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4 years ago

What is the inverse of y = x+3/4 ? a. y=x-3/4 b. y=4x-3 c. y=4x+3 d. y= x-3/-4

Mathematics

2 answers:

ycow [4]4 years ago

5 0

Its A.
All they are asking you to do is switch the x and y then solve for y again

viva [34]4 years ago

4 0

Y = x + 3/4

x = y - 3/4

swap the variables:-

y = x - 3/4 (answer). Its a.

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Suppose that P is the point on the unit circle obtained by rotating the initial ray counterclockwise through 330 degrees. Find t

Flauer [41]

Answer:

Reference angle will be 30°

sin(330°) will be equal to $\frac{-1}{2}$

cos(330°) will be equal to 0.866

Step-by-step explanation:

We have given angle is 330°

As the angle $330^{\circ}$ is in forth quadrant

We know that in forth quadrant the reference angle is given by

Reference angle $=360-angle$

As the angle is 330°

So the reference angle will be $=360-330=30^{\circ}$

Now we have to find the value of

sin(330°) $=sin(2\pi -30)=-sin(30)=\frac{-1}{2}$

And now $cos(330^{\circ})=cos(2\pi -30)=cos30=0.866$

4 0

3 years ago

Sarah's parents are filling their swimming pool. Her pool holds 22,000 gallons. it take 16 hours to fill . what unit would you s

Aneli [31]

The rate would be 22000 gallons per 16 hours or rate = 22000/16 = 1375 gallons/hr

8 0

3 years ago

Read 2 more answers

1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating

elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x 0 10 20 30 40 50 60 70

Income, I 0 45 90 135 180 225 270 315

Expenses, E 130 142.5 155 167.5 180 192.5 205 217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

8 0

2 years ago

If y = 5x − 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

andre [41]

U would solve this by subbing in ur answer choices to see which ones make the equation true.

ur answer is : (-1,-8) , (0,-3), (3,12)

4 0

3 years ago

Someone please help me !

Greeley [361]

(2,5) I think I’m sorry if I’m wrong:/

5 0

3 years ago