3/√3/2

hyp = 3* 2/√3

hyp = 6/√3

hyp = 6/√3 * √3/√3

hyp = 6√3/3

hyp = 2√3

Hence the hypotenuse is 2√3

Answer:

2v3

Step-by-step explanation:

The coordinates of a rectangle are (3,0), (3,-5), (-4,0) and (-4,-5)

a. What is the length of this rectangle? ____ units

b.width? ____ units

c. What is the perimeter of the rectangle? ___ units

d. What is the area of the rectangle? ___ units

PLEASE HELP!! GIVING BRAINLIEST!!!

Answers

Answer:

a. 7 units

b. 5 units

c. 24 units

d. 35 units

a) The length of this rectangle is, 5 units.

b) The width of this rectangle is, √74 units

c) The perimeter of the rectangle is,

⇒ 2 (5 + √74)

d) The area of the rectangle is,

⇒ 5√74 units²

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinates of a rectangle are,

⇒ (3, 0), (3, -5), (-4, 0) and (-4, -5)

Now, The length of this rectangle is,

Distance between (3, 0) and (3, - 5).

⇒ √ (- 5 - 0)² + (3 - 3)²

⇒ √25

⇒ 5 units

And, The width of this rectangle is,

⇒ Distance between (3, - 5) and (- 4, 0).

⇒ √ (- 4 - 3)² + (0 + 5)²

⇒ √49 + 25

⇒ √74 units

And, The perimeter of the rectangle is,

⇒ 2 (Lenght + Width)

⇒ 2 (5 + √74)

And, the area of the rectangle is,

⇒ Length × Width

⇒ 5 ×√74

⇒ 5√74 units²

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ3

Triangles 1 and 2 have the angle measures
as shown.
Triangle 1
Triangle 2

1430 186 820
82°
550
Which statement is correct about triangle 1
and triangle 2?

Answers

Answer:

C

Step-by-step explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,−1)
(1,1)
(1,0)
(0,1)

Answers

Answer:

The answer is C.[1,0]

Step-by-step explanation:

HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

How to calculate the midpoint of two coordinates?

The midpoint is the middle of a line projecting from one end to another.

Given the parallelogram HIJK with the coordinate points

H(-2,2), I(4,3), J (4, -2), and K (-2, -3)

The diagonals are HJ and IK.

Determine the midpoint

M(x, y) = [(-2+4)/2, (2-2)/2]

M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)

This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

Learn more on midpoint of coordinates here: https://brainly.com/question/18315903




Explain how you would find the sum of 0.35, 0.5 and 0.05 giving your answer as a
fraction.

Answers

Answer: Here

Step-by-step explanation:ou have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated

addition. However, this concept does not work when neither of the factors is a whole number, as in

0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding

"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”

Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.

Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.

Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60

Mauna Loa is one of the most active volcanoes in the world. From 1832 to 1950, the Hawaiian landmark erupted 37 times. What probability distribution will be used to estimate the chance that the next two Mauna Loa eruptions will occur within five months of one another

Answers

Answer:

[tex]E \approx \exp(0.31)[/tex]

Step-by-step explanation:

From the question we are told that

Occurrence of volcanoes[tex]x=37 times[/tex]

The number year

[tex]N= 1832-1950\\N=118 years[/tex]

Generally the number  of volcanoes occurring is mathematically modeled as

[tex]X \approx Poisson(0.31)[/tex]

Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters

[tex]E \approx \exp(0.31)[/tex]

Other Questions
Who did Arthur Miller intend for the audience of The Crucible? QUESTION 1Find the slope of a line through the points (7, 8) and (5, 7).a -12b-15/2c -2/15d -1/12 Martina just opened both a checking account and a savings account for thefirst time, so her credit score rose from 665 to 725. According to the followingtable for a $150,000 mortgage, how much less per year would Martina haveto pay on a $150,000 mortgage with the new credit score?FICOInterest MonthlyScoreRate Payment720-8505.59%700-7195.71% $872675-6996.25% $924620-6747.40% $1039560-6198.53% $1157500-5599.29% $1238$860A. $179B. $860C. $1039D. $2148 Think About the Process If you solve the linear system by adding to eliminate p, which step could you do first? Solve for p and q.2p +39 = 73p + 59 = 10Which step could you do first?O A. Multiply the first equation by - 3 and the second equation by - 2.O B. Multiply the first equation by 3 and the second equation by 2.O c. Multiply the first equation by - 3 and the second equation by 2.OD. Multiply the first equation by - 2 and the second equation by 3.The solution is(Type an ordered pair.) Straps of connective tissue which holds bones together at the joints are:-perlosteum-cartilage-muscles-ligaments Simplify:(31 - 11) + 5+2x4Submit ***TEN POINTS***This form of farming allowed farmers who could not afford land, the ability to rent land from other farmers by giving a portion of their crop or profit to the land owner. A graph with resistance in ohms on the x-axis from 0 to 200 and current in amps on the y-axis from 0 to 5. The graph is labeled as current as a function of resistance at 50 V. Points are plotted at (10, 5), (20, 2.5), (100, .5) and (200, .25). There is an inverse curve through the points. Use the graph to answer the questions. Based on the graph, what happens to current as resistance increases? This type of graph shows which type of relationship between the two variables? What would be a reasonable estimate for current at a resistance of 50 ? A police department wants to maintain a database of up to 1800 license-plate numbers of people who receive frequent tickets so that it can be determined very quickly whether or not a given license plate is in the database. Speed of response is very important; efficient use of memory is also important, but not as important as speed of response. Which of the following data structures would be most appropriate for this task?a. a sorted linked listb. a sorted array with 1,800 entriesc. a hash table using open addressing with 1,800 entriesd. a hash table using open addressing with 3,600 entriese. a hash table using open addressing with 10,000 entries please help fast!!!! trig/ geometry I really need help with this please! Why were the zhou able to overthrow the Shang dynasty with little trouble? Why are East Africas natural resources underdeveloped?Choose all answers that are correct.lack of a transportation systemresources are inaccessiblepolitical instabilityhigh cost of investment In Girls,______ body increases as their mammary increases in size,whereas boys become leaner When the Federal reserve uses contractionary monetary policy to reduce inflation, it A. sells treasury securities increasing interest rates, leading to a stronger dollar that lowers net exports in an open economy. B. buys treasury securities increasing interest rates, leading to a weaker dollar that increases net exports in an open economy. C. buys treasury securities decreasing interest rates, leading to a weaker dollar that lowers consumption of durables in a closed economy. D. sells treasury securities decreasing interest rates, leading to a stronger dollar that lowers domestic investment in a closed economy. Kerala is a narrow strip of land between the _______ sea and the Western ghats in the south west corner of ________. It is full of ________ trees and has a beautiful beaches. Kerala has the highest rate of ___________. _______ in Kerala hold a high position in society. People of many religions live together in ________ which of the following is not an example of ethos HELPP PLSSS THIS IS DUE FOR LIKE RIGHT NOWWWWWWW What's the Lateral Surface Area?What's the Surface area The student did this problem wrong, explain what is wrong and fix their mistake to give me the correct answer.Please help me haha