Transform the given function f(x) as described. f ( x ) = x 3 Translate right 2 units Translate up 3 units

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = x^3

To get this to move right, you must do the opposite to what you think you should do.

f(x) =(x - 2)^3.  

That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0

Now you want f(x) to move up 3 units.

f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units

Let's see if this is correct.

If you look at the graphs,

The red one is y = x^3The blue one is y = (x - 2)^3The green one is y = (x - 2)^3 + 3

The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.

Transform The Given Function F(x) As Described. F ( X ) = X 3 Translate Right 2 Units Translate Up 3

Related Questions

Please help this is including substitution and system of equations.

Answers

Answer: I gotcha

Step-by-step explanation:

B, C, C, D, B

I just helped my brother with this

I need help figuring this out, thank you! :)

Answers

Answer: 8

Step-by-step explanation:

5*6/2=15120/15=8

Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4

Type the appropriate values to complete the sine function.

Answers

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

Amplitude: 7Period: 9π Phase shift: 1/4

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shift

Finding a and phase shift:

a and c is simply given which is

a=7C=¼

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!

What numbers are the solutions to this inequality?
q>5^2

Answers

Answer: q= 30

Step-by-step explanation:

Solve for q

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

q>25

Interval Notation:

(25,∞)

Jennifer. Wants to wrap her Mother’s Day present in pink wrapping paper the wrapping paper cost $0.09 per square inch. How much will it cost her to wrap the present

Answers

The answer is 12.97

A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?

Answers

Your answer would be 57.5%.

Rewrite by completing the square f(x) = x2 - 6x +43

Answers

Answer:

f(x) = (x - 3)^2 + 34

Step-by-step explanation:

For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?

Answers

I believe that the answer is $426,960.

I hope this helps!

Question 1 of 10
Which function results after applying the sequence of transformations to
Rx) = x5?
• compress vertically by
• shift left 2 units
• shift down 1 unit
O A. g(x) = }(x-2)5.1
O B. g(x) = + (x + 2,5-1
O C. g(x) = (3x+2)5-1
O D. g(x) = ž (x-1)5-2
HELP PLEASE ❗️❗️❗️❗️

Answers

Answer:

A (g(x) = }(x-2)5.1).

Step-by-step explanation:

The function which results after the sequence of transformations given is B. g(x) = 1/2 (x + 2)⁵ - 1.

What is Translation of Functions?

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given function is,

f(x) = x⁵

When a function is compressed vertically, then new function formed will be of the form, k f(x), where k is the factor that is compressed.

After compress vertically by 1/2,

f(x) changes to 1/2 f(x) = 1/2 x⁵

After the horizontal translation of 2 units to the left,

1/2 f(x) changes to 1/2 f(x + 2) = 1/2 (x + 2)⁵.

After vertical translation of 1 unit to the down,

1/2 f(x + 2) changes to 1/2 f(x + 2) - 1 = 1/2 (x + 2)⁵ - 1

Hence the correct option is B . g(x) = 1/2 (x + 2)⁵ - 1.

Learn more about Transformations of Functions here :

https://brainly.com/question/13810353

#SPJ7

Someone please help me. I will mark brainliest. I really need help ASAP.

Answers

Answer: 38.8

Step-by-step explanation:

use formula C = π * D

Diameter = 6

C = π * 6

C = 18.8495559215 = 18.8

18.8 + 10 + 10 = 38.8

32614 round to nearest 100 place?​

Answers

Answer:

32600

Step-by-step explanation:

32700 would be the answer

A vehicle moves along a straight road. The vehicle's position is given by f(t) , where tt is measured in seconds since the vehicle starts moving. During the first 10 seconds of the motion, the vehicle's acceleration is proportional to the cube root of the time since the start. Which of the following differential equations describes this relationship, where k is a positive constant?

a. df/dt = kſ
b. df/dt - = kgf
c. d²f/dt = kyt dt2
d. d²f/dt = ky

Answers

Answer:

Step-by-step explanation:

a

or D

In the diagram, KLMN is a rectangle, and the two shaded regions are squares. If the length of KL is 6 centimeters, and the length of KN is 14 centimeters, which is closest to the length of ST in centimeters?​

Answers

Answer:

15.2cm

Step-by-step explanation:

From the given diagram;

KN = SN = 14cm

KL = NT = 6cm

Required

ST

Using the Pythagoras theorem;

ST² = SN² + NT²

ST² = 14² + 6²

ST² = 196 + 36

ST² = 232

ST = √232

ST = 15.2cm

Hence the length of ST is 15.2cm

5days a week 4 hours a day at $10.00 a day =?

Answers

Answer : $200 a week

app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit

Answers

Answer:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 125[/tex]

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

[tex]Pr = \frac{Frequency}{n}[/tex]

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]

[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]

[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]

When the frequency is to be calculated, we use:

[tex]Pr = \frac{Frequency}{n}[/tex]

[tex]Frequency = n * Pr[/tex]

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

[tex]Frequency(3) = 125 * 0.144 = 18[/tex]

[tex]Frequency(5) = 125 * 0.296 = 37[/tex]

For roll of 1 where the frequency and the probability are not known, we use:

[tex]Total \ Frequency = 125[/tex]

So:

Frequency(1) added to others must equal 125

This gives:

[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]

[tex]Frequency(1) + 103 = 125[/tex]

Collect like terms

[tex]Frequency(1) =- 103 + 125[/tex]

[tex]Frequency(1) =22[/tex]

The probability is then calculated as:

[tex]Pr(1) = \frac{22}{125}[/tex]

[tex]Pr(1) = 0.176[/tex]

So, the complete table is:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Use technology or a z-score table to answer the question.

The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.

Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?


23.3%

31.2%

45.5%

76.73%

Answers

Answer:

46% is the percent of the bags of baby carrots that have between 90 and 100 carrots

Step-by-step explanation:

The baby carrot is normally distributed.  

z = (x - µ)/σ

x is equal to number of baby carrots  

µ = mean

σ = standard deviation

Substituting the given values, we get -

90 ≤ x ≤ 100

z = (90 - 94)/8.2 = - 0.49

 For z value of -0.49, the probability is 0.31

For x = 100

z = (100 - 94)/8.2 = 0.73

For z value of 0.73, the probability is 0.77

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots having carrots between 90 and 100 carrots is  0.46 × 100 = 46%

Please explain step by step.

Answers

Answer:

B

Step-by-step explanation:

If you at the graph it shows that the dots in bettwen Y side (left side)

so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction

Answers

Answer:

[tex]Pr = \frac{1}{26}[/tex]

Step-by-step explanation:

Given

In a deck of card, we have:

[tex]Cards = 52[/tex]

[tex]King[Heart] = 1[/tex]

[tex]Queen[Spade] = 1[/tex]

Required

The probability of obtaining a king of heart or a queen of spade.

The probability of king of heart is:

[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]

[tex]P(King[Heart]) = \frac{1}{52}[/tex]

The probability of queen of spade is:

[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]

[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]

The required probability of obtaining a king of heart or a queen of spade. is:

[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]

[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]

Take LCM

[tex]Pr = \frac{1+1}{52}[/tex]

[tex]Pr = \frac{2}{52}[/tex]

Simplify

[tex]Pr = \frac{1}{26}[/tex]




'All factors of 70 are even numbers.'
Is he correct?
Ores
Yes
No
No
Explain your answer.​

Answers

Answer:

No

Step-by-step explanation:

70 is divisible by 5. 5 is not an even number.

Answer:

No

Step-by-step explanation:

The factors of 70 are 1, 2, 5,7,10, 14, 35, and 70. the even numbers are 2, 10,14, and 70. but there are odd numbers, like 1, 5, 7, and 35. And since we know there are odd factors, the answer is No. 70 has even AND odd factors.

an economics professor gives a test to gauge the math preparedness of his students. he believes that the performance on the test and the number of hours studied are the main factors. for a group of 60 students we have what is the predicted final exam score

Answers

Answer:

hello your question is incomplete, the missing part of the question is attached below

answer :

1) β1 = 0.25

  β2 = 4.85

2)  40.55 + 0.25 ( math score ) + 4.85 ( hours )

Step-by-step explanation:

1) The estimate for β1 and β2

From the attached excel result the estimates are ;

β1 = 0.25 : This shows the change in the mean value of the  final score in relation to the change in math score while the time is kept constant

β2 = 4.85 : This represents the change in the mean value of the final score in relation to the change in time while the math score is held constant

2) sample regression equation

The Final sample regression equation = 40.55 + 0.25 ( math score ) + 4.85 ( hours )

Show your full solution

1. How much larger is the pizza in a circular pan with a 14-inch diameter than a pizza made in square pan with sides measuring 14 inches?

2. A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard, to leaving a margin of 3 cm all around. What is the area of a photograph?​

Answers

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

An education researcher would like to test whether 2nd graders retain or lose knowledge during the summer when they are presumably not in school. She asks nine 2nd graders to take a comprehension exam at the end of the school year (May), and then asks those same students to come back after the summer (late August) to retake a different but equivalent exam, to see if their level of comprehension has changed. Using the data below, test this hypothesis using an alpha level of .05.
May August
90 100
65 80
78 92
50 60
89 90
92 98
75 70
90 96
65 87
a) What is the appropriate test? Is it a one or two tailed test?
b) State the null hypothesis (in words and using means).
c) State the alternative hypothesis (in words and using means).
d) Find the critical value.
e) Calculate the obtained value by hand. What does your decision mean?

Answers

Answer:

See step by step explanation

Step-by-step explanation:

From the problem statement, we understand that we need to investigate if 2nd graders RETAIN OR LOSE knowledge comparing information concerning two different months, therefore we are going to find out if the information gives us enough evidence of a difference in the two groups

a) The test should be a two tail-test

Sample sizes are small ( n₁ = n₂  = 9 ) which means we have to use  t-student test

b   and    c) Test Hypothesis:

For Null Hypothesis H₀,  we establish that the two means are equal, which in this case means that the two samples´ means are equal. And as Hypothesis alternative Hₐ that the H₀ is not true,  or that the samples mean are different.

Null Hypothesis     H₀             x₁  -  x₂   = 0   or    x₁  =  x₂

Alternative Hypothesis  Hₐ    x₁  -  x₂   ≠  0   or   x₁  ≠  x₂

d) Significance level α  = 0,05   then   α/2  = 0,025

then t(c)  with  α/2  =  0,025  and degree of freedom  

df =  n₁  +  n₂  - 2      df =  9 + 9 -2     df = 16

From t s-tudent table we find     t(c) =  2,12

e) Calculating:

x₁   and  σ₁

x₂  and  σ₂

σₓ  = [ ( n₁ - 1 )* σ₁² + ( n₂  - 1 )*σ₂² ]/ n₁ + n₂ - 2

Using a calculator:

x₁  =  77,11        σ₁  = 13,86

x₂  = 85,89      σ₂  = 12,74

σₓ  = [ ( 8*(13,86)² + 8*( 12,74 )² ] / 16

σₓ  =  (8* 192,1) + 8* ( 162,31) / 16

σₓ  = (1536,8 + 1298,48 ) / 16

σₓ  =  177,205

t(s) = ( x₁ - x₂ ) /√ σₓ²/ n₁  + σₓ²/ n₂

t(s) = ( 77,11 - 85,89 )/ (177,205)²/n₁ + (177,205)²/n₂

t(s) = - 8,78 / √3489,07 + 3489,07

t(s) = -8,78 / 83,54

t(s) =  - 0,11

Comparing  t(s) and  t(c)

|t(s)| < |t(c)|      

0,11 <  2,12

t(s) is in the acceptance region. We accept H₀

       

What point is closest to x axis

Answers

Answer:

7 is the smallest number making it the closest to the x- axis.

Step-by-step explanation:

Subtract -21 from 30

Answers

Answer:

-9

Step-by-step explanation:

yu subtract 21 from 30 and and just add a negative before the answer

evaluate (11.6)^2 by using (a^2+b^2+2ab)​

Answers

Answer:

[tex]134.56[/tex]

Step-by-step explanation:

Break 11.6 into addenda.

[tex](11 + 0.6)[/tex]

Apply the binomial expansion method.

[tex](11 + 0.6)(11 + 0.6)[/tex]

[tex]11 {}^{2} = 121[/tex]

[tex]2(11)(0.6) = 13.2[/tex]

[tex]0.6 {}^{2} = 0.36[/tex]

Add them all up and you get.

[tex]134.56[/tex]

Answer is on the bottom

how to solve by factoring
x^2 + x = 0

Answers

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

1.1.4 practice scale drawing

Answers

Answer:

Question Unclear

Step-by-step explanation:

Is this relating to your topic?

1.1.4 Practice: Scale Drawings

Practice

Math 7 Sem 2

Points Possible:5

Name:

Date:

Tips for Success

Read the assignment carefully and make sure you answer each part of the question or questions.

Check your work when you're done.

Your Assignment

Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.

Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.

Adam says he knows another way.

Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.

1. What is the area of the board shown on the scale drawing? Explain how you found the area.

Write your answer in the space below.

2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.

Write your answer in the space below.

3. What is the area of the actual electronics board?

Write your answer in the space below.

PLEASE HELP PLEASE (dont do links)

Answers

Answer:

B

-2(0)²+24(0)-54

= -54

Answer:

I think its C

Step-by-step explanation:

y intercepts (0,-54)

A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:

Answers

C an you po at a pi c tire of it please

How many miles will light travel in one day if the speed of light is 300,000,000 meters per second.
(1.62 km = 1 mi)

Answers

Answer:

[tex]d=1.61\times 10^{10}\ miles[/tex]

Step-by-step explanation:

Given that,

The speed of light, v = 300,000,000

eWe need to find the distance light travel in 1 day. We know that,

1 day = 86400 seconds

Distance = speed × time

So,

[tex]d=3\times 10^8\times 86400[/tex]

[tex]d=2.592\times 10^{13}\ m[/tex]

or

[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]

So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].

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