c. Based on these definitions, if you were given that f(2) = 17, what would the value of f-1(17) be? Explain your answer.

Answers

Answer 1

Answer:

-8.5

Step-by-step explanation:

17/2 = 8.5

f = 8.5

f -1(17) = 8.5 -17 = -8.5

-8.5 is your answer

Answer 2

The value of [tex]f^{-1}(17)[/tex] is 2.

How to find the value of any inverse Function in x -

From the definition of function we know that if f(x) = y , where x and y are two real values having range of (-∝,+∝) , then

[tex]f^{-1}(y) = x[/tex]

Thus in the problem, it is given that f(2) = 17 .

Using the above identity, we can find the value of [tex]f^{-1}(17)[/tex]

∴  [tex]f^{-1}(17) = 2[/tex]

To learn more about properties of function, refer -

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Related Questions

What is a prime number

Answers

Answer:

a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).

Step-by-step explanation:

A prime number is a number that has only two factors 1 and the number itself

Use the method of combining like terms to find the equivalent expression to 6u+2v+3u−7v−2.

Answers

Step-by-step explanation:

The like terms are 6u and 7u and also 2v and -7v so the answer is 9u - 5v - 2.

4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Given that ∠CEA is a right angle and Ray E B bisects ∠CEA, which statement must be true?

Answers

Answer:

m∠CEB = 45°

Step-by-step explanation:

Answer:

m∠CEB = 25°

Step-by-step explanation:

Writing expression in a+bi form. Picture included!

Answers

Answer:

[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]  

Step-by-step explanation:

[tex]\frac{-4 - \sqrt{-12}}{4}[/tex]

Distributing

[tex]\frac{-4}{4} - \frac{\sqrt{-12}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12 \times -1}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12} \times \sqrt{-1}}{4}[/tex]

[tex]-1 - \frac{\sqrt{12}}{4} i[/tex]

[tex]-1 - \frac{\sqrt{4 \times 3}}{4} i[/tex]

[tex]-1 - \frac{2 \sqrt{3}}{4} i[/tex]

[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]

Dalton has $40,000 in a savings account that earns 11% annually. How much money will he have in his savings account in 5 years?

Answers

Answer:

40,000+11%

40,000+ 4,400(5)

Step-by-step explanation:

62000 in 5 years

The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride in a car together, how much can you weigh? Write and solve the inequality.

Answers

Answer:

to find your weight limit you take 263 and subtract 86 from that and get 177

meaning youu can weigh only up to 177lbs.

Step-by-step explanation:

Which statement is true about the value of StartAbsoluteValue negative 14 EndAbsoluteValue? StartAbsoluteValue negative 14 EndAbsoluteValue = negative 14 StartAbsoluteValue negative 14 EndAbsoluteValue less-than 14 It is the distance between –14 and 0 on the number line. It is the distance between –14 and 14 on the number line.

Answers

Answer:

(C)It is the distance between –14 and 0 on the number line.

Step-by-step explanation:

The absolute value of a number returns a positive value no matter te number inside the absolute sign.

Therefore, the absolute value of -14 is 14.

That is: [tex]|-14|=14[/tex]

It is the distance between -14 and 0 on the number line.

The correct option is C.

Answer:

C

Step-by-step explanation:

Which pattern below does not follow the same rule as the other three patterns?

A 2​ , 4​ ,8​,16,32​

B 5​ , 10​ , 20​ , 40​ , 80​

C 15​ , 25​ , 35​ , 45​ , 55​

D 25​ , 50​ , 100​ , 200​ ,

Answers

Answer:

C. 15, 25, 35, 45, 55

Step-by-step explanation:

In the other three, they multiply by two but on C., the just add ten

Answer:

C does not follow the same rules as the others

Step-by-step explanation:

As you can see pattern a, b, and d all follow a times2 rule. The only that does not is c. C follows a plus10 rule

The length of a spring varies directly with the mass of an object that is aftached to it. When a 30-gram object is attached, the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
vx
3
S =
10
3
3
M =
S
10
m =
1
30
S​

Answers

Answer:

s = [tex]\frac{3}{10}[/tex] m

Step-by-step explanation:

Given s varies directly with m then the equation relating them is

s = km ← k is the constant of variation

To find k use the condition s = 9 when m = 30 , thus

9 = 30k ( divide both sides by 30 )

k = [tex]\frac{9}{30}[/tex] = [tex]\frac{3}{10}[/tex]

s = [tex]\frac{3}{10}[/tex] m ← equation of variation

Hi pls can someone help me

Answers

Answer:

divide 10, - 10

+10, divide 10

Step-by-step explanation:

Answer:

350 → D B → 25

350 → A D 36

Step-by-step explanation:

2nd question :

[tex]350 \div 10 = 35 \\ 35 - 10 = 25[/tex]

3rd question :

[tex]350 + 10 = 360 \\ 360 \div 10 = 36[/tex]

methods to write an equation in standard form given two points on a line

Answers

Step-by-step explanation:

1. Read the sum

2. Think about what the sum is about.

3. What method could you use, for example, for division, you could use bus stop method. For multiplication The column metho.

Answer:

bus stop method, the column method.

Step-by-step explanation:

Simplifying fractions (picture provided)

Answers

Answer:

2 1/4

Step-by-step explanation:

- 5 1/4 - ( - 7 1/2)

Subtracting a negative is like adding

- 5 1/4 + 7 1/2

Get a common denominator of 4

-5 1/4 + 7 2/4

Subtract

7 2/4 - 5 1/4

2 1/4

The right answer is 2 1/4

Please see the attached picture for full solution

Hope it helps

Please help in simplify these expressions

Answers

3. -8m^8

4. 30a^7
Hope that helped:))

Which graph represents this inequality? Y ≥ 4x-3

Answers

Answer:

It is the second graph B

Step-by-step explanation:

the first graph has the line graphed correctly except that it has a dashed line instead of a solid line because the equation is greater than and equal to the line should be solid not dashed

The inequality of the graph is the shaded area left side of the line. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given as,

y ≥ 4x – 3

The inequality of the graph is the shaded area left side of the line.

Then the correct option is B.

The diagram is given below.

More about the inequality link is given below.

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A traffic cone is 2 ft tall and has a diameter of 1 ft . What is the volume of the cone ?

Answers

The volume of cube is 0.52ft^3

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

0.52

Step-by-step explanation:

→The formula for the volume of a cone is:

V = π[tex]r^2\frac{h}{3}[/tex]

→The "r," (radius) is half the diameter (1), so it's 0.5:

V = π[tex]0.5^2\frac{2}{3}[/tex]

V = 0.52

Choose the symbol that would make this problem correct a

Answers

The correct symbol would be a >

Answer: I will answer your question, but first you need to show me the problem.

Step-by-step explanation:

please help ill mark you as brainlesit if correct!​

Answers

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Think, how many different variations are there? The answer is 16: 4 times 4=16

how many of these variations could be the same? lets check:

7 and 7    1

2 and 2  2

2 options out of 16, so the answer is 2/16 which can be simplified to:

[tex]\frac{1}{8}[/tex]

I hope this helps u!

Please give brainliests(i had 40 now for no reason down to 2 :.( ) and a thx ;)


PLS HELP ASP HURRY BEST ANSWER GETS BRAINLESST AND FOLLOW

20. Is the is the combined mass of 2 red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? explain

the graph helps!! pls answer asp​

Answers

Answer:

Step-by-step explanation:

First find total the weight of all red footed macaws whic is 525(2)=1050

and then the blue and gold macaws 800(3)= 2400

So add them both together yu get 3450grams or 3.45kg

So it is closer to 3kg because the total weight is under 3.5kg so that means you round down to 3kg. If it was 3.5kg you would round up to 4kg but their combined weight is not more than 3.45kg

You want to make a picture frame for a photo. The photo is 8 inches by 10 inches. How many feet of wood do you need?

Answers

Answer:

80 inches

Step-by-step explanation:

Your pretty much finding the area so you would multiply 8 x 10

Answer:

80 inches

Step-by-step explanation:

8x10

If m∠1 ≅ 115°, find m∠8. answers : 205° 115° 65° 25°

Answers

Answer:

65°

Step-by-step explanation:

∠1=115°

∠2=65°

∠3=65°

∠4=115°

∠5=115°

∠6=65°

∠7=115°

∠8=65°

We get this because Line m and l are parallel. Also ∠1+∠2=180° so if ∠1 is 115°, then ∠2 is 180°-115° or 65°.

The answer would be 65°

It would be 65° because my the corresponding angles postulate angle 1 and angle 5 are congruent. Angle 5 and angle 8 are supplementary.

If Angle 5 + Angle 8 = 180
Then plug in values

115 + angle 8 = 180

angle 8 = 65

Alex is making a milkshake.She needs 1/3 cups of milk.She decided to add 1/4 more cups.How much milk is she putting into her milk shake?Be sure to show your equation

Answers

Answer:

7/12

Step-by-step explanation:

1/3 x4/4 = 4/12

1/4 x 3/3 = 3/12

4/12 + 3/12 = 7/12 = 5.83

\frac{(2+4)^{4} }{2}
Plz Answer

Answers

Answer:

648

Step-by-step explanation:

[tex]\frac{(2+4)^{4} }{2}[/tex]=

[tex]\frac{6^{4} }{2}[/tex]=

[tex]\frac{1296}{2}[/tex]=

648

If Maria is trying to find 42% of 350 which of the following calculations will give her the correct answer?

Answers

Answer:

42% * 320

Step-by-step explanation:

it's 147

Step-by-step explanation:

42/100 ×350/1=147

The least common denominator of 1/3, 5/8, and 1/2 is:

Answers

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.

Answers

Answer:

h = 13 ft

Step-by-step explanation:

The following information is missing:

The hypotenuse of that triangle is 13√2 ft.

The 45°- 45°- 90° triangle theorem states that the length of the hypotenuse is √2 times the length of the legs. This means that, in this case, the length of the legs are 13 ft. One of the legs is the height of the wall.

Answer:

C. 13 ft

Step-by-step explanation:

Explanation above

Melanie had two $10 bills one$5 bill,four dimes, and six pennies. Then she bought a fruit cup for $2.19

Answers

Answer:

$23.27

Step-by-step explanation:

yes

Solve the equation: √(y−1)^2 =15 Please help ASAP!! Thank you!!!

Answers

Answer:

Remove the radical by raising each side to the index of the radical.

y  =  226

Step-by-step explanation:

HELP!!! WILL MARK BRAINLIEST!!!

The following graph describes function 1, and the equation below it describes function 2. Determine which function has
a greater maximum value, and provide the ordered pair.
Function 1
Function 2
f(x) = -x2 + 2x - 3
Function 1 has the larger maximum at (1,4).
Function 1 has the larger maximum at (4,1).
Function 2 has the larger maximum at (1, -2).
Function 2 has the larger maximum at (-2, 1).

Answers

Answer:

the answer is function 1 has the larger max. at (4,1)

Step-by-step explanation:

draw function 2 : the vertex  is (1,-2)

the vertex of function 1 is (4,1)

The function 1 has a greater maximum value than function 2, and the ordered pair is (1,4).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -x2 + 2x - 3

Now,

To find the maximum value of a function, we can use the vertex form of a quadratic equation, which is y=a(x−h)2+k

, where (h,k) is the vertex of the parabola. The maximum value of the function is the y-coordinate of the vertex.

For function 1, we can rewrite it as [tex]$$f(x) = -(x-1)^2 + 4$$[/tex]

by completing the square. This means that the vertex of function 1 is (1,4) and the maximum value is 4.

For function 2, we can rewrite it as

[tex]$$f(x) = -\frac{1}{4}(x+2)^2 - 2$$[/tex]

by completing the square. This means that the vertex of function 2 is (−2,−2) and the maximum value is -2.

Therefore, by the given function answer will be (1,4).

Learn more about function here:

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Which of the following trigonometric expressions represents an inverse function?

Answers

Answer:

the second one:

tan-1(xdegree)

Step-by-step explanation:

The volume of a cuboid of length 8m and breadth 5m is 200 cubic meter. Find its height

Answers

Hey!!

Given,

Length(l)=8m

Breadth(b)=5m

Volume of a cuboid(V)=200 m^3

Height(h)=?

Now,

Volume of a cuboid=l*b*h

or,200=8*5*h

or,200=40h

or,h=200/40

h=5 meter

The height is 5 meter.

Hope it helps

Good luck on your assignment

Answer:

[tex]height = 5m[/tex]

Step-by-step explanation:

[tex]volume = l \times b \times h \\ 200 = 8 \times 5 \times h \\ 200 = 40h \\ \frac{200}{40} = \frac{40h}{40} \\ h = 5m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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