Find the inverse function of f(x)=15x-1

Answers

Answer 1

Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1            +1

f(x) + 1 = 15x

/15         /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15


Related Questions

Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our

Answers

Given:

Initial pay rate = $8.50 per hour

Increase in pay rate = $0.75 per year

To find:

The equation that represents the relationship between years on the job and pay for hour.

Solution:

Let x be the number of years and y be the pay rate after x years.

According to the question,

Increase in pay rate in 1 year = $0.75

Increase in pay rate in x year = $0.75x

So, variable pay rate = $0.75x

Initial pay rate = $8.50

So, the total pay rate is

Total pay rate = Initial pay rate + Variable pay rate

[tex]y=8.50+0.75x[/tex]

Therefore, the required equation is [tex]y=8.50+0.75x[/tex].

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?

Number of Games Played
20%
20%
20%
20%
20%


16
18
20
24

Answers

Answer:

I think the answer is 20

Answer:

C: 20

Step-by-step explanation:

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

How would i know if a line on a graph has passed the vertical line test?

Answers

Answer:

The vertical line will only pass the graph line once.

Step-by-step explanation:

For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.

Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!


To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Please answer this there is a link to the photo

Answers

Answer:

588

Step-by-step explanation:

In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.

So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².

We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.

This my last question I need help plz

Answers

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Answers

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

what is
(5x+7)-(x+2)

Answers

Answer:

4x+5

Step-by-step explanation:

5x+7-x-2

5x-x+7-2

4x+5

Answer:

4x+5

Step-by-step explanation:

its math I guess, combining like terms and all that

Find the slope of the graph​

Answers

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

WAIT i think we’re doing the same assignment

Find the dot product of the given vectors.
u= -5i + 3j
v=3i + 4i

Answers

Answer:

[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]

Step-by-step explanation:

The dot product of vectors.

Given two vectors a and b in their rectangular form:

[tex]\mathbf{a}= a_x\mathbf{i}+a_y\mathbf{j}[/tex]

[tex]\mathbf{b}= b_x\mathbf{i}+b_y\mathbf{j}[/tex]

The dot product of the vectors is a scalar with value:

[tex]\mathbf{a}\cdot \mathbf{b}=a_x.a_y+b_x.b_y[/tex]

The given vectors are:

[tex]\mathbf{u}= -5\mathbf{i}+3\mathbf{j}[/tex]

[tex]\mathbf{v}= 3\mathbf{i}+4\mathbf{j}[/tex]

Calculating the dot product:

[tex]\mathbf{a}\cdot \mathbf{b}=(-5)(3)+(3)(4)=-15+12=-3[/tex]

[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]

The points ​(4​,16​) and ​(−4​,−16​) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of​ a?

Answers

Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values

any more help just ask :)

in ACE, G is the centroid and BE = 9. find BG and GE ​

Answers

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

What is centroid?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

Learn more here:

brainly.com/question/12549436

#SPJ2

What is the slope of a like perpendicular to a line with a slope of 0

Answers

Answer:

0

Step-by-step explanation:

Dont take my word for it but I think it should be 0      

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink?

Answers

Answer:

$3.8

Step-by-step explanation:

What is the cost of a medium drink?

Let medium drinks = x

Large popcorn = y

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85...Equation 1

y = 13.85 - 2x

At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.

3x + 2y = 23.90.... Equation 2

Substitute y = 13.85 - 2x

3x + 2(13.85 -2x) = 23.90

3x + 27.7 - 4x = 23.90

3x - 4x = 23.90 - 27.7

-x = -3.8

x = $3.8

Since x = medium drink, the cost of a medium drink = $3.8

Factors of 49 that add to 14

Answers

Answer: (7, 7)

Explanation: To get to 49 and 14, you only have one option.

7+7=14

7*7=49

Which ratio forms a proportion with 1442? Bruh I will give y’all points and brainlesst

Answers

Answer:

7/21

Step-by-step explanation:

14/42 is 7/21 in another form

what is 1+1? pls dont hate on me

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

Its 2

Step-by-step explanation:

Thank you for the points

A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of​ surface, how much paint is needed to put two coats of paint on the entire surface of the​ tank?

Answers

Answer:

Approximately 11 gallons of paint

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats

In the first week of June, a restaurant sold 10,345 omelets. In the second week, 1,096 fewer omelets were sold than in the first week. In the third week, 2 thousand more omelets were sold than in the first week. In the fourth week, 2 thousand fewer omelets were sold than in the first week. How many omelets were sold in all in June? *

Answers

Answer:

40, 284 omelets

Step-by-step explanation:

Given that:

In the first week of June = 10345 omelets were sold

In the second week = 1096 fewer omelets are sold than in week one

i.e.  10345 - 1096 = 9249 omelets

In the third week = 2000 more were sold than week one.

i.e. 2000 + 10345 = 12345 omelets

In the fourth week = 2000 fewer omelets were sold than week one.

i.e. 10345 - 2000 = 8345 omelets

Thus, the total quantity of Omelet sold in the month of June is:

= (10345 + 9249 + 12345 + 8345) omelets

= 40, 284 omelets

how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?​

Answers

10 or u could do 25 divided by 2.5 is 10

‼️PLEASE HELP!! ASAP‼️Find the missing side

Answers

Answer:

10.5

Step-by-step explanation:

The answer is: 10.5

Because 6 is 3/4 of 8 so that means that we had to find 3/4 of 14

please help asap because this was due a month ago

Answers

516.44 I think that’s the answer

Answer:

D

Step-by-step explanation:

use a calculator next time

3/4 divided by 1/5


HELPPP

Answers

Answer:

3.75

Step-by-step explanation:

3/80 as a fraction maybe

3 3/4 as a mixed fraction

Find the midpoint between 5-2i and 7+6i

Answers

Answer:

6+2i

Step-by-step explanation:

(5+7)/2 = 6

(-2+6)/2 = 2

Try to solve this if you can​

Answers

Answer:

22

Step-by-step explanation:

f. 24-(5-9+18)÷7

24-(14)÷ 7

24 - 2 = 22

hope it helps.....

Step-by-step explanation:

F. = 24-(23-9)/7

=24-14/7

=24-2

=22

g. soln:

let, the quantity be x

Now,

8% of x = Rs.640

or, 8/100*x=Rs. 640

or, 8x\100=Rs.640

or, 8x=Rs.640*100

or, x= 64000/8

x=8000

help pls im stuck thank u guys

Answers

Answer:

The answer is 36.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

First, divide 108 by 12.

The result is 9.

Now square root 9.

The result is 3.

Now, multiply 12 by 3.

The result is 36.

To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Will give the brainliest to the person who answers the question first and correctly!!

For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?

Round to the nearest tenth.

A. 4.1

B. 20.5

C. 16.4

D. 4.5​

Answers

Answer:

D. 4.5​

Step-by-step explanation:

Select the correct locations on the graph

select the lines that represent functions

Answers

Step-by-step explanation:

Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.

The lines outlined in a black box are the correct answers.

Answer:the other person is right

Step-by-step explanation:

I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.

Answers

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

1. Factorize :
(a) 2x + 6


Answers

Answer:

2(x+3) is the correct answer

Step-by-step explanation:

2 × x=2x 2×3=6

2x+6

2(x+3)

Answer:

2x=6/:2

x=3

that's the answer

Other Questions
50% of _= 2help!!! thanksssss NEED HELP WITH HOMEWORK!!!The mutation that causes sickle cell is:1. deletion2. Addition3. substitution4.Unpoint what is the mean absolute deviation of the numbers in the list?32, 43, 38, 28, 51A. 34.4B. 6.88C. 38.4D. 7.68 How did the discovery of the postholes affect theories about the pyramids?A. The discovery revealed that the pyramids were constructed on much steeper angles than archaeologists had previously believed.B. The discovery led archaeologists to consider that ancient Egyptians used more advanced methods of construction than previously believed.C. The discovery forced archaeologists to re-evaluate their translations of the ancient Egyptian inscriptions, which they had previously believed to be correct.D. The discovery helped archaeologists to make connections between the reigns of Tutankhamun and Khufu, which they had previously believed to be unrelated a nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $16.45. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass? Which of the following is the additive identity for rational numbers?Choose 1 answer:A. Reciprocal of the numberB. 0C.1D.Negative of the number which eletromagnetic waves have the lowest frequency radio waves micro waves x rays or gamma rays describe chalenges related with a molecular clock How did nationalism contribute to the start of World War I? Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need? A jar contains 24 blue marbles 16 red marbles and 14 white marbles find the simplified ratio of total marbles to red marbles Write an equation in slope-intercept form that represents the data. Show ALL work.1.)012Sales perday(x)Daily pay ($), y10010511011511212IEquation The EPA tracks the amount of DDT that has entered into our water systems to ensure water safety. Calculate the ppm for a solution made by putting 2.7 g of DDT into a 59000 g of water. Assume masses are additive a. 46 ppm b. 0.0046 ppm c. 4.6 ppm d. 4.6 x 10^-5 ppm if x = 1/2 when y = 36 what id x when y = 144 need help I dont understand this. What 2 inventions changed life for Egyptians in the Middle Kingdom? Explain how these inventions impact daily life Russell United has 28,500 shares of stock outstanding and has two open seats on its board of directors. Each share of common stock is granted one vote. How many additional votes are required to guarantee a seat on the board if the company were to use straight voting rather than cumulative voting a summary paragraph of popular music in Algeria What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degreeANSWER IS 150 DEGREES i) Predict which of the liquids would cause the largest decrease in mass of a potato stickPLS HELP ME Ill GIVE YOU 15 POINTS OR BRAINIEST