If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

[tex]f(x) = 2x + 5[/tex]

[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.

So, I will take f(x) as

[tex]f(x) = 2x + 5[/tex]

Next, solve for the inverse function

Replace f(x) with y

[tex]y = 2x + 5[/tex]

Swap x and y

[tex]x = 2y + 5[/tex]

Make 2y the subject

[tex]2y = x-5[/tex]

Make y the subject

[tex]y = \frac{x-5}{2}[/tex]

Replace y with the inverse sign

[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]

So, now we can calculate any value from the original function and from the inverse function.

For instance:

[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]

[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]


Related Questions

What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...

Answers

Answer:

D

Step-by-step explanation:

The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.

Here d = - 1 - (- 7) = - 1 + 7 = 6 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7

Which of the following criteria is excluded from national benchmark test?
A Mathematics
B Academic literacy
C Qualitative literacy
D Quantitative literacy ​

Answers

The criteria that is excluded from national benchmark test is Qualitative literacy. That is option C.

National Benchmark Test is an academic assessment test usually written by students that are about entering the university.

The National Benchmark Tests comprise three multiple choice tests, written as:

A combined Academic Literacy: this tests the ability of the candidate to adapt fully to the academic demands of higher degree.and Quantitative Literacy (AQL) test: this tests the ability of the candidate to solve problems in a real context that is relevant to higher education study. A separate Mathematics test: this tests the ability of the candidate to related to mathematical concepts needed for a higher education.

Qualitative literacy is the ability to understand and interpret qualitative evidence. It is not included in the national benchmark test criteria.

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Find the value of x segment addition

Answers

Answer:

6

Step-by-step explanation:

4+x-3=2x-5

1+x=2×-5

2x-x=6

x=6

Please help and thank you

Answers

Answer:

B is your answer to this question

Can someone help me?It's urgent and thank you!

Answers

Answer:

x = 4 is the answer

PLease give a brainliest

Berapakah hasil dari
Dua belas di kali dua?​

Answers

Answer:

24

Step-by-step explanation:

[tex] = > 12 \times 2[/tex]

[tex] = 24[/tex]

guys pls help me ASAP​

Answers

hahaha. akashi audits akkad

Answer:

[tex]x=-2[/tex] ⇒ [tex]y=2[/tex]

[tex]x=-1[/tex] ⇒ [tex]y=-4[/tex]

[tex]x=0[/tex] ⇒ [tex]y=-6[/tex]

[tex]x=1[/tex] ⇒ [tex]y=-4[/tex]

Step-by-step explanation:

Formula: [tex]y=2x^{2} -6[/tex]

To find the value of [tex]y[/tex] add the value of [tex]x[/tex] given:

Now solve for each:-

For:

[tex]x=-2[/tex]

[tex]y=2(-2)^{2} -6[/tex]

[tex]y=2[/tex]

For:

[tex]x=-1[/tex]

[tex]y=2(-1)^{2} -6[/tex]

[tex]y=-4[/tex]

For:

[tex]x=0[/tex]

[tex]y=2(0)^{2} -6[/tex]

[tex]y=-6[/tex]

For:

[tex]x=1[/tex]

[tex]y=2(1)^{2}-6[/tex]

[tex]y=-4[/tex]

hope this helps.....

algebra 2 help plsass

Answers

Answer:

A

Step-by-step explanation:

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

Pls answer……………………..

Answers

Answer:

They are not congruent because the lines aren't parallel.

Step-by-step explanation:

For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?

Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5

Answers

Answer:

3.5

Step-by-step explanation:

-3.5 is the correct answer

Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Radius=20 cm
Height=9 cm

Answers

Answer:

11,304.0 cm³

Step-by-step explanation:

the volume = π.r².h

= 3.14 × 20² × 9

= 11,304

explain how you can use a model to find 4 x 3/4 include a drawing and a solution

Answers

Answer:

4 x 3/4 = 3

Step-by-step explanation:

What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.

Answers

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

2

)

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

2

)

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

The measure of each exterior angle of a regular dodecagon is 30 degrees.

What is a regular dodecagon?

A regular dodecagon is a 12-sided regular polygon with each side equal.

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that measure of each angle of n-sided regular polygon can be found using

= 360/n

Upon substituting n = 12 in above formula, we will get:

= 360 / 12

= 30

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

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Which of the following is the equation of a line that passes though the points (2,5) and (4,3)

Answers

Answer:

y= -1x+7

or

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=

3 - 5

4 - 2

or...

m=

-2

2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

is

y=-1x+7

Please help me-

On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.

Answers

Answer: Choice A

Explanation:

You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.

The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]

That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.

Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.

Answer:

A

Step-by-step explanation:

The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?

Answers

Answer:

Step-by-step explanation:

2x + 3x - 10 = 90

Combine like terms

5x - 10 = 90

Add 10  to both sides

5x = 90+10

5x = 100

Divide both sides by 5

x =100/5

x = 20

A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?

Answers

Answer:

25 ft

Step-by-step explanation:

Pls pls pls answer this question!!

Answers

Answer:

11

Step-by-step explanation:

3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4

work for the root first

3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4

3 + 4 ÷ 2 * 4

now divide 4 by 2

3 + 2 * 4

then do multiplication

3 + 8

11

Answer:

11

Step-by-step explanation:

Following the order of operations in PEMDAS

Given

3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root

= 3 + 4 ÷ 2 × 4

When multiplication appear on the same line evaluate from left to right

= 3 + 2 × 4

= 3 + 8

= 11

The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with

similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of

the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?

Answers

Answer:

teri maa ki chut me mera land madarchod sale gand marunga teri

What is the area please

Answers

Answer:

A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)

A2 = Square (3×5=15)

Add A1 + A2 to get the total area = 73.5


[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation​

Answers

3•sqrt10-4sqrt17+3 is the simplified version

-4x^4 - 3x^3 - 29x^2 - 114 where x= -4

Answers

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

[tex]-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114[/tex]

Now we can solve

[tex]-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410[/tex]

Answer:

[tex]-1440[/tex]

Step-by-step explanation:

------------------------------

Given:

[tex]-4x^4-3x^3-29x^2-114=[/tex]

[tex]x=-4[/tex]

--------------->>>>

Let's substitute [tex]-4[/tex] for [tex]x[/tex] and solve

[tex]-4(-4)^4-3(-4)^3-29(-4)^2-144=[/tex]

Multiply the exponents

[tex]-4(256)-3(-64)-29(16)-144=[/tex]

Multiply the parenthesis

[tex]-1024+192-464-144=[/tex]

[tex]-832-464-144=[/tex]

[tex]-1296-144=[/tex]

[tex]=-1440[/tex]

------------------------------

Hope this helps.

calculate the area of rectangle if the area of the shaded triangle is 2.6cm​

Answers

Answer:

12

Step-by-step explanation:

a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.​

Answers

Question:-

A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.

Answer:-

let the cost price be 50x

→he sells 30kg of fruits on it's CP of 35 kg

→CP of 30kg fruits = 30x

→SP of 35kg fruits = 35x

→remaing fruits are 20kg

→he sells 20kg of fruits on CP of 16kg

→CP of 20kg fruits = 20x

→SP of 20kg fruits = 16x

→total CP is = 50x

→total SP is = (35 + 16) = 51x

→SP > CP (it means profit)

→profit = SP-CP

→ 51-50

→ 1

Now,

→ Profit% = gain/CP × 100

→ Profit% = 1/50 × 100

→ 2%

Hence the fruit seller had a profit% of 2%.

The new theme park in Myrtle Beach averaged fewer than 2,000 visitors per week during the cold winter months. What was the average daily attendance?

Answers

Answer:

Fewer than 286

Step-by-step explanation:

Average daily guest = visitors per week / number of days in a week

2000 / 7 = 285.7 = 286 guests

Is the graph increasing, decreasing, or constant? I need help with it!!

Answers

Answer:Decreasing

Step-by-step explanation:

The line is going down.

The given graph is decreasing. The correct option is A.

Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.

Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.

Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.

In given figure the line goes to downwards and the vales of y is decreasing  for the increasing values of x.

Hence, the given graph is decreasing. The correct option is A.

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Please help me guyssssssssssssssss

Answers

Answer:

x≥-4

Step-by-step explanation:

-2-3x ≤ 10

Add 2 to each side

-2-3x+2 ≤10+2

-3x ≤ 12

Divide by -3, remembering to flip the inequality

-3x/-3 ≥ 12/-3

x≥-4

Answer:

Easy x[tex]\geq[/tex]4

Step-by-step explanation:

a)-2-3x[tex]\leq[/tex]10 can be broken down by

b)-2-3x[tex]\leq[/tex]10

+2       +2

c)-3x[tex]\leq[/tex]12

  +3     +3

d) x[tex]\geq[/tex]4

The point (12, 5) is on the terminal side of angle θ.
cos θ =

cot θ =

Answers

Step-by-step explanation:

The point (12, 5)

x = 12, y = 5

=> r =√12²+5² =√144+25= √169=13

so, cos θ = x/r = 12/13 and

cot θ = x/y = 12/5

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