the inverse of f(x)=2x-10

Answers

Answer 1

The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) =[tex]2x - 10[/tex]

Replace f(x) with y.

[tex]y = 2x - 10[/tex]

Interchange x and y

[tex]x = 2y - 10[/tex]

Solve for y

[tex]y = (x + 10) / 2[/tex]

Replace y with f-1(x).

[tex]f-1(x) = x/2 + 5[/tex]

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

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Related Questions

area = in
help me please ty:)​

Answers

Answer:

36 inches but im really not sure though because you got to times them together and then divide by 2

Solve for the value of x:-
4x+3(x-1)=67​

Answers

Answer:

x = 10

Step-by-step explanation:

4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side

4x + 3x - 3 = 67

7x - 3 = 67 ( add 3 to both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Hi. . .

✦•···················•✦•···················•✦

A n s w e r : -

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

E x p l a n a t i o n :

Let's solve your equation step-by-step ~

➳ Step 1: Simplify both sides of the equation.

[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]

[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]

[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]

[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]

[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]

[tex]\sf{7x \: - \: 3 = 67}[/tex]

➺  Step 2: Add 3 to both sides.

[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]

[tex]\sf{7x = 70}[/tex]

➽ Step 3: Divide both sides by 7.

[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]

[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]

Hope It Helps...

does this table represent a function? yes or no

Answers

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

PLSSSSSS ANGLES I need helppppp

Answers

A because they are parallel and equal

Answer: B. 55°

Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.

180°- 125° = 55°

Therefore, the answer is B. 55°.

I hope this helps! Pls give brainliest!! :)

which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?

Answers

The three quantities needed are the mean of X, the mean of Y, and the slope

How to determine the values?

The y-intercept of a linear regression is calculated using:

[tex]a = \bar y - a\bar x[/tex]

Where:

[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slope

Hence, the three quantities needed are the mean of X, the mean of Y, and the slope

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What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of

Answers

Answer:

What is the common ratio between successive terms in the sequence?

27, 9, 9, 1,

3,

of

find the value of c so that (x+1) is a factor of the polynomial p(x). p(x)=5x^4+7x^3-2x^2-3x+c

Answers

Answer:

C=1

Step-by-step explanation:

5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
    5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.

Which of the following situations could be represented with the following system of equations?

Answers

Option B is correct for the given system of equations.

The given system of equations 13(v-w)=52 and 12(v+w)=72.

What are systems of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).

By adding (1) and (2), we get

v-w+v+w=4+6⇒2w=10⇒w=5

By substituting w=5 in equation (1), we get v-5=4⇒v=9.

Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.

Therefore, option B is correct for the given system of equations.

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Please help fast!!

Multiply and reduce to lowest terms. Convert into a mixed number if necessary.

[tex]3 \times \frac{2}{5} [/tex]

Answers

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

3 = 3/1

(multiply top and bottom separately for fractions)

[tex]\frac{3}{1}[/tex] × [tex]\frac{2}{5}[/tex] = [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}[/tex]

Answer:

1 1/5

Step-by-step explanation:

3×2/5

multiplying three (3) and two(2) and express the product of three and two over five.

6/5

five can enter in six three times , remainder 1

The fraction in lowest terms is one whole number , one over five.

1 1/5

GIVING BRAINLIEST TO CORRECT ANSWER What rotation about the origin is equivalent to R-200°
A. R-160
B. R560
C. R160
D. R200

Answers

The rotation about the origin that is equivalent to R-200° is; C. R160

How to find the angle of rotation?

We are given;

Origin = -200°

Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.

Thus;

By adding 360° to -200°, we have;

α = -200° + 360°

α = 160°

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Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n

Answers

The figure that shows the reflection of the letter Z is C

Complete question

The figure shows the letter Z and four of its transformed images—A, B, C, and D

Which of the four images was formed by a reflection of the letter Z?

A   B   C    D

How to determine the reflection of Z?

From the graph, see attachment, we have the following highlights:

The letter Z is in the second quadrant.

Also, B and D are letter Z.

So, they cannot represent the reflection

When reflected across the x-axis, the reflection is C

Hence, the figure that shows the reflection of the letter Z is C

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Convert 15 degree Celsius into Fahrenheit

Answers

Answer:

59 ° F

Step-by-step explanation:

F = 9/5 C + 32

 = 9/5 (15) + 32 = 59 °  F

ENS of soda (input)
60
70
80
90
100
110
Earnings (output)
$ 24
$28
$ 32
$36
$ 40
$ 44
How many liters would you have to sell to earn
$36?
000
Clear all
Enter the correct answer.
000
2
DONE

Answers

Answer:

90 liters

Step-by-step explanation:

please mark me as brainlest

The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?


Thanks
And will give a brainliest!!

Answers

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

Mark brainliest

Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

Which of the following is a Recursive Formula for an Arithmetic Sequence?

an = 6n – 9

an = -3 + 6(n – 1)

a1 = -3, an = an-1 + 6

a1 = -3, an = 6an-1
Pls I require assistance.

Answers

The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.

What is Arithmetic sequence ?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Given:

an = -3 + 6(n – 1)

a1= -3

a2= 3

a3 = 9

Here the common difference is 6 and first term is -3

Hence, the recursive formula is a1 = -3, an = an-1 + 6.

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What is the probability of
spinning an A?
B
B
A
B
C
A
[?]%
C

Answers

Answer:

25%

Step-by-step explanation:

when we count, we know that there are 8 possible outcomes as to where the spinner will land.

{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}

We know that two of these 8 possibilities are "A"

This means that A has a 2/8 chance of being landed on

we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions

to calculate percentage, we can follow through with our equation of 1/4

[divide 1 by 4]

1 / 4 = 0.25

We multiply this number by 100 to find percentage,

0.25 × 100 = 25

meaning that A has a 25% chance of being spun

hope this helps!! have a lovely day :)

Answer:

25%

Step-by-step explanation:

2 / 8 = 0.25

0.25 = 25%

1. Harry is buying a new conservatory. He says, "The conservatory is a cube shape and the length measures 2m. How much space will his new conservatory take up?
2. The sum of a cubed number and a square number is 150. What are the 2 numbers?
3. Caroline's daughter has an age that is a cubed number. next year her age will be a squared number. How old is she?

Answers

Answer:

1) 8 m^3

2) 125 + 25

3) 8

Step-by-step explanation:

1) It's a cube shape => length = width = height = 2 m

Volume = length × width × height = 2 × 2 × 2 = 8 m^3

2) 5^2 + 5^3 = 150

25 + 125 = 150

3) Now she is 8 years old (8 = 2^3)

Next year she'll be 9 years old (9 = 3^2)

The​ _____ _____, denoted ​, is given by the formula ​_____, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Answers

The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.

What is a sample proportion?

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

x is the number of individuals with a specified characteristic.n is the total number of individuals in a sample.

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What is 1.2 converted into a fraction then divided by 7

Answers

The answer as a fraction would then be 6/35
Answer: 6/35 (0.171…)

Step by Step Explanation:
1.2 converted to a fraction is 6/5
6/5 / 7 = 6/35

Rewrite the expression in the form z^n. z x z x z x z x z x z/z x z

Answers

Answer:

z⁴

Step-by-step explanation:

(z x z x z x z x z x z) / (z x z)

z⁶ / z² = z⁴

Solve the equation for x by graphing.
-2x − 3 = 3x + 2

Answers

Answer:

C

Step-by-step explanation:

you need to re arrange like terms

I need help with this: -1/4 x (-7/9)

Answers

Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)

[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction -1(-7) / 4 x 9.

[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]

{ Pisces04 }

How to use delta math

Answers

Answer:

DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.

Step-by-step explanation:

please mark me brainlist and follow me

Which of the following is equivalent to

Answers

Answer:

The first one

Step-by-step explanation:

[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]

The expression removes the first 9 terms of the summation so the summation goes from 10 to 19

please help asappp!!!

Answers

Answer:

0

y = 2

Step-by-step explanation:

Since it's a flat line, the slope is 0.

Since all of the points have a y-value of 2, the equation is y = 2.

Answer:

Slope = 0

Equation: y = 2

Step-by-step explanation:

PQ is parallel  to x-axis. Slope of the line parallel to x-axis = 0.

Slope of diagonal PQ = 0

Equation of line parallel to x-axis : y = a

Equation of diagonal PQ: y = 2  or y -2 = 0

HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5

O-2 0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4

Answers

Answer: Choice C

[tex]x < -2 \text{ or } x \ge 4[/tex]

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

Reason:

The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.

The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.

We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.

blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?

Answers

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

What is the value of K ?

Answers

Answer:

the answer is A K= -2.5

Step-by-step explanation:

i did the problem

this is not a right angled triangle, but how do i find the 3rd side of a triangle if one side is 50 and the other side is 30?​

Answers

Use the Pythagorean theorem.

I think my other question might've been deleted for some reason

Answers

We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

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