If f(x) and it's inverse function, f-1(x), are both plotted on the same coordinate plane, what is there correct point of intersection? (0,-2) (1,-1) (2,0) (3,3)

Answers

Answer 1

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A fucntion f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse fucntion is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

i.e. (3,3)


Related Questions

The midpoint of AB is M(-5, -2). If the coordinates of A are (-3,4), what are
the coordinates of B?

Answers

Answer:

The coordinates of b are (-7, -8)

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

Sheila either walks or cycles to school The probability that she walks to school is 0.65 If she walks, the probability that she is late is 0.4 If she cycles, the probability that she is late is 0.1 What is the probably that on any one day Sheila is not late for school.

Answers

Answer:

Probability that she walks or cycle to school on any day and not be late is 0.705

Step-by-step explanation:

Part A

P(she walks to school) = 0.65  

P(she will be late) = 0.4

P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6

Part B

P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35

P(she will be late) = 0.1

P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9

Thus, probability that she walks or cycle to school and not be late =

P(walks: not late) + P(cycle: not late)

= (0.65 x 0.6) + (0.35 x 0.9)

= 0.39 + 0.315

= 0.705

Therefore, probability that she walks or cycle to school on any day and not be late is 0.705

Evaluate the expression

Answers

Answer:

3

Step-by-step explanation:

3x3=9

In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O .

Answers

Answer:

∠O ≈ 43°

Step-by-step explanation:

Draw a diagram to help you visualize (see photo below).

Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).

To find ∠O (which is represented by θ in the diagram), use the given sides:

QO = 61 feet

OP = 83 feet

OP is the hypotenuse since it's the longest side.

If ∠O = θ (angle of reference), then side QO is adjacent.

The trig. ratio that uses adjacent and hypotenuse is:

cosθ = adjacent / hypotenuse

Substitute the variables for this question

cosO = QO / OP

Substitute the known values

cosO = 61 feet / 83 feet            Isolate "O"

∠O = cos⁻¹(61/83)                Input into calculator

∠O ≈ 42.69787...°               Exact answer

∠O ≈ 43°               Round to the nearest whole degree

Therefore, the measure of ∠O is 43°.

Please comment below if you have any questions!

Which of the following questions are true statements about the expression 6+(-6)

Answers

What r the following questions?

Evelyn needs to buy a season pass to the water park that
costs $320. How much will the season pass to the water
park cost if she uses credit, pays $80 a month, and pays an
extra $6 a month in interest?

Answers

Answer:

344

Step-by-step explanation:

80*4=320

6*4=24

320+24=344

Giving brainlest to the first right answer

If the area of a pentagonal pyramid has a 440. 4 mm2 base area, 16 mm. pentagon side
length, and 20 mm. slant height, then determine the surface area of the pyramid.

Answers

Answer:

Sorry man I could answer it I could find the step

But I hope you have good look on this!

But if You are using trygonometry here

a , 4

m  3 , 16

m 2, 20

m 2

Answer:

it's a 4 m 3,16 m 2,20 and m 2

mm, 3,2,

Step-by-step explanation:

i got it right

Simplify the expression.
9(-10-4v)+9v

Answers

Answer: -90-27v

Step-by-step explanation:

N A

Answer:

-90-27v

Step-by-step explanation:

9(-10-4v)+9v

-90 - 36v + 9v

-90 - 27v

A set of 3 consecutive integers adds up to 42. What are the integers?

Answers

The integers are 13 14 15

Answer:

Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

Step-by-step explanation:

Answer the question

Answers

Answer:

Step-by-step explanation:

(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)

= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24

{bring the like terms together}

= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v²  - 9v - 48v - 24

= -3v⁴ - 15v³ - 45v² - 57v - 24

HINT:

-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3

                           = -3v²⁺² - 6v²⁺¹ - 3v²

-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)

                            = -9v¹⁺² - 18v¹⁺¹ - 9v

                            = -3v³ - 18v² - 9v

                          = -3v⁴ - 6v³ - 3v²

what vaule of b makes y=2x+b the same as y=2x?

Answers

Answer:

Step-by-step explanation:

hello :

y=2x+b the same as y=2x

y=2x means : y=2x+0    so : b=0

4/5 - 3/10 enter a zero or leave the whole number box blank to enter a fraction

Answers

Answer:

1/2

Step-by-step explanation:

4/5 - 3/10

Lcm would be 10

[(4×2) - 3]/10

(8 - 3)/10

5/10

1/2

The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?

Answers

Answer: 4.22

Step-by-step explanation:


What is the risk of going into a group of more than 20 or more people at this time from coronavirus?

Answers

Answer:

Even if a person doesn't show symptoms, they can still have it.

Step-by-step explanation:

That's the problem.

Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.

Answer:

Getting infected

Step-by-step explanation:

Find the volume of the cone.
Either enter an exact answer in terms of 1 or use 3.14

Answers

Answer:

78.54

Step-by-step explanation:

V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]

V= 3.14 (25) (1)

V= 78.5

Final answer:

The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.

Explanation:

To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.

For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:

V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.

So, the volume of the cone is approximately 167.47 cm³.

Learn more about Volume of a cone here:

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Solve for x :
6x=36

Answers

Answer:

6

Step-by-step explanation:

6 multiplied by 6 is 36.

Answer:

6

Step-by-step explanation:

When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.

6x=36

Divide both sides by 6

x=6

hope that helped.

What is the solution to 2x2+8x=x2-16?
O x=4
O x=-2
O x=2
O x=4

Answers

Answer:

x=-4

Step-by-step explanation:

A on edg

The solution to the quadratic equation is x = -4

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + 8x = x² - 16

Subtracting x² on both sides , we get

x² + 8x = -16

Adding 16 on both sides , we get

x² + 8x + 16 = 0

On simplifying the equation , we get

( x + 4 )² = 0

Taking square roots on both sides , we get

x + 4 = 0

Subtracting 4 on both sides , we get

x = -4

Therefore , the value of x is -4

Hence , the solution is x = -4

To learn more about quadratic equations click :

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Choose the correct box plot for the data set below . 32 , 39 , 46 , 50 , 57 , 62 , 66.

Answers

Answer:

C

Step-by-step explanation:

The median is 50, the lower quartile is 39, and the upper quartile is 62.

Answer:

c

Step-by-step explanation:

On a scale drawing of a​ fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the​ drawing?

Answers

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

HELP ASAP!!!!!!!!!!!
Describe the solution of h(x) shown in the graph below.


All solutions that lie on h(x)
All real solutions
All whole number solutions
All positive solutions

Answers

Solutions that lie on the line are -1 and 2.

When y is -2, x is either 0 or 1.

When y is 4, x is either -2 or 3.

The line never goes below -2

The correct answer is  OPTION (A) All solutions that lie on h(x)

Why all solution that lie on h(x)?

The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .

According to the graph ,

When y is -2, x is either 0 or 1.When y is 4, x is either -2 or 3.The line never goes below -2

Therefore , all solutions lies on h(x)

Learn more about Graph solution below

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A jar pinto beans and black beans in a ratio of 1: 1, and 300 of the beans are pinto beans. How many beans in total are there in the jar?

Answers

Answer:

600 beans

Step-by-step explanation:

If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.

If f(x)= 3x-9, fine each function value.

F(12)

Answers

Answer:

27

Step-by-step explanation:

Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.

Hope this helped :)

Final answer:

The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.

Explanation:

To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:

f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27

Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.

10. Explain why log328 is between 3 and 4.

Answers

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.


A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?

Answers

The probability is 3/7 or 42.9%

Find the value and expression for 0

Sin(0) = cos(28)

Answers

Answer:

The value of 0 is 62

The expression of 0 is  0 = arcsin (cos (28))

Step-by-step explanation:

Sin(0) = cos(28)

The value of 0 is  90 - 28 = 62 degrees.

The expression of 0 is derived from algebraically solving for 0

0 = arcsin (cos (28))

The domain is: - infinity

Answers

The domain would be positive (infinity) because it shows the x value going further and further on the x-axis in the positive direction

Answer for the first blank = infinity

Answer for the second blank = 9000

===================================================

Explanation:

Note how the graph goes on forever in both left and right directions. So x extends forever in both directions. This means any x can be an input to the function. The domain is -infinity < x < infinity. Basically, the domain is the set of all real numbers.

The range is -infinity < y <= 9000 since there is no smallest y value, but the largest y can be is y = 9000. Look at the highest point of the parabola and note the y coordinate of this point. This highest point is called the vertex.

mr webb gave his waiter a $5.60 tip on a $40 bill. what percent tip did he give the waiter?

Answers

Answer:

14%

Step-by-step explanation:

5.60 / 40 = 0.14

0.14 x 100 = 14

Mr. Webb left a 14% tip.

Answer:

14%.

Step-by-step explanation:

You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%

Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.

Answers

Answer:

5n

The coefficient is 5

Step-by-step explanation:

For day 1; he fill 5 cups

For day 2; he fill 5 + 5 cups

For day 3; he fill 5 + 5 + 5 cups

For day 4; he fill 5 + 5 + 5 + 5 cups

For day n; ?

The sequence is 5, 10, 15, 20, ...

The sequence increases linearly.

a = 5, d = 5, n = ?

Using the Formula for nth term of a sequence, we have:

[tex]T_{n} = a + (n - 1)d\\T_{n} = 5 + (n - 1) 5\\T_{n} = 5 + 5n -5\\T_{n} = 5 - 5 + 5n\\T_{n} = 5n[/tex]

The question is not complete. Here is the complete question:-

Michael started by filling up 12 cups. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.

Answer:

The algebraic expression is :

y = 12 + 5n

The coefficient is 5

Step-by-step explanation:

Please kindly check the attached files for explanation

Brent biked 800 meters on Friday. On​ Saturday, he biked 3 kilometers. On​ Sunday, he biked 2 kilometer​s, 600 meters. How many kilometers did Brent bike over the three​ days

Answers

Answer:

333

Step-by-step explanation:

What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot

Answers

Answer:

134.0

Step-by-step explanation:

Final answer:

The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.

Explanation:

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * (radius)^3

Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:

Radius = 8ft / 2 = 4ft

Substituting the value of the radius into the formula, we get:

Volume = (2/3) * π * (4ft)^3

Volume ≈ 134.04 ft³ (rounded to the nearest tenth)

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