Mathematics College

Its says in question 4 tue horizontal translation is A right.?

Answers

Answer 1

Answer:

Here we have:

g(x) = 3*f( 2*x - 2) - 1

We want to know the horizontal translation used here.

We need to discuss two types of transformations here.

horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

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

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

Horizontal dilation.

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

g(x) = f( x/k)

You can see that in our function we have both of these transformations.

Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have

translation:

g(x) = f(x + N)

and now a horizontal dilation of scale factor k

g(x) = f( (x + N)/k)

Then we must have that the argument of the above function is the same as the argument of the given function.

(x + N)/k = 2*x - 2

then:

k = 1/2

(x + N)/1/2 = 2*x + 2*N = 2*x - 2

2*N = -2

N = -2/2 = -1

This means that we have a translation of 1 unit to the right.

Related Questions

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)

Answers

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

68% confidence level

So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

What is the p-value?

The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.

In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.

[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]

where z has a p-value of 1-[tex]\alpha /2[/tex]

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

n = 100, [tex]\pi[/tex] = 20/100 = 0.2

So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]

z = 0.995

The lower limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]

The upper limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]

Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

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You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?

Answers

If its 6% interest a year. In 6 months that 3% interest.
$15 in 6 months
500 + $15
$515

A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?

Answers

113.60

that’s the answerrrr

Solve for x. -4.5 = -0.5(x – 7.1)

Answers

Answer:

16.1

Step-by-step explanation:

Answer:

I believe the answer is x = 16.1

Step-by-step explanation:

The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.

To the nearest tenth of a meter, what will be the height of the scale model?

Answers

Step-by-step explanation:

Height of real/height of scale=ratio of scale

193/x=75/1

x=2.6

Hope that helps :)

there are 6 rows of chairs 4 rows are empty

Answers

Answer:

then only 2 rows are full

Step-by-step explanation:

im confused but if thats it then thats the answer if im right mark me brainliest

13.068 the same as 13.608

Answers

Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068

what is the total of 8 and 4 times y

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

Can somebody explain how I'm supposed to do this??

Answers

Answer:

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

If you have $2000 and you made an investment that cost $400 and it gives back 1000 how much

Answers

Answer:

you made 600 profit

Step-by-step explanation:

2000-400=1600

1600+1000=2600

2600-2000=600

Answer: 2600

Step-by-step explanation:

2000 - 400 = 1600 + 1000 = 2600

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?

Answers

Step-by-step explanation:

Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]

Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].

Finally when we add the last 2 terms together we get our answer of 32.

Hope this helps!

The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.

Answers

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

Helppp meeeee plssss I would me the world

Answers

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:

Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.

Answers

Answer:

$6,800

Step-by-step explanation:

The interest earn after 5 years will be $6800.

It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.

We have to find out the interest earn.

What do you mean by interest ?

Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.

As per the question ;

Investment made by Huang = $720 for five years

At end of five years , account balance = $50000.

So ;

Five years = 60 months

and the investment is an annuity every month for five years.

If Huang invests $720 every month for 5 years then total investment is ;

= $720 × 60

= $43200

And account balance at end of 5 years = $ 50000

So ;

Interest earn will be ;

= $50000 - $43200

= $6800

Thus , the interest earn after 5 years will be $6800.

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What must be true in order to find a sum for an infinite geometric series?

Answers

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?

Answers

1,120 this is the answer

Answer:

7.8 months but you can round it to 8 months

Step-by-step explanation:

Help me with this question please!

Answers

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

Someone please help! I dont understand

Answers

Answer:

i willl help on all three if u help on my chemistry problems

How many triangles can be constructed with angles measuring 110°, 50°, and 20°?

0

1

more than one

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...

more than one

PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?

Answers

Answer:

Yes, she has 80 more inches

Why?

Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.

She has 80 more.

Hope it helps :)

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?

4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?

How do you use coordinates to find the perimeter and area of polygons?

Answers

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

please help me out on this..............

Answers

Answer:

Option #2: 32 ÷2

Step-by-step explanation:

Take Note: There are 2 cups in a pint.

Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.

Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.

In the end, you should have gotten option 2 which is 32÷2.

HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

Step-by-step explanation:

you would do 3+3+3 because there are 3 colors

And i just got it right on my quiz.

There will be 9 branches in the tree diagram of the situation.

What is tree diagram?

In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.

Given,

A spinner of three sections colored green, purple and pink.

Number of outcomes = 3

spinner is spun twice,

then number of outcomes = 3 × 3 = 9

Number of branches in tree = 9

Hence, 9 branches will be there in probability tree diagram.

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