Find the inverse of f(x) = e^x + 7

Answers

Answer 1

Answer:

f^-1(x) = ln(x - 7)

Step-by-step explanation:

f(x) = e^x + 7

y = e^x + 7

x = e^y + 7

e^y = x - 7

ln(e^y) = ln(x - 7)

y = ln(x - 7)

f^-1(x) = ln(x - 7)


Related Questions

GEOMETRY HELP WILL MARK BRAINLIEST

Answers

Answer: the answer is 77 degrees

Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)

what is the product of 4/5 × 2/5​

Answers

Answer:

8/25

Step-by-step explanation:

4/5 *2/5

Multiply the numerators

4*2 = 8

Multiply the denominators

5*5 = 25

8/25

Answer:

The answer would be 8/25 or 0.32

What is the answer to this question 3 x 1/5 =?

Answers

Answer:

.6

Step-by-step explanation:

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?

Answers

Answer:

please give more clarification

Answer:

33680

Step-by-step explanation:

Can someone help me with these

Answers

Answer:

Problem 2) : the gradient is "-2", and the y-intercept is "3"

Problem 3)

A is  [tex]y=2x+2[/tex]

B is [tex]y=x+2[/tex]  

Step-by-step explanation:

Problem 2)

In the line given by the equation:   [tex]y=-2x+3[/tex]

the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"

the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0

[tex]y=-2x+3\\y=-2\,(0)+3\\y=3[/tex]

Problem 3)

Consider the two lines :

[tex]y=x+2[/tex]  and  [tex]y=2x+2[/tex]

notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.

Now notice that the gradient of one of them is "1"  (for [tex]y=x+2[/tex] ) that is the coefficient that multiplies the variable "x". While for the other line ( [tex]y=2x+2[/tex])  the gradient is "2" and therefore steeper than the previous one.

Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation   [tex]y=2x+2[/tex], and the line identified with "B" is the one with smaller gradient  [tex]y=x+2[/tex]  .

Find the value of n (-2/3)^4 ÷ (-2/3)^3 = (-3/2)^n

Answers

Answer:

Left side simplifies to (-2/3)^1 and the right side simplifies to (-2/3)^(-n) which means 1 = -n so n = -1.

The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven

in fact, there is more than one way to arrange the numbers in such a way in the circle. Determine all different arrangments. Note that we will consider two arrangments to be the same if one can be obtained from the other by a series of reflections and rotations

Answers

Answer:

[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Re-state the problem in an easier way to set up a permutation problem

"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"

The series above can be represented again, in form of:

7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1

with a, b, c, d, e, f are non-negative integers.

=> 3 numbers are multiply of 7 plus 1

=> 3 numbers are multiple of 7 minus 1

Step 2: Perform the counting:

For the 1st number, there are 6 ways to select

To satisfy that each pair of numbers creates a multiple of 7, then:

For the 2nd number, there are 3 ways left to select

For the 3rd number, there are 2 ways left to select

For the 4rd number, there are 2 ways left to select

For the 5th number, there are 1 way left to select

For the 6th number, there are 1 way left to select

=> In total, the number of possible ways to select:

N = 6 x 3 x 2 x 2 x 1 x 1 = 72

However, these numbers are located around a circle, each option is counted twice.

=> The final number of possible ways:

N = 72/2 = 36

Hope this helps!

:)


Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (negative 3, 0) and (negative 1, 4).
The rate of change shown in the graph is .

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I literally did it on edge 2020 and got it right.

Write a rule for the linear function in the graph

(0, 1) , (5, 3)

Answers

Answer: x = 5, y = 2

Step-by-step explanation

x = 0, x = 5

5 - 0 = 5

y = 1, y = 3

3 - 1 = 2

i couldn't find this answer anywhere!! -x/6+6=32

Answers

Answer.

x=156

How to solve

x /6 +6=32

1 /6 x+6=32

1 /6 x+6−6=32−6

1 /6 x=26

6*( 1/ 6 x)=(6)*(26)

x=156

What is the rate of change between (6,12) and (8,20)

Answers

Step-by-step explanation:

It might be easier thinking of "rate of change" as the slope. Since you'll be finding a slope, then, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the values.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{20-12}{8-6}\\m=\frac{8}{2} \\m=4[/tex]

Answer:

[tex]m=\frac{4}{1}[/tex] or [tex]m=4[/tex]

Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n

Answers

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

Which operation should you perform first in the expression 7 × 23?

Answers

Answer:multiplication

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

Remember PEMDAS.

This is the order of operations

Parentheses, exponents, multiplication, division, addition, and subtraction.

That is the order you need to do things in, and in this case, since there are no other operations, the answer is multiplication.

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

[tex]x_{vertex}= -b/2a[/tex]

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

[tex]f(-13/4)= -9/8[/tex]

Then your expression for this quadratic should be:

[tex]f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})[/tex]

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

Write the equation of the line with a slope of 3 that passes through the point (4, 1).

Answers

Answer:

Step-by-step explanation:

y - 1 = 3(x - 4)

y - 1 = 3x - 12

y = 3x - 11

Answer:c

Step-by-step explanation:

I need help with this question. What makes 9/4, when you have to divide a number by 4?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]x \div 4=9/4[/tex]

[tex]x=9/4 \times 4[/tex]

[tex]x=36/4[/tex]

[tex]x=9[/tex]

Answer:

9

Step-by-step explanation:

x/4=9/4

x=9 (multiply both sides by 9)

Gordon Ramsey made a stew that contained shrimp and potatoes. Shrimp was expensive, so he used three times the amount of potatoes as he did shrimp. If the stew had 5 lbs. Total shrimp and potatoes, how many pounds of potatoes did he buy?

Answers

Answer:

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Step-by-step explanation:

Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:

[tex]shrimp + potato = 5[/tex]

We also know that he bought three times more potatoes than shrimps, therefore:

[tex]potato = 3*shrimp[/tex]

Using the second equation on the first one, we have:

[tex]shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25[/tex]

[tex]potato = 3*shrimp = 3*1.25 = 3.75[/tex]

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
cost $30. Later, you bought 2 rolls of streamers and 4 balloons for $11. How much did
each roll of streamers cost? How much did each balloon cost?

Answers

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

Solve the equation. 5 = –z – 3

Answers

Answer:

-8

Step-by-step explanation:

Answer:

Let's do this step by step

Step-by-step explanation:

I hope this helps

While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is .

Answers

Answer:

the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

Step-by-step explanation:

Number of cups Angela needs to add to her dough = 1/2 cup of milk

The only measuring cup she has = 1/4-cup measuring cup.

To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

= ½ × 4/1

= 4/2

= 2

Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

Answer:

The answer is 2 (:

Step-by-step explanation:

I got it right on the test in Edmentum

Hope this helps

Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.

Answers

Answer:

Step-by-step explanation:

[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]

What is the solution to y = x² + 5x – 2
y = 3x - 2

Answers

Answer:

(0,-2)(-2,-8)

Step-by-step explanation:

Answer:

(0,-2) (-2,-8)

Hope this helps

Help me please show me how u got your answer PLZ and Thank You!!

Answers

Answer:

1/3 I think I am not sure tho.

btw I know st math I used to do that to! LOL!

Step-by-step explanation:

If I am please mark me BRAINLIEST!

Please help with this question !

Answers

Answer:

to solve an equation you do PEMDAS in reverse.

Step-by-step explanation:

Add 1 to both sides.

multiply both sides by 4

square root both sides

now solve what's inside the parentheses by subtracting 5 from both sides.

Answer:

see below

Step-by-step explanation:

Add 1 to both sides

multiply both sides  by 4

take the square root of both sides

subtract 5 from both sides

What is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.

Answers

Answer:

4

Step-by-step explanation:

36/9=4

Answer:

4

Step-by-step explanation: division

What is the answer ?????????????????

Answers

Answer:

The answer is :

[tex] \cos(51) = 0.63[/tex]

[tex] \sin(63) = 0.89[/tex]

[tex] \tan(12) = 0.21[/tex]

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3). Which statements are true about the lines? Select three options. Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY. Line XW has a lesser slope than line YZ. Line ZW has the same y-intercept as line YZ. Line XY has a lesser y-intercept than line XW.

Answers

Answer:

                          A,C,D

                             or

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line YZ.

Step-by-step explanation:

did it on edge 2020

Answer:

A C D

Step-by-step explanation:

BOYYYYYYYYYYYYYYYYYY

Given that ∠ABC ≅ ∠DBE, which statement must be true?

∠ABC ≅ ∠ABD

∠ABD ≅ ∠CBE

∠CBD ≅ ∠DBE

∠CBD ≅ ∠ABC​

Answers

Answer:

∠ABD ≅ ∠CBE

Step-by-step explanation:

So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.

So does ABD = CBE?

Well we can model that with our xs.

ABD = ABC + CBD

so ABD = x + CBD

CBE = DBE + CBD

so CBE = x + CBD

Look at what we have!

x + CBD = x + CBD.

You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.

Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.

Which describes the intersection of line M and line N

Answers

Answer: A point

Step-by-step explanation:

To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersection.

AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.


What is the measure of ∠DQM ?

Answers

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

Other Questions
sider F and C below. F(x, y, z) = yz i + xz j + (xy + 4z) k C is the line segment from (1, 0, 2) to (6, 4, 1) (a) Find a function f such that F = f. f(x, y, z) = xyz+2z2+c (b) Use part (a) to evaluate C f dr along the given curve C. Can anyone who knows spanish solve this? Can someone please help with this answer The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent? A recent article1 claims that "Green Spaces Make Kids Smarter." The study described in the article involved 2623 schoolchildren in Barcelona. The researchers measured the amount of greenery around the children's schools, and then measured the children's working memories and attention spans. The children who had more vegetation around their schools did better on the memory and attention tests. (a) What are the cases in this study? (b) What is the explanatory variable? (c) What is the response variable? (d) Does the headline imply causation? (e) Is the study an experiment or an observational study? (f) Is it appropriate to conclude causation in this case? Real Estate One conducted a recent survey of house prices for properties located on the shores of Tawas Bay. Data on 26 recent sales, including the number of bathroom, square feet and bedrooms are below.Selling Price Baths Sq Ft Beds160000 1.5 1776 3170000 2 1768 3178000 1 1219 3182500 1 1568 2195100 1.5 1125 3212500 2 1196 2245900 2 2128 3250000 3 1280 3255000 2 1596 3258000 3.5 2374 4267000 2.5 2439 3268000 2 1470 4275000 2 1678 4295000 2.5 1860 3325000 3 2056 4325000 3.5 2776 4328400 2 1408 4331000 1.5 1972 3344500 2.5 1736 3365000 2.5 1990 4385000 2.5 3640 4395000 2.5 1918 4399000 2 2108 3430000 2 2462 4430000 2 2615 4454000 3.5 3700 4Action:Use the data above and multiple regression to produce a model to predict the average sale price from other variables. Comment on the following:a. Regression equationb. R, R2 and 1-R2, adjusted R2c. Standard error of estimated. Report the t's for each value and the corresponding p-valuese. Overall test of hypothesis and decisionf. Use a .05 level of significance. Cite which variables are significant and which are not significant, based on the t values and p values for each independent variable. Which multiplication expression is equal to 2/3 1/2 In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?a. m = -4, b = -10b. m = -4, b = 10c. m = 10, b = -4d. m = 10, b = 4 In The Scarlet Ibis, Old Woman Swamp is a symbol of ______ to Doodle and his brother.a. paradiseb.sadnessc.safetyd.loneliness A baker needs between 40 lb and 50 lb of flour-sugar mixture that contains ten times as much flour as sugar. What are the possibleweights of flour the baker can use?a. between 36.4 lb and 45.5 lb flour38.9 lb and 39.7 lb flourb. between 45.5 lb and 56.1 lb flourd. 31.8 lb and 34.9 lb flourC. Can someone help me with these questions In 1990, there were 4,500 deaths due to lung diseases in miners aged 20 to 64 years. The expected number of deaths in this occupational group, based on age-specific deaths rates from lung diseases in all males aged 20 to 64 years, was 1,800 during 1990. What is the standardized mortality ratio (SMR) for lung disease in miners commission earned but not received is debit or credit? which equations are true identities Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game. How often do the reunion and the soccer game fall in the same year? What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)? The ratio of the number of roses to the number of daises in a garden is 4:3. If there are 42 daises in the garden, how many roses are in the garden? Look at the following mutation: AUG-GUC-CCU-AAA AUG-AGU-CCC-UAA-A. The base A was inserted following the start codon AUG. Describe how this mutation affects the encoded amino acid sequence. Which is a factor that determines whether a molecule can cross a cell membrane? Find the counterexample to one of the following statements 1). A triangle cannot have an angle that is greater than 90 .2). The product of two positive numbers is always greater than their sum.