For the function f(x)= √x-6 +1, find the inverse function.

For The Function F(x)= X-6 +1, Find The Inverse Function.

Answers

Answer 1

Answer:

f^(-1) (x) = (x-1)²+6    x≥6

Step-by-step explanation:

y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x

y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.

x-1=√(y-6) subtract 1

(x-1)²=y-6 square both sides of the equation

(x-1)²+6=y add 6 to both sides

x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.


Related Questions

Find the area of a regular pentagon with a radius of 9 yds. show all six steps.

Answers

Answer:

  192.6 square yards

Step-by-step explanation:

The area of a regular pentagon can be found using the formula for any regular polygon.

  A = (n/2)r²·sin(360°/n) . . . . radius r, n sides

For a pentagon, the number of sides is 5, so this becomes ...

  A = 2.5r²·sin(72°)

__

Using the given value of radius, the area is ...

  A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²

  A ≈ 202.5 · 0.951057 yd²

  A ≈ 192.589 yd²

The area of the pentagon is about 192.6 square yards.

_____

Additional comment

We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...

determine an appropriate area formula for the given informationevaluate the formula for the given dimensions

Here, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...

  A = 2.37764129074·r² . . . . . area of regular pentagon with radius r

The answer to (-2)+(-5) will be
positive or negative

Answers

Answer:

  negative

Step-by-step explanation:

The sum of negative numbers is always negative.

answer the question below

Answers

Answer:

the answer is c sir

pls brainly me

thx and im blessed to

answer this thx you

1. When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a circular pattern. The radius of the circular pattern increased at a rate of 4 feet per minute. ((() = 4tft/min)

A. [3 pts) How fast was the area of the circular pattern increasing per minute? Construct the composite function to show how the area was increasing each minute. ( A() = ft/min). ​

Answers

The rate of change of the area as a function of time is:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

How to get the rate at which the area increases?

Remember that for a circle of radius R, the area is:

A = 3.14*R^2

Now, if the radius increases at a rate of 4 ft/min, then we can rewrite R as:

R(t) = R₀ + 4ft/min*t

Where t is the time in minutes, and R₀ is the initial radius.

So the area function is:

A(t) = 3.14*(R₀ + 4ft/min*t)^2

The rate of change is given by the differentiation with respect to t, it is:

A'(t) = 2*3.14*(R₀ + 4ft/min*t)*(4ft/min)

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

The rate at which the area increases, as a function of time, is given by:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

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Find the circumference of the circle.
113.04 feet
18.84 feet
d = 6 ft.
28.26 feet
37.68 feet
9.42 feet

Answers

male the question little more clear

i need help please
find the 7th term
3, 1,1/3

Answers

The sequence 3, 1,1/3 is a geometric sequence

The 7th term of the sequence is 1/243

How to determine the 7th term?

The sequence is given as:

3, 1,1/3

The above sequence is a geometric sequence with the following parameters:

First term, a= 3Common ratio, r = 1/3

The nth term is then calculated as:

Tn = ar^(n-1)

So, the 7th term is:

T7 = ar^6

Substitute known values

T7 = 3 * (1/3)^6

This gives

T7 = 1/3^5

Evaluate

T7 = 1/243

Hence, the 7th term of the sequence is 1/243

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Which summation formula represents the series below?
5 + 7 + 9 + 11

Answers

Answer:

Value = 5 + 2n, where in is the sequence number, starting with n = 0.

Step-by-step explanation:

The sequence is predicted by adding 2 for each step.  The formula for the number at point n is given by 5+2n, starting with n = 0:

n  Value

0      5

1       7

2      9

3     11

4     13

5     15

6     17

7     19

8    21

9    23

10   25

If (8,b) Is a solution to the equation represented by the graph below, what is the value b?

Answers

Answer:

b= -18

Step-by-step explanation:

See attached image.

Formulate the equation for the line by calculation the slope and adding the y-intercept, as shown.  The y-intercept if the value of y when x = 0.  The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept.  Note that this b is not the same b in the question (8,b).  The b in the question may be calculated once the equation is found:  y = -3x+6, where -3 is the slope and 6 is the y-intercept (0,6).

Use x = 8 in this equation.  y = -3(8)+6,  y = -18

The point is (8,-18), so b is -18.

Determine the finance charge on an $8,000 loan with a monthly payment of $162.80 for 60 months. a. $29.47 b. $162.80 c. $1,768.00 d. $9,768.00 please select the best answer from the choices provided a b c d

Answers

Answer:

C. 1,768

Step-by-step explanation:

162.8 times 60 equals 9,768

9,768 minus 1,768 is 8000

help me please please

Answers

Answer:

C'(-3, -3)

D'(-2, 1)

E'(-1, 0)

F'(0, -2)

Step-by-step explanation:

Remember that coordinates are written in the format (x, y).

To solve this problem, add 2 to x and subtract 2 from y for each coordinate. Going down the list and applying this to all of them, you get:

C = (-5, -1) -> (-3, -3)

D = (-4, 3) -> (-2, 1)

E = (-3, 2) -> (-1, 0)

F = (-2, 0) -> (0, -2)

What is the following sum4/5+2/5

Answers

Answer:

6/5 or 1 1/5

Edit:

soo

[tex]4\sqrt{5} + 2\sqrt{5}[/tex] = [tex]6\sqrt{5}[/tex]

since they both are being multipled to the square root of 5, you can just add them (i think)

Step-by-step explanation:

6 times the square root of 5

you add 4 and 2

Will it’s 6/5 but that’s improper so to make it proper it would be 1 1/5

Helpppppp plssss!!!!!!

Answers

Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

Thank you so much Please consider brainliest! <3

A box contains 20 balls, of which are white. If the probability of selecting a non-white
ball at random is 3/5
. Find the value of x

Answers

Answer:

if a box contains 20 balls in which all are white then the probability of selecting non white is 0

G.C.A.2 worksheet 5

Answers

50 and then you say that

The scatter plot below shows the cost (y) of long distance phone call based on the number of minutes (x) the calls take. Part A. Draw a line of best fit on the scatter plot

Part B write the approximate equation of the line of best fit

It should be in slope intercept form.

Part C. Use your equation from part B to predict the cost of a long distance call that lasts 120 minutes. Be sure to show your work

Part D. Explain how you found your answer to Part C.

Answers

The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression

Part A: Draw a line of best fit

See attachment for the line of best fit

Part B: The equation in slope intercept form

From the attached graph, the line passes through the points:

(x,y) = (0,0) and (40,4)

The equation is then calculated using:

y = y2/y1 * x

This gives

y = 4/40 * x

Evaluate

y = 0.1x

Part C: Predict the cost of long distance call of 120 minutes

This means that x = 120

So, we have:

y = 0.1 * 120

y = 12

Hence, the predicted cost of long distance call of 120 minutes is $12

Part D: Explanation of C

The answer in part C is calculated by substituting 120 for x in  the equation of the line of best fit

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Hello im in the 8th grade, and it is coming to the end of the year, i want to make my auntie proud. the rest of my grades are an A+ but i have a C in math, i really need help because not only will it help me get into a better college it will make me successful with my business that i want to have, if anybody is willing to help me go through assignments and raise the grades i have on those to raise my full grade it will mean alot to me please.. Comment if your willing too. Please help.

Answers

Answer:

if you use math    way it gives you simple answers im in 11th grade math and it works wonders also you dont get a GPA untill you reach highschool so tbh math in middleschool and junior high doesnt rlly count yk and there is also a no child left behind act in 42 states so you wont have to repeat the grade unless your parents want you to repeat the grade but one class wont make you reapeat the grade

Step-by-step explanation:

Answer:

Hello, I am sure your aunt is already proud of you! If you need help I am willing to do so. Do not try to overwork yourself math is hard. Just do your best and you will succeed. Do worry about your C anyways because colleges normally do not look at grades from 8th. It usually starts in the 9th grade. Just keep doing your best and keep your head high. You will do great things!

Step-by-step explanation:

Activity 1
Use ∆XYZ to find each trigonometric ratios.​

Answers

Answer:

1. Cos X =

2. Sin X = 3/5

3. Cos Y = 4/5

4. Sin Y = 3/5

5. Sec Y = 5/4

6. CSC X = 5/3

Step-by-step explanation:

(XY)² = (YZ)² + (XZ)²

=> (XY) ² = 3² +4²

=> (XY) ² = 9 + 16

=> (XY) ² = 25

=> (XY) = √25

=> (XY) = 5

Please help !!!! Only answer if you know!

Answers

Answer:

width is 5, length is 8

Answer: the person ab0ve me ISDBig. BrainnnN

Step-by-step explanation:

Two people are trying to raise an object from a hole using two ropes, as shown in the diagram below. Person 1 exerts a force of
355 N and Person 2 exerts a force of 425 N.
What is the magnitude of the combined force applied by both people?

Answers

Answer:

554 N

Step-by-step explanation:

We're looking for the magnitude of the force - angles don't matter.

We need to resolve the two forces.

As you can see in the attached drawing, this basically just becomes Pythagoras.

[tex] {f}^{2} = {355}^{2} + {425}^{2}[/tex]

[tex]f = \sqrt{ {355}^{2} + {425}^{2} } [/tex]

[tex]f = 553.76[/tex]

A serving of rice is 2/3 of a cup. How many servings are there in a 2 2/3-cup bag of rice?

Answers

Answer:

4 servings

Step-by-step explanation:

You do 2 2/3 divided by 2/3. First you change 2 2/3 to 8/3. Now, you change 2/3 to it's reciprocal; 3/2. Now you change division to multiplication and find your equation; 8/3 x 3/2. You cancel out both the threes, and find 8/2, or simplified, 4.

Answer:

4 servings

write 2/3x4, put 1 under 4

2x4=8

3x1=3

8/3

8/3 simplified is 2 2/3

Step-by-step explanation:

What primarily drew early civilizations to the places they first populated?
A. Religious freedom
B. Governmental policies
C. Economic development
D. Physical geography

Answers

The answer to your question is C.

1.
Find m∠B, rounded to the nearest degree.

a.53°

b.35°

c.44°

d.65°

Answers

Answer:

53°

Step-by-step explanation:

Hypotenuse is the longest side and it is opposite to angle 90°

[tex]\sf Sin \ B = \dfrac{Opposite \ side \ of \ angle \ B}{hypotenuse}\\\\[/tex]

         [tex]= \dfrac{4}{5}\\\\=0.8[/tex]

   [tex]B = Sin^{-1} \ (0.8)\\[/tex]

B = 53°

What is the equation of the line that passes through the point (-5,4)
and has a slope of 3/5?

Answers

Answer:

y=3/5x-7

Step-by-step explanation:

hope this helps

Which are perfect square trinomials? select two options. x2 − 9 x2 −100 x2 − 4x 4 x2 10x 25 x2 15x 36

Answers

The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.

What are trinomials?

A mathematical expression with three terms or three monomials is called a trinomial.

Polynomials having only three terms are known as trinomials.

A perfect square trinomial is an algebraic expression that takes the  form

ax^2 + bx + c,

A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and

x^2 + 10x + 25.

To learn more about the trinomials refer to the link;

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Answer: Options C and D are correct

Step-by-step explanation: i took the test

The diagram shown is two intersecting lines. The measure of 5 is 47°.


Please solve this on paper! I'll give brainliest to the best explanation. Thank you so much <3

Answers

Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

∠7 = 47°It is equal to 47 degrees, because the when a transversal cuts through a straight line, the angles which lay opposite to each other are equal

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

47 + 2x - 5 = 180

(c) Solving for x :

2x + 42 = 1802x = 138x = 69°

Which of the following correlation coefficients represents the weakest correlation?


A. 0.3

B.-0.1

C.0.4

D.-0.9


i barely remember 7th grade stuff :')))

i am practicing for the TSI so please explain! <3 TY!

Answers

The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.

What is correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.

So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.

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What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000

Answers

9000 ways to create 4-digit passwords using digits from 0 to 9 that the first character can't be 0, but not using the digit 0 as the first character.

We have to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

What is the combination?

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Here we have 4 selections.

Now let's find the number of options for each of these:

First character = 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Second character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Third character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Fourth character = 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9×10×10×10 = 9,000

So, we can conclude that the correct option is D.

If you want to learn more about combinations visit here;

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Answer:

d

Step-by-step explanation:

trust

Two opposite numbers are 18 units away from each other. What are the numbers?

Answers

Answer:

-4 and 4

Step-by-step explanation:

You count between the zeros as when you jump on a number line or just don't count the zero

-4, -3, -2 ,-1, 0, 1, 2 ,3, 4

Hope this helps

The two numbers are -9 & 9

What is the number line?

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Given here: Two opposite numbers who have a difference of 18

Thus the two numbers must be 9 units from either side of the origin.

Therefore the only possible number is -9 & 9

Hence, The two numbers are -9 & 9

Learn more about the number line here:

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Patrick has assets that total $9,500. his liabilities total $1,900. which expression will find patrick’s net worth? 9,500 dollars divided by 1,900 dollars 1,900 dollars minus 9,500 dollars 1,900 dollars minus 9,500 dollars 9,500 dollars minus 1,900 dollars

Answers

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

[tex]\rm Net\ worth = Assets-Liabilities[/tex]

                [tex]= \$9,500-\$1,900[/tex]

Thus, Patrick's net worth is represented by the expression $9,500-$1,900.

Learn more about Expression:

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What conjecture can you make about the tangent of complementary angles?

Answers

Answer:

Step-by-step explanation:

If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.

Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position

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