Find the inverse.
f(x) = 3x+28

Find The Inverse. F(x) = 3x+28

Answers

Answer 1

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

Interchange the variables [tex]x[/tex] and [tex]y[/tex]

[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]


Related Questions

The ratio of 1.4 to 29 is the same as the ratio of 2.8 to

Answers

Answer: Is the same as  2.8 to 58

Step-by-step explanation:

The ratio 1.4 to 29  could be written as 1.4/29  and the ratio 2.8 could be as  

2.8/ x  where x it he missing number.

Now set up a cross product equation to solve for x.

[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex]      Cross multiply

1.4x = 81.2     Divide both sides by 1.4

x= 58  

In a hotel a servant needs to clean 30 rooms in 3 hours. How many rooms a servant needs to clean in 6 hours

Answers

Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of juice. One of Ms. Albero's students said show will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? *

Answers

Answer:

Yes, the student is correct.

Step-by-step explanation:

2*4=8 scoops

1/2*4=2 gallons

Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.

I hope this was helpful!

4= 6/a x +5
solve for x

Answers

A=30 since you are multiplying 6 & 5

Each school bus can hold 65 students. If there are 8 buses, how many students can ride the bus?

Answers

Answer:

520

Step-by-step explanation:

30 divided by 1.25 with work

Answers

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

The result is: 30 divided by 1.25 equals 24.

To divide 30 by 1.25, follow these steps in words:

The division 30 ÷ 1.25 can be written as the fraction 30/1.25.

Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.

Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:

30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125

Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:

GCD of 3000 and 125 is 25.

3000 ÷ 25 = 120

125 ÷ 25 = 5

So, 3000/125 simplifies to 120/5.

Divide the numerator by the denominator to get the final result.

Now, simply divide the numerator (120) by the denominator (5):

120 ÷ 5 = 24

The result is 24.

So, 30 divided by 1.25 equals 24.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Solve the equation algebraically (x-8)^2=25

Answers

Hey there!

ANSWER: [tex]x=8,13[/tex]EXPLANATION:

[tex](x-8)^2=25[/tex]

To solve this equation, you will need to simplify both sides.

[tex]x^2-16x+64=25[/tex]

Now we will need to minus(subtract) 25 from both sides of the equation.

[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]

Now we will need to factor out the left side.

[tex](x-3)(x-13)=0[/tex]

In our last step, we will need the set factors equal to zero.

[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.

Answers

someone said this was wrong and I realized that I was just confused so i fixed it

it's 3:1

Answer:

b

Step-by-step explanation:

Suppose that the x-intercepts of the graph of y=f(x) are -9 and 3. What are the x intercepts of y= f(x+3)

Answers

Answer:

the anwser is 6

Step-by-step explanation:

Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.

therefore, just plug them in.

The telephone company offers two billing plans for local calls. Plan 1 charges ​$30 per month for unlimited calls and Plan 2 charges ​$13 per month plus ​$0.04 per call.

Answers

Answer:

Is there anything else to add onto the question? What are you trying to find :)?

At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.

Answers

Answer:

3.2

Step-by-step explanation:

Jasmine is a structural engineer. She designs the lift hill of a roller coaster that models the equation y=x3, where y is the height and x is the length from the start of the lift hill. Using this model, how far from the start of the lift hill does the ride reach a height of 343 meters?​

Answers

Answer:

the anwser is 7 buddy hope it helps

which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet

Answers

Answer:

ft is premeter of triangle

Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?

Answers

Answer:

80

Step-by-step explanation:

20 / 25 = 0.8 = 80%

Answer:

80%

Step-by-step explanation:

20/25 = 0.8 = 80%

Angle RST below is a right angle. What is the measure, in degrees, of

Answers

Answer:

RSM = 56.4

Step-by-step explanation:

RSM + MST = RST

RSM + 33.6= 90

Subtract 33.6 from each side

RSM + 33.6 - 33.6= 90-33.6

RSM= 90-33.6

RSM = 56.4

RST is a right angle, and right angles are 90 degrees

RST = 90 degrees

MST = 33.6 degrees

RSM = ?

The angles MST and RSM add up to 90 degrees

90 = 33.6 + RSM

Subtract 33.6 from both sides

56.4 degrees = RSM

When a number x is multiplied by 6, the result is 3/8 What is the value of x?​

Answers

Answer:

1/16.

Step-by-step explanation:

6x  = 3/8

Divide both sides by 6:

6x / 6 = 3/8 / 6

x = 3/8 *  1/6

= 3/48

= 1/16.

.Find the unknown angles in each of the following figures and mention the property used​

Answers

Answer/Step-by-step explanation:

a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°

x + y + 50° = 180° (sum of angles in a ∆)

x + 80° + 50° = 180 (substitution)

x + 130° = 180°

x = 180° - 130° (subtracting 130 from each side)

x = 50°

b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)

x = 120 - 50 (subtracting 50 from each side)

x = 70°

y + x + 50° = 180° (sum of angles in a ∆)

y + 70° + 50 = 180° (substitution)

y + 120° = 180°

y = 180 - 120 (subtracting 120 from each side)

y = 60°

7. Marisa has $26 in her purse. She pays $5 for
lunch Which
expression represents this situation? A. -26 -
(-5) B.-26 + 5 C. 26 + (-5) D. 26 + 5

Answers

Answer: I think the answer is C

Answer:

yea i agree with kassidy

4a=23 Solve the equation. 4a=23 a=

Answers

Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

Find the value of the variables in the figure to the right.

Answers

Answer:

x = 9

y = 56

Step-by-step explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

[tex] 3x + 7 + 6x + 2 = 90 [/tex]

Collect like terms

[tex] 3x + 6x + 7 + 2 = 90 [/tex]

[tex] 9x + 9 = 90 [/tex]

Subtract 9 from each side

[tex] 9x + 9 - 9 = 90 - 9 [/tex]

[tex] 9x = 81 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56

What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63

Answers

Answer:

7

Step-by-step explanation:

3x – one-ninthy = 18, when y = 27?

one-ninthy 27 = 3

3x - 3 = 18

3 x 7 = 21

21 - 3 = 18

hope this helps

Answer:

7

Step-by-step explanation:

answered on edge

simplify to create an equivalent expression -4(z+3)-4(5-4z)

Answers

the simplified answer is 12z-32

Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a

Answers

Answer:

Mean = 0

Variance = 4/3

Standard Deviation √4/3

a= 0.9

Step-by-step explanation:

If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12

Here a=  -2 and b= 2

Now finding the mean = a+b/2=-2+2/2= 0

Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3

Standard Deviation = √Variance= √4/3

b) [tex]\int\limits^a_b f({x}) \, dx[/tex]=  \int\limits^a_a {\frac{1}{a- (-a)} } \, dx

                =1/2a[x]^a_-a= 2a/2a= 1  (applying the limits to the function)

P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a    (applying the limits to the function)

P(−a<X<a)= 0.9

a= 0.9

In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.

Using the uniform distribution, we have that:

The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.

An uniform distribution has two bounds, a and b.

In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].

The mean is:

[tex]E(X) = \frac{a + b}{2}[/tex]

Hence:

[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]

The variance is:

[tex]V(X) = \frac{(b - a)^2}{12}[/tex]

Hence

[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]

The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]

A similar problem is given at https://brainly.com/question/14767944

9) 1 = 0.99 + z? 10​

Answers

Answer:

0.99+10=10.99

Step-by-step explanation:

Evaluate f(x)=-2×+5 for f(-5)​

Answers

Answer:

f(-5) = 15 (A)

Step-by-step explanation:

f(x) = - 2x + 5

replace x = - 5

f(-5) = -2(-5) + 5

(-)(-) = +

f(-5) = 10 + 5

f(-5) = 15 (A)

f(-5) = -2(-5) + 5

(-)(-) = +

f(-5) = 10 + 5

f(-5) = 15 (A)

Write the equation of the line that passes through (2, 4) and has a slope of -1 in point-slope form.

Answers

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

Find the vertex of the parabola with the equation y=-5x^2+30X+35

Answers

Your vertex is (-3,-10)

The 2nd one is right just did the test

Answers

Answer:

ok lol

Step-by-step explanation:

Answer:

Is it just me or after this did you just put the 2nd answer for every question after this and failing every test I have taken

Step-by-step explanation:

Jazziel bought a smart phone 5 years ago for $90. His sister paid 30% more for the same model. Show your work in the space provided to answer the following questions. Part A: How much more did his sister pay for her phone? a) $27 b) $30 c) $36

Answers

Answer:

B

Step-by-step explanation:

90/3=30

Camden drove 320 miles in 8 hours. If he continued at the same rate, how far would he travel in 7 hours?

Answers

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

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