how to horizontally stretch a cubic fucnction

Answers

Answer 1

Answer:

Steps for How to Transform the Graph of a Cubic Function

Step 1: The standard form of a cubic function is y=a(x−h)3+k y = a ( x − h ) 3 + k , where a indicates a stretch or a shrink, h indicates a vertical shift, and k indicates a horizontal shift.

Step-by-step explanation:


Related Questions

Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.

Answers

Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

Can somebody help me please

Answers

2.5 x 13.7/ 4.9 + 1.6= 34.25/ 6.5 ≈ 5.27...

Exact answer: 34.25/6.5

Answer:

[tex] \frac{34.25}{6.5} [/tex]

We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."

Answers

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

I NEED HELP FAST PLS

Answers

Answer:

234 feet cubed

Step-by-step explanation:

6 1/2 * 8 = 52

52 * 4 1/2 = 234

15 POINTS PLEASE HELP ME

Answers

Answer:

<QRS = 40 degrees

Step-by-step explanation:

Supplementary angles are 180 degrees therefore if angle ABC is 140 degrees that would mean that angle QRS has to be 40 degrees.

Hope this helped!

Have a good day!

Write the number 4,207 in expanded form

Answers

Answer:

That's easy! four thousand two hundred and seven or 4,000+200+7

Step-by-step explanation:

Correct Answer= Brainliest

Answers

Answer:

49

Step-by-step explanation:

Convert the dot plot into numbers

40, 40, 40, 45, 45, 50, 55, 55, 60, 60

Add all together

40+40+40+45+45+50+55+55+60+60 =490

Divide by amount of numbers there are

Amount of numbers = 10 --> 490/10 = 49

Mean = 49

Given the relation x = y 2 − 1, identify the x- and y- axis intercepts.

Answers

Intercepts X = (-1,0) And Intercepts Y = (0,-1)

A light bulb consumes 5400 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?

Answers

We are given:

Time period: 3 days and 18 hours

Energy consumed in given time period: 5400 watt-hours

Converting time to hours:

We know that one day is 24 hours

So, 3 days = 72 hours

Time period = 3 days + 18 hours

Time period = 72 hours + 18 hours      

Time period = 90 hours

Converting to days

Time period = 3.75 days

Watt-hour consumption in a day:

Consumption = 5400 watt-hours / 3.75 days

Consumption = 1440 watt-hours/day


I need help finding the median :)

Answers

Answer:

15

Step-by-step explanation:

speeeed brainlest
eeee

Answers

The answer is 3 3/8. You’re welcome :)
3 3/8 is what you could put since there is three fully colored and only 3 colored on one and there is 8 boxes

Please help - How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?

Answers

Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

What is depreciation?

Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.

What is asset and liabilities?

Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.

The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:

£2550 - (0.05 * x) < £1200

where x is the number of months.

You can re-arrange the equation to solve for x:

x > (2550 - 1200) / 0.05

x > (1350) / 0.05

x > 27

So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

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Abigail goes to a restaurant and the subtotal on the bill was x dollars. A tax of
6% is applied to the bill. Abigail decides to leave a tip of 22% on the entire bill
(including the tax). Write an expression in terms of x that represents the total
amount that Abigail paid.

Answers

Answer:

Step-by-step explanation:

Total after tax:

x(1+0.06)

x(1+0.06)

x(1.06)

x(1.06)

1.06x

1.06x

{Total after tip:}

Total after tip:

1.06x(1+0.22)

1.06x(1+0.22)

1.06x(1.22)

1.06x(1.22)

1.2932x

1.2932x

6. Name the polygon. Write whether it is regular
or not regular

Answers

Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Which of the following would not be an example of a compound event?
(1) having a coin land on heads three consecutive times
(2) pulling a king out of a deck of cards
(3) missing two free throws in a row
(4) answering four true/false questions correctly by guessing

Answers

The only option that is not a compound event is; (2) pulling a king out of a deck of cards

How to identify a compound event?

Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.

Thus, a simple event has only one outcome while  a compound event involves the probability of more than one outcome

1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome  and so this is a compound event.

2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.

3) This is a compound event because we are dealing with two independent probabilities.

4) This is a compound event because we are dealing with two independent events which are true or false answers.

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The temperature is dropping at a rate of five degrees per hour.
Let d represent the number of degrees the temperature drops.
Lett represent the number of hours that pass.
Which is the independent variable?
the number of hours
the number of degrees the temperature drops
the rate at which the temperature drops
the day of the week

Help me plz I’ll give Brainlyest

Answers

Answer:

the rate at which the temperature drops

the day of the week

Step-by-step explanation:

Since we can choose the number of hour, it is dependent on us.

If we set time = 2, then it would 5 x 2 = 10 degree

Similarly, if we change time, the temperature changes. Thus, it is dependent.

Temperature is dropping at a rate of five degrees per hour.

If t = 1, T = 5*1 = 5°, rate = 5

if t = 2, T = 5*2 = 10°, rate = 5

if t = 3, T = 5*3 = 15°, rate = 5

Notice that rate doesnt change, even the temperature and time changes.

Thus, rate is independent.

Why is the discriminant a useful tool to use when solving quadratic equations?

Answers

The discriminate determines how many roots the quadratic contains. The formula is: d=b²-4ac, where a, b, and c are derived from ax²+bx+c=0. When solving for the discriminate, the properties consist of:

If d>0, the the quadratic has 2 real solutions

If d=0, the quadratic has one (repeated) solution

If d<0, the quadratic has no real roots.

You must plug d in for these inequalities to determine which one is true, and that will tell you how many solutions a quadratic contains.

find the test statictis

Answers

Answer:

5

Step-by-step explanation:

29. For all values of X,
x^2+2x+4 = (x + 2)^2 + a(x+2) + b,
where a and b are constants. What is the value
of a?
(A) -2
(b) - 1
(c) 0
(d) 1​

Answers

The answer is b I hope this helps

Your parents allow you to borrow a car to get to your part-time job, but you have to pay for a tank of gas each month. Gasoline costs $2.76/gallon and the tank takes 15 gallons. You have 2 coworkers who are each willing to pay for a quarter of a tank each month to carpool with you to work. How much do you save each month?


$16.46


$20.70


$15.91


$18.55

Answers

20.70 is your answer

Solve for x and show your steps. Is the solution extraneous? Check your work to show how you extraneous or not.
1 1x + 5 = 7

Answers

For the given issue, x has a value of 4. The offered solution is the solution extraneous .

What does the mathematical concept of superfluous mean?

When we solve equations, we often obtain values that aren't actually the answer to the equation.

What makes an equation unnecessary?

A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.

According to the given information:

√(11x + 5) = 7

(11x + 5) = 7²

11x + 5 = 49

11x = 49 - 5

11x = 44

x = 4

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In 2012, the population of Cincinnati, Ohio, was 296,550 with a population density of approximately 3800 people per square mile. What is the approximate land area of Cincinnati in square miles to the nearest whole number?

Answers

Answer:

≈ 78mi^2

Step-by-step explanation:

To find approximate land area:

296,550/3,800 = 78.039

Round to nearest whole number:

Area = 78

A company that makes fasteners has government specifications for a self-locking nut. The locking torque has both a maximum and minimum specified. The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb. Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits

Answers

Answer:

97.95% of these nuts will meet the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.

This means that [tex]\mu = 8.62, \sigma = \sqrt{4.49}[/tex]

Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?

The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So

X = 13

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a p-value of 0.9808.

X = 2.25

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.25 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = -3.01[/tex]

[tex]Z = -3.01[/tex] has a p-value of 0.0013.

0.9808 - 0.0013 = 0.9795

0.9795*100% = 97.95%

97.95% of these nuts will meet the specification limits.

find quotient 5/4 divided by 13/12

Answers

Answer: 1.15384615385

Step-by-step explanation:

divide

The dot plot shows 20 students’ scores on a quiz in English class.
If one student from the class is chosen at random, what is the probability that he or she scored more than 15 points on the quiz?
A. 25
B. 35
C. 18
D. 112

Answers

The answer is 18 which is C

Drag each question to the correct location on the table.

Classify the questions as statistical or not statistical.

Answers

Each of the questions should be correctly classified as statistical or not statistical as follows:

Not statistical question: "How many hours did I jog yesterday?"Not statistical question: "How many students in my class can swim?"Not statistical question: "How many students in my class watch television?"Statistical question: "How many hours a day do the students in my class watch television?"Statistical question: "How many TV shows did each student in my class watch yesterday?"Statistical question: "How many days a week did each student in my class go swimming in the last month?"

What is a statistical question?

In Mathematics, a statistical question can be defined as a type of question in which the resulting answer is in the form of an average, percentage, or a range such as "How many TV shows did each student in my class watch yesterday?"

What is a non-statistical question?

A non-statistical question simply refers to a question that is not non-statistical and it can be defined as a type of question which has an exact or fixed answer such as "How many students in my class can swim?"

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Solve for X

Pls help

Answers

Answer:

xxxtentacion=6&20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The sum of any two intieior angles in a triangle equal to the opposite angle.

So 30 + 5X + 15 = 9X - 3

Solving for X

48 = 4X

X = 12

Help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

5.5; 11.00; 16.50

[tex]E = 5.5h[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): Complete the table

First, calculate the slope (m)

[tex]m = \frac{E_2 - E_1}{h_2 - h_1}[/tex]

So:

[tex]m = \frac{27.5- 22.00}{5-4}[/tex]

[tex]m = \frac{5.50}{1}[/tex]

[tex]m = 5.50[/tex]

So, the equation of the table is:

[tex]E = m(h - h_1) + E_1[/tex]

[tex]E = 5.5(h - 4) + 22[/tex]

[tex]E = 5.5h - 22 + 22[/tex]

[tex]E = 5.5h[/tex]

When h =1,2,3

[tex]E = 5.5 * 1 = 5.5[/tex]

[tex]E = 5.5 * 2 = 11.00[/tex]

[tex]E = 5.5 * 3 = 16,50[/tex]

Mieko said that the difference between the longest rose and the shortest rose is 1 inch. Is she correct?
Use the drop-down menus to show and explain your answer.
Mieko is Choose
The longest rose is
Choose:
inches, and the shortest rose is
Choose...
So, the difference is
Choose...
inch
Review progress
Question 7
of 7
Bac

HELP WHO EVER SNSWERS FIRST I WILL MARK BRAINLYEST

Answers

Answer:

Step-by-step explanation:

lol no

can you help me for this math? ​

Answers

Answer:

3

Step-by-step explanation:

27-6=7q

21/7=q

3=q

hope it helps

27 = 7q + 6

=> 27 - 6 = 7q

=> 21 = 7q

=> 21/7 = q

=> 3 = q

So, q = 3.

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