why is x=f(y) the inverse of f(x)?

Answers

Answer 1

Answer:

in finding the inverse of an equation, you just switch x and y, so f(x)=y becomes f(y)=x


Related Questions

Lance and Brandon purchased items at the sporting goods store and spent the same amount of money. Lance bought 18 shirts for his team, and Brandon bought 12 of the same shirts for his team plus a $75 pair of shoes. How much did each shirt cost?

Answers

Answer:

$12.50

Step-by-step explanation:

18 - 12 = 6

Brandon bought 6 less than Lance and payed $75 dollars shoes.

That means that 6 shirts cost $75.

We need to divide 6 from 75

75/6 = 12.5

So each shirt costs $12.50.

Hope this helped

Stay curious!

I need help, pls answer.

Answers

Answer:

D the last one

Step-by-step explanation:

Answer:

I say D because new Orleans is closer to sea level than Salton Through

Step-by-step explanation:

Because ik it

Please help me with these!!

Answers

Answer:

see explanation

Step-by-step explanation:

(28)

2x³ - 32x ← factor out 2x from each term

= 2x(x² - 16) ← difference of squares

= 2x(x - 4)(x + 4)

(29)

3x² + 6x + 3 ← factor out 3 from each term

= 3(x² + 2x + 1) ← perfect square

= 3(x + 1)²

(30)

[tex]x^{4}[/tex] - 81 ← difference of squares

= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares

= (x - 3)(x + 3)(x² + 9)

(31)

5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term

= 5x³(x² - 3x + 2)

= 5x³(x - 1)(x - 2)

What is the value of ?
StartFraction 2 pi Over 3 EndFraction

Answers

Answer: -pi/6

Step-by-step explanation:

it's correct.

Answer

-pi/6

Step-by-step explanation:

got it on edge

What is -4/5 divided by 2/3? I can't figure out how to get the answer and the calculators are no help at all.

Answers

If you're asking for improper, It's -6/5.

If you're asking for decimal. it's -1.2

If you're asking for mixed number, It's -1 1/5.

Answer:

-2/15

Step-by-step explanation:

Apply the fractions formula for addition, to

− 45 + 23

and solve

( −4 × 3 ) + ( 2 × 5 ) 5 × 3

= − 12 + 10/15

= −2/15

Therefore:

−45+23= −2/15

DIRECTIONS: Use this information to answer Parts A and B.

A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.

Part A
How much commission did the real estate agent earn on the sale?

Enter the correct answer in the box.

Answers

Answer:

$17,160

Step-by-step explanation:

286,000·0.06=17,160

Stan made a scale drawing of his living room that had a scale factor of 1/2 inch = 2 feet. The dimensions of the living room in his drawing are 3 1/2 inches by 3 3/4 inches. Carpet sells for $3.99 per square foot. how much will it cost Stan to carpet his living room?

Answers

Answer: 209.48

Step-by-step explanation:

{5,25,35,45,55,65} Rational numbers

Answers

Answer:

yes

Step-by-step explanation:

5,25,35,45,55,65

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Answers

Answer:

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles

When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolute value equation that represents the minimum and maximum temperatures of lava. Use x to represent the temperature.

Equation:__

Answers

Answer:

Ix - 950°C I ≤ 250°C

Step-by-step explanation:

We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.

And that this temperature is x.

This means that the minimum value of x is 700°C while maximum of x is 1200 °C

Let's find the average of the two temperature limits given:

x_avg = (700 + 1200)/2 =

x_avg = 1900/2

x_avg = 950 °C

Now let's find the distance between the average and either maximum or minimum.

d_avg = (1200 - 700)/2

d_avg = 500/2

d_avg = 250°C.

Now absolute value equation will be in the form of;

Ix - x_avgI ≤ d_avg

Thus;

Ix - 950°C I ≤ 250°C

why does -5/10 equal 5/-10 ? explain..

Answers

Answer:

-5/10 equals to 5/-10 because even though the numerator/denominator is negative, when you simplify -5/10 or 5/-10, it give you -1/2 and 1/-2.

Step-by-step explanation:

Alex bar and Carl are brothers Alex is the oldest and Carl is the youngest the some of the ages of the three brothers is 42 Alex his age is three more than twice Carl's age the difference between Barts in Carl's ages is seven years how old is each brother

Answers

Answer:

Alex = 19 years

Bart's = 15 years

Carl = 8 years

Step-by-step explanation:

Let us represent their ages as

Alex = x

Bart's = y

Carl = z

the sum of the ages of the three brothers is 42

x + y + z = 42

Alex his age is three more than twice Carl's age

x = 2z + 3

The difference between Barts in Carl's ages is seven years

y - z = 7

y = 7 + z

Hence: we Substitute

x + y + z = 42

2z + 3 + 7 + z + z = 42

Collect like terms

2z + z + z + 10 = 42

4z = 42 - 10

4z = 32

z = 32/4

z = 8 years

Hence, Carl = 8 years old

a) y = 7 + z

y = 7 + 8

y = 15 years.

Hence, Bart's is 15 years old

b)x = 2z + 3

x = 2(8) + 3

= 16 + 3

= 19 years

Therefore, Alex is 19 years old.

Graph the solution of this inequality:
350 » 125 + 15.7

Answers

Answer:

the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation

Step-by-step explanation:

-5(c-2)=20-5c+10
help please

Answers

Answer:

20+10c

Step-by-step explanation:

-5(c)= -5c

-5(-2)=10

-5c+10=20-5c+10

100 points and brainliest

Mira and Sasha observed two points, P and Q, on a number line.
A number line is shown from negative 2 to positive 2 with increments of 2 over 8. A point P is shown at the seventh tick mark to the left of 0, and a point Q is shown at the seventh tick mark to the right of 0.

Sasha said that the absolute values of the numbers represented by the two points are different.
Mira said that the absolute values of the numbers represented by the two points are the same.

Which of the following explains who is correct?

A Sasha, because the points are of different signs

B Sasha, because the points are at different locations

C Mira, because each of the two points is 14 over 8 units from 0

D Mira, because the distance between the two points is 14 over 8 units​

Answers

Answer:

A Sasha, because the points are of different signs

Answer:

D

Step-by-step explanation:

I got it right in my test and I saw it in some other brainly question

What is the value of f(x) when x=3?

−3
−2
1
4

Answers

Answer:

4

Step-by-step explanation:

x = 3 meets the requirement x ≥ 1 thus

f(x) = x + 1, so

f(3) = 3 + 1 = 4

Hope this helps

<3

Red

Answer:

-3

Step-by-step explanation:

E2021

Last one someone answers this i’ll give brainlest but only if you answer this one

Answers

Answer:

342,000,000 miles difference

Step-by-step explanation:

jupiter: 484,000,000

mars: 142,000,000

484,000,000 - 142,000,000 = 342,000,000

I can not really see the question. Maybe take another photo?? That way, I can help better.

12x5 what is the answer

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's 60 5+5+5+5+5+5+5+5+5+5+5+5

I'll be giving brainliest to whoever can help with these!

Answers

Answer:

2. C

3. Also C

4. C again???

5: A

Step-by-step explanation:

5
What is the value of 58 ? (1 point)

Answers

Answer:

1/25

Step-by-step explanation:

Answer:

Step-by-step explanation: The absolute value of 58 is the distance between 58 and 0 on a number line. See illustration below where x is 58: Since the distance between 58 and 0 on a number line is 58, we get the answer as follows: |58| = 58. Note that the absolute value of 58 can also be written as abs (58) which may be useful to know if you have a good calculator.

Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)​

Answers

Answer:

=28n2−27n

Step-by-step explanation:

answer
28nsquared -27n

Sheryl got these scores on her spelling tests.

95, 89, 99, 85, 82

What is the mean absolute deviation of her spelling test scores?

(10 point)




HELP PLSSSSSSSSS
5.6

17.0

89

90

Answers

Answer:

5.6

Step-by-step explanation:

Sheryl got the following scores on her spelling tests.

95, 89, 99, 85, 82

Mean = sum of all observations/ Number of observations

Sum of all observations [tex]=95+89+99+85+82=450[/tex]

Number of observations = 5

So,

Mean [tex]=\frac{450}{5}=90[/tex]

Let M denotes the mean

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}[/tex]

Put [tex]n=5[/tex]

So,

Mean absolute deviation [tex]=\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6[/tex]

Answer:

5.6

Step-by-step explanation:

Line WV is perpendicular to both line RS and line TU.

On a coordinate plane, 3 lines are shown. Line V W goes through (negative 1, 5) and (1, 5). Line R S goes through (negative 5, 3) and (5, 1). Line T U goes through (negative 1, negative 2) and (4, negative 3).

Which statement must be true about line TU?

Line TU is parallel to line RS.
Line TU is perpendicular to line RS.
Line TU has no slope.
Line TU has a slope of –5

Answers

Answer:

Line TU is parallel to line RS

Step-by-step explanation:

I just got a 100 on the test

Line TU is parallel to line RS and has a slope of -1/5

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept.

Line V W goes through (-1, 5) and (1, 5). Line R S goes through (-5, 3) and (5, 1). Line T U goes through (-1,-2) and (4, -3).

Slope of VW = (5 - 5)/(1- (-1)) = 0

Slope of RS = (1 - 3) / (5 -(-5)) = -1/5

Slope of TU = (-3 - (-2))/(4 - (-1)) = -1/5

Line TU is parallel to line RS and has a slope of -1/5

Find out more on linear equation at: https://brainly.com/question/14323743

HELP, I WILL GIVE ALOT OF POINTS AND BRAINLYEST

Answers

Answer:

C

Step-by-step explanation:

first, let's find the midpoint of line TR.

((x1+x2)/2, (y1+y2)/2)

(4+8)/2= x-coordinate= 6

(-4+-4)/2=y-coordinate=-4

(6,-4) is the point of A

now, use the distance formula for U (5,-6) and A (6,-4)

d= sqrt (x2-x1)^2 + (y2-y1)^2

d= sqrt (6-5)^2 + (-4-(-6))^2

d= sqrt (1+4)

d= sqrt 5

C. sqrt 5

8x-4=2(4x-4). Does this equation have only 1 solution?

Answers

Answer:

No, it has infinitely many solutions.

Step-by-step explanation:

y + 1 3 + 7 y − 7 = 2 ( 4 y + 3 ) solve it and whats the number of solutions

Answers

8y+6=8y+6
subtract 8y from both sides
6=6
all real numbers

Answer:

Step-by-step explanation:

y+13+7y-7=2(4y+3)

8y+6=8y+6

which is true for all real values.

so number of solutions=infinite (all real values)

If you divide 78 by 34, will the quotient be greater than or less than 34? (Please help I'm desperate)

Answers

Answer:

The quotient will be less than 34

Step-by-step explanation:

When we talk of quotient, we are simply referring to the result of division.

Now, let’s divide 78 by 34, our answer is 2 10/34. The answer is slightly above two which in all terms is really less than 34.

So the correct answer to our question is that the quotient will be less than 34

How does a reflection across the y-axis change the coordinates of a shape?​

Answers

when crossing over y-axis -x,y and when crossing over x-axis x,-y
Like it just change differently and it can end up going on to the negative side of the axis

A kitchen sink faucet streams 0.5 gallons of water in 10 seconds. A bathroom sink faucet streams 0.75 gallons of water in 18 seconds. Which faucet will fill a 3-gallon container faster?

Answers

Answer:

Kitchen sink

Step-by-step explanation:

Which transformation shows a translation of 3 units to the right ?
A) A
B) B
C) C
D) D

Answers

I think it would be letter C
The answer is B. because you can see that it went to the right three times.
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