f(x) = x^2 is compressed vertically by a factor of 2 and shifted 2 units to the left.

equation = ???

F(x) = X^2 Is Compressed Vertically By A Factor Of 2 And Shifted 2 Units To The Left. Equation = ???

Answers

Answer 1
f(x) = 1/2(x+2)^2
1/2 compresses while the +2 INSIDE the parenthesis shifts the parental function (f(x)=x^2) to the left two units.

Related Questions

solve and check please help

Answers

Answer:

7) 24 8) 75 9) .9

Step-by-step explanation:

You multiply the denominatior with the whole number.

Answer:

x = 24   b = 75   s = 0.9

Step-by-step explanation:

7. Multiply both sides by 2 and you get x = 24

8. Multiply both sides by 5 and you get b = 75

9. Multiply both sides by 0.3 and you get s = 0.9

help me dont put links while answering question

Answers

Answer:

It's A, 3.82

Step-by-step explanation:

the decimal table goes up to left

24.5x = 30 what is x?

Answers

Answer:

24.5x = 30

      x = 30/ 24.5

         = 1.22448979592

hope this answer helps you.....

Answer:

x= 30/24.5=1.22448

Step-by-step explanation:

we have :

2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448

Find the conjugate and product of the following surds

1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy​

Answers

Answer:

(1) Conjugate = -i8

(2) Conjugate = -i3+9

(3) Conjugate = i2+1

(4) Conjugate = -3-iy

Step-by-step explanation:

From the question,

Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.

The conjugate of a surd is obtained by changing the sign of the surd in the expression.

Given

(1) i3+i5 = i8

Conjugate is -i8

(2) i3+9

Conjugate is -i3+9

(3) -i2+1

Conjugate is i2+1

(4) -3+iy

Conjugate is -3-iy

A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel routes, with the time required for each segment, is shown below.


What is the shortest path and what is the shortest possible time to travel from A to Z? (Round your answer to the nearest whole number.)


Shortest Path Choices: A-B, B-E, E-Z ; A-C, C-Z ; A-B, B-D, D-Z

Answers

Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

What is the shortest path?

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

Learn more about the shortest path here:

https://brainly.com/question/15139264

HELP PLS I SUCK AT MATH IF U HELPED U SAVED MY LIFE THANK YOU

Answers

Add all the hours from Monday to Wednesday after that you subtract the total from the overall hours

A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?

a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15

Answers

The answer is C hope this helps :)

The circumference of a circle is 119.32 in what is the diameter of the circle?

Answers

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Divide. Round your answer to the nearest hundredth.

Answers

Answer:

775.64

Step-by-step explanation:

The correct answer is 775.64

Solve for × and write answer in interval notation.
[tex] \frac{1}{x + 1} \geqslant \frac{3}{x - 2} [/tex]

Answers

Answer:

( -∞, -2.5] ∪ (-1, 2)

Step-by-step explanation:

1/(x + 1) ≥ 3/(x - 2)

x - 2 ≥ 3(x + 1)

x - 2 ≥ 3x + 3

x - 3x ≥ 3 + 2

-2x ≥ 5

x ≤ -2.5

Interval notation:

( -∞, -2.5] ∪ (-1, 2)

A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.

Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?

Answers

Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)

Question 2 options:

3/17


9/17


2/17


14/17

Answers

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

What is the slope of the line passing through the points (-8,5) and (7,0)

Answers

Use the formula y2-y1 over x2-x1
Plug the two points in:
5-0 over (-8)-7 = 5 over (-15) = -3
The slope of the line that passes through points (-8,5) and (7,0) is -3

To solve the problem we must know about the slope of a line.

What is a Slope?

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]

The slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].

Given to us

points (-8,5) points (7,0)

Points can be written as,

[tex]y_2 = 0\\y_1 = 5\\x_2=7\\x_1 = -8[/tex]

The slope of a line

We know that the slope of a line whose two points are given is written as,

[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Substituting the value, we get,

[tex]m = \dfrac{(0-5)}{[7-(-8)]}\\\\m = \dfrac{(0-5)}{[7+8]}\\\\m = \dfrac{(-5)}{[15]}\\\\m= \dfrac{-1}{3}[/tex]

Hence, the slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].

Learn more about Slope:

https://brainly.com/question/3605446

A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.

Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.

Enter the correct answers in the boxes.
One Way:
Second Way:

Answers

Answer:

One Way: 79 + 62H + 15H = X

Second Way: 79 + ((62 + 15) x H) = X

Step-by-step explanation:

Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

79 + 62H + 15H = X

So, for example, if the job had lasted 2 hours, the equation would apply as follows:

79 + 62x2 + 15x2 = X

79 + 124 + 30 = X

233 = X

79 + ((62 + 15) x H) = X

In the case, if the work had lasted 1 hour, the equation would apply as follows:

79 + (62 + 15) x 1) = X

79 + 77 x 1 = X

79 + 77 = X

156 = X

The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.

There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.

Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour

$79 + $62h + $15h

= $79 + $77h

Total charge when there is no emergency = one-time service fee + labor charge per hour

$79 + $62h

To learn more about how to determine total charge, please check: https://brainly.com/question/25879561

to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?

Answers

Answer:

18.9 eggs

Step-by-step explanation:

54÷20= 2.7

2.7 ×7=18.9

The answer is 18.9 Hope this helped Sorry but it was really easy.

4x-3=9 what does x equal show work

Answers

Answer:

x = 3

Step-by-step explanation:

4x - 3 = 9

4x = 9 + 3

4x = 12

x = 12/4

x = 3

An amusement park has 16 attractions, including 6 rides.

What is the probability that a randomly selected attraction at this amusement park will be a ride?

Answers

The probability it will be a ride = total number of rides / total attractions.

Probability = 6/16

Probability = 3/8

Answer:

Solution :-

Probability is defined as the favourable outcomes divided by total outcomes

Probability = Favourable Outcome/Total outcomes

Probability = 6/16

Probability = 3/8

[tex] \\ [/tex]

solve the equation -3(w+12)=-16

Answers

Exact form: -20/3
Decimal form: -6.6
Mixed number form: -6 2/3

50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.

Answers

Answer:

No that would be a 90 degree

Step-by-step explanation:

Will be giving BRAINLIEST and 50 PTS!!! NO GIBBERISH OR LINKS PLEASSSSSE!!!

QUESTION IS IN ATTACHMENT

Answers

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Answer:

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Step-by-step explanation:

y=x^2-6x+12
whats (x,y)

Answers

Answer:

(3,3)

Step-by-step explanation:

A television at Walmart cost $1,538 and $1,923 at Target. With taxes, what would you actually pay at each store. Walmart sales tax is 7% and Target’s sale tax is 9%.

Answers

Answer:

walmart:1645.66 target:2096.07

Step-by-step explanation:

walmart:1538/100 × 107= 1645.66

target:1923/100 × 109= 2096.07

i think this is the ans but im not very sure

What is the arc length if
0 = 2π / 3 and the radius is 4 cm?

A. 8π / 3
B. 16π / 3
C. π / 6
D. 3π / 4

Answers

Answer:

A. 8π / 3

Step-by-step explanation:

The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?

a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42

Answers

Answer:  

Scale distance on map representation = 2.4 cm

Step-by-step explanation:

Given:

Scale factor [6 cm - 15 Km]

Actual distance = 6 km

Find:

Scale distance on map representation

Computation:

Scale distance on map representation = Actual distance[6cm / 15km]

Scale distance on map representation = 6km [6cm / 15km]

Scale distance on map representation = 36 / 15

Scale distance on map representation = 2.4 cm

 

The circumcenter is the center of the __________ circle.
Question 2 options:

A)

obtuse

B)

circumscribed

C)

inscribed

D)

congruent

Answers

The answer is B: circumscribed

The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?

Answers

Answer:

V≈33238.05

Step-by-step explanation:

The circumference of the cylinder base is

= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.

That is ( 2 )(pi)( r ) = ( 44 )cm or

( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.

I have approximated ( pi ) as ( 3.14 ) for this calculation.

The area of the cylindrical base is ( pi )*( radius )^2

Therefore area of the base

= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.

Volume of Cylinder

Volume = Atea of the base multiplied by cylinder height or

= ( 154.1415 ) * ( 7 )

= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.

Lateral Surface Area

The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.

= ( 44 )*( 7 ) = ( 308 ) cm squared

Inherent Assumption

It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.

NO LINKS PLEASE

Which algebraic rule represents the pattern in the table?

Answers

multiplying each number by 8

Answer: n=m divided by 8

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 63

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 62 + 55 = 180

x + 117 = 180

x = 180 - 117

x = 63

How many times larger than
(8 + 22) is 8 x (8 + 22)?

Answers

Answer:

8

Step-by-step explanation:

8+22 = 30

In order to solve 8 • (8+22), we'll need to use the order of operations. First, complete what is in parenthesis.

8 • (8+22)

30

Then, multiply 30 by 8.

30 • 8 = 240.

So, you can then divide to find your answer. If you divide 240 by 30, you will find that 8 • (8+22) is 8 times larger than 8+22.

Answer:

8 times larger

Step-by-step explanation:

Cos Y=?

5/13

5/12

12/13

Answers

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Other Questions
Mr. Taylor arranges some chairs in rows. He puts the same number of chairs in each of the 7 rows and puts 7 chairs in the last row. He sets up 70 chairs. How many chairs does he pt in each of the 7 equal rows?Choose the equation that can be used to solve the problem. (7xc) +7=70(70/7) +7=C(7xc)-7=70 Middle school math problem..... 9750m= _____ Kilometre What three goals did the Framers of the Constitution hope to accomplish when writing the constitution Describe how the graph of y=lxl 7 is like the graph of y=lxl and how it is different. Can someone help with this question? On which days of the year does the North Pole have 12 hours of day light and 12 hours of night? The area of the triangle below is 38.28 square meters. What is the length of the base? h0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0w Describe how acid rainfalling in a forest could disrupt thetrophic structure of the ecosystem. So like how do I do this? Substitution1.y=-5x-19y=-6x-242.y=-6x-22y=-3x-10 According to the etext reading for Marine Biomes, which of the following are reasonsthe marine biomes are a challenging place for organisms to live?some areas are extremely dark and deepall of the organisms have to live without sunlighthigh waves can be rough and powerfulorganisms have to be able to live in extremely salty conditions A punch bowl has 1/3 of a gallon of Rainbow sherbet, 1/2 of a gallon of Sprite, and 1/6 of a gallon of Sundrop. After the punch is split equally among two serving bowls how much of each ingredient is in one serving bowl. How much Rainbow Sherbet will be in the bowl if it is split equally between two bowls? A spinner is divided into an unknown number of equal-sized sections. Your friend spins it 100 times and tells you that it landed on section one 25 times. What is the best estimate of the number of sections the spinner is divided into? 4 25 100 400 Who was Muhammad?Please help A jar contains 3 blue marbles, 4 yellow marbles, and 3 green marbles.What is the probability of randomly choosing a yellow marble, replacingit, and then choosing a blue marble? Which of the following most accurately describes China today?China remains Communist but is also a major economic power.China is no longer Communist but is a major economic power.China remains Communist but is not a major economic power.China is no longer Communist and is not a major economic power. What evidence does Manjiro have to believe the men are barbarians? What evidence does he have to believe they are not barbarians? When the temperature stays the same, the volume of a gas is inversely proportional to the pressureof the gas. If a balloon is filled with 45 cubic inches of a gas at a pressure of 14 pounds per squareinch, find the new pressure of the gas if the volume is decreased to 15 cubic inches.15A) 28 pounds per square inchB) pounds per square inch14D) 39 pounds per square inchC) 42 pounds per square inch