Mathematics College

Find f-1(x), if f(x) = 3x – 6. Justify your
reasoning with math calculations and/or a written
explanation.

Answers

Answer 1
Answer: 1/3 (x + 6)

Explanation: given f(x) = 3x - 6.
Let y = f(x) and so y = 3x - 6.
Trade places between x and y.
x = 3y - 6
Solve for y
x + 6 = 3y
y = x + 6/3
Now the new y is the inverse and so y = f-1(x)
f-1(x) = 1/3(x + 6)

Related Questions

Find the indicated values by using the table.

X= g(x)=2x+1

Answers

Answer:

g(10) = 21

g(0) = 1

g(10) = 21

g(22) = 45

g(28) = 57

g(16) = 33

Step-by-step explanation:

g(x) = 2x + 1

Then in order to find g(10), replace x over 10

g(10) = 2(10) + 1

g(10) = 20 + 1

g(10) = 21

so g(10) = 21

keep doing this to all of the problems and it should be answered the same way.

Find the value of x.

Answers

calculate the formula of the triangle and then use pythagoras thereom to solve the values according to their sides

Don't forget to thank me later

We need to find the scale factor for this which will give us how much the triangle was scaled down.
We can find this out by doing 8/12 which is simplified to 2/3.

We can check this is correct because 12 x 2/3 gives us 8.
So now we do 15 x 2/3 = 10

This means x - 4 = 10
x = 14

The prices of a 32-ounce
container of yogurt at three different grocery stores are
$4.49, $3.99, and $4.29, respectively. Find the average
price for the container of yogurt.

Answers

Answer:

9.77 i think

Step-by-step explanation:

add up all prices then subtract by three i think

Answer:

93 is the correct answer

A) AAS
B)ASA
C)not enough information
D) SSS

Answers

A) AAS I think not sure

How many phone numbers without area codes are possible? the first digit cannot be zero or one.

Answers

Ok guys, let me explain in a way you can understand.

let’s say there’s 7 blanks :

_ _ _ _ _ _ _

the first can’t be 0 or 1 so that means that it can be 2,3,4,5,6,7,8,9 which is 8 numbers

Now we have settle what the first digit can or can’t be, there are 6 numbers left.

Because there are no more restrictions for phone numbers that don’t work (first digit can’t be one or zero was the only restriction), the question then becomes : How many 6 digit numbers are possible (000000) can count , well we know that the biggest 6 digit number is 999999 and the smallest is 000000. That means there are 999999–000000+1 numbers between them inclusive. For those of you that are curious how I got the plus one, when you are counting the amount of numbers between let’s say a and b inclusive, the amount of numbers between them inclusive is |a-b| +1. Example : The amount of numbers between 2 and 13 inclusive is just |2–13|+1 which is 12. 2,3,4,5,6,7,8,9,10,11,12,13 is 12 numbers so |a-b|+1 works for the amount of numbers between a and b inclusive.

Anyways, back to the problem. 999999–000000+1 means there are 1000000 or 1 million possible 6 digit numbers. But that’s not the answer to the problem because each 1 of those 1 million 6 digit numbers needs a 7th digit which and be any number from 2–8 . This means that you need to multiply 1000000 by 8 to get 8 million possible phone numbers. If your wondering why I multiplied by 8, let’s say the number abcdef is one of the possible 6 digit numbers. If you add a 7th digit 2–9 to our number abcdef, then our number abcdef can be 2abcdef, 3abcdef, 4abcdef, 5abcdef, 6abcdef, 7abcdef, 8abcdef, 9abcdef.

Just a quick side note for any misconceptions, when I say the number abcdef, I don’t mean a times b times c times d times e times f, I mean a is the number in the hundred thousands place, b is the number in the 10 thousands place, c is the number in the thousands place, d is the number in the hundreds place, e is the number in the tens place, f is the number in the ones place.

Back to the problem, because there are 8 possible numbers for the 7th digit (AKA the first number in the phone number) you need to multiply the 1000000 different 6 numbers by 8 because each of those numbers has 8 variations.

In summary, there are 8*1000000 or 8 million different phone numbers whose digits aren’t 0 or 1

evaluate: 16^1/2 x 2^-3

Answers

Answer:

64

Step-by-step explanation:

16^1

---------------------- = 64

2 x 2 - ^3

Apply exponent rule

16^1 = 16

= 16

------------------

2x2 - ^3

16 = 2x 8

2 x 8

-----------

2 x 2 - ^3

Cancel the common factor <2>

8

---------

2-^3

Factor the number 8 = 2^3

2^3

----------

2-^3

Apply exponent rule.

= 2^3 - (-3) = 6

3- (-3) = 6

= 2^6

2^6 = 64

64 is the answer

Answer:

0.5

Step-by-step explanation:

[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]

[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]

[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]

[tex] \frac{1}{ 2} [/tex]

Determine the number of terms n in each arithmetic series

a1 = -29, an = -119, Sn = -740

Please help :,(

Answers

n=the number of terms, so I believe the answer is 10

Show your solution follow the steps
need an answer, please need an answer, please.​

Answers

Answer:

after calculating I got this answer.

hope this answer helps you dear...take care

Does anyone know this?

Answers

Answer:

Simple as 3x + 1

The answer above is correcttttttt

solve pls branliest!

Answers

Answer:

2004-(-185)=2189

-185+469=284

Step-by-step explanation:

I double checked them

Answer:

A. 3 is 1,819 feet lower than 5

B.284

Step-by-step explanation:

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$69. A season ski pass costs ​$350. The skier would have to rent skis with either pass for ​$25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty

Answers

Divide the season pass cost by the daily capstone:

350 / 69 = 5.07

They would have to ski 6 days for the season pass to be less expensive

what is the sum of 71/5 + 2 4/5 = N
A.9 5/5
B. 10
C. 10 5/5
D. 9 1/2​

Answers

Answer:

A

Step-by-step explanation:

71/5 + 24/5 = N

Since the denominator is the same for both values, we can add them together.

71+24 / 5 = 95/5

We can prove this since 71/5 = 14.2 and 24/5 = 4.8

14.2 + 4.8 = 19

95/5 = 19

please help.... fast​

Answers

Answer:

HL

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.

I'm confident that this is the answer.

Don’t answer on this or ur sus

Answers

>:)

heheheheheheheherhehehehreh

Please help, the question is in the photo

Answers

Answer:

38.3 miles per gallon

Step-by-step explanation:

if you divide the miles driven by the gallons used you get 38.3

689.4 / 18 = 38.3

1263.9 / 33 = 38.3

1570.3 / 41 = 38.3

In one season a basketball player missed 45% of her free throws. How many free throws did she attempt if she made 176 free throws?

Answers

Step-by-step explanation:

she missed 45%, so that means she made 55% of her free throws.

and these 55% correlate to the absolute number of 176 successful throws.

so,

55% = 176

1% = 55%/55 = 176/55

100% = 1%×100 = 176×100/55 = 320

so, she attempted 320 free throws in total.

if carl runs 4 laps in 18 minutes, how many laps can he run in 1 1/2 hours

Answers

Answer:

20 laps

Step-by-step explanation:

18 divide by 4 = 4.5

so 1 lap equals 4.5 minutes

and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps

He can run 20 laps.

90 minutes is 1 1/2 hours
We setup the equation to solve:

4/18=x/90

Solve for x by isolating and then cross multiply.

2/9=x/90

Cross multiply,

180=9x

Swap sides,

9x=180

Divide both sides by 9

X=20 :)

A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?

Answers

The original price was $500
First we find 15% of what is $75
15/100 x N =$75
n = $7500/15
n = $500

3 with an exponent -5

Answers

Answer:The answer would be 1/243

———————————————

In decimal form is would be: 0.00411522 . . .

Answer: 1/243

Step-by-step explanation:

3^-5=  1/(3^5) = 1/ (3*3*3*3*3) = 1/243

Use the associative property to simplify the expression 50 + 20 + 37​

Answers

Answer:

(50+20) +37=70+37=107

Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?​

Answers

Answer:

Volume of water would be 12,200,000 m^3

Step-by-step explanation:

hope that helps :D

Was the HOA president right for doing so? What other factors could have contributed to both the rise in ice cream sales and murders? Is this an example of correlation or causation?

Answers

Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

Hope this helps! <3

Have a nice day/night!

Find the radius of the circle.
3(x – 5)^2 + 3(y + 9)^2 = 48
(?,?)​

Answers

Answer: radius = 4

Step-by-step explanation:

The equation of circle is [tex](x - h)^{2} +(y - k)^{2} =r^{2}[/tex]

So [tex]3((x-5)^{2}+ (y+9)^{2} )=48[/tex]

[tex](x-5)^{2}+(y+9)^{2}=16[/tex]

So [tex]r^{2} = 16[/tex]

[tex]r=4[/tex]

Please give me a brainliest answer

Hey , help maybe please thanks<3?

Answers

Answer:

48 fluid ounces= 3 pints

Answer:

3 pints

Step-by-step explanation:

[tex]48 \: fl \: oz \: \div \frac{8 \: fl \: oz}{cup} = 6 \: cups[/tex]

[tex]6 \: cups \: \div \frac{2 \: cups}{pint} = 3 \: pints[/tex]

solve pls brainliest

Answers

39.2
give brainless thanks
Answer above is correcttttttt

if a=2,b=1 and c=1 than evalute ab+bc​

Answers

Answer:

3

Step-by-step explanation:

2x1+1x1

Answer:3

Step-by-step explanation:

(2)(1)+(1)(1)

2+1

=3

What is the equation of a line that passes through the points (6,-4) and (1,6)

Answers

Answer: y = -1/2x + 8

Step-by-step explanation:

Answer: Y=-1/2x+8

Step-by-step explanation:

You have to divide

z i = -5 3 , có R 1 1 e z z = 5, Im 3 = -

Answers

Your answer will be 2m

Please help me I need this done

Answers

Answer:

I will help you but question is not clear

Once the high temperature was 30°F. Then at night the temperature dropped by 23 degrees. does the expression 30 + (-23) mean the temperature at night? explain.​

Answers

Answer:

7°

Step-by-step explanation:

simple arithmetic duh

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