Formalizing Relations and Functions

Identify the dependent and independent variable in y = 12x - 30.

A: Dependent variable: y and Independent variable: x
B: Dependent variable: x and Independent variable: y
C: Dependent variable: x and Independent variable: x
D: Dependent variable: y and Independent variable: y


Explain how you got this step by step. a lot of you like to give false answers just for points but I really need help understanding this. Please don't answer if you arent sure Any attempt is appreciated.

Answers

Answer 1

Answer:

x is independent

y is dependent

Step-by-step explanation:

as we can change the value as we want for x

but y is dependent on the value of x. It changes as we change the value of x


Related Questions

what is 2/3 - 5/12 equal to​

Answers

Answer:

8/12-5/12=3/12 or 1/4 :)

Answer:

1/4 = 0.25

Step-by-step explanation:

2/3 - 5/12

Least common multiple of 3 and 12 is 12. Convert 2/3 and 5/12 to fractions with denominator 12.

8/12 - 5/12

Since 8/12 and 5/12 have the same denominator, subtract them by subtracting their numerators.

8-5/12

Subtract 5 from 8 to get 3.

3/12

Reduce the fraction 3/12 to lowest terms by extracting and canceling out 3.

1/4

The graph below shows the number of tickets that a movie theater sold over a four week period.





If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?

A. 520 tickets

B. 590 tickets

C. 660 tickets

D. 730 tickets

Answers

it would be 520 because it did the calculations and its right

Answer:

Actually, the correct answer is B: 590.

Step-by-step explanation:

I got right on the test. That's your proof there!

Easy easy easy point easy please explain and make it quick as possible

Answers

Answer:

--

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.

a. (3/4)*7=(3*7)/4

b. 7*(3/4)=(7*3)/4

c. 3*(7/4)=(3*7)/4

when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

Answer:

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

10 The cost to rent the cabin is $125 per night, plus a $50
non-refundable cleaning fee. Which equation would find the
total cost C of staying at the cabin for n nights?
A C = 125n + 50
B C = 50n + 125
с
n = 125C + 50
D 125
50C +n

Answers

Answer:

C=125n+50

Step-by-step explanation:

each night you stay represents "n" so if you stayed 3 nights(n)

you would multiple 125x3= 375

plus the $50 non refundable charge

John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?​

Answers

Answer:

The first plan has an initial fee.

The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.

Step-by-step explanation:

The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?

Answers

Answer:

50,000 square inches

Step-by-step explanation:

1:5 ratio so 250,000/5=50,000

ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup

Answers

Answer:

There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.

Step-by-step explanation:

Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:

1 + 4 + 3 + 2 = 10

Beef soup = 2 cans = 2/10 = 0.2 = 20%

Chicken soup = 4 cans = 4/10 = 0.4 = 40%

20 + 40 = 60

Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.

12. What is 5% of 210?

Answers

Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.5

Use the Cross Products Property to solve x/35 = 2/7.

Answers

7 times x, 35 times 2
7x=70
divide both sides by 7
x=10

Answer:

x = 10

Step-by-step explanation:

Set up:

[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]

Cross multiple:

7x = 70

Divide by 7

x = 10

NK Karate Club offers two different fees for their karate classes. Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class. Let y represent the number of karate classes attended.
a. Write an expression to represent the cost for a non-member to attend y classes.

b. Write an expression to represent the cost for a member to attend y classes.

c. Set the two expressions equal to each other and solve the equation to determine how many classes result in the same cost for a member and non-member.

Answers

Answer:

a) x = 8y

b) x = 32 + 4y

c) 8y =  32 + 4y

   

Step-by-step explanation:

-4y     -4y

8y = 32 + 4y

÷4    ÷4

4y = 32

y = 32

The expression represents the cost for a non-member to attend y classes is x=8y.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class.

Let y represent the number of karate classes attended.

a) The cost for a non-member to attend y classes is

Non-members pay $8 per class.

So, the expression is 8y

b) The cost for a member to attend y classes is

Club members are charged a one-time membership fee of $32 and pay $4 per class.

Now, the expression is 32+4y

c) Set the two expressions equal to each other, that is

8y =32 + 4y

8y-4y=32

4y=32

y=8

Therefore, the expression represents the cost for a non-member to attend y classes is x=8y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value

Answers

Answer:

1. -12x^8

2. 8x^6

3. 16x^11

Step-by-step explanation:

The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.

Multiplication table:

The given table represents the Multiplication table.

To fill the table we need to multiply the corresponding elements of that cell of the table.

For drop-down 1,

[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]

[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]

For drop-down 2,

[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]

[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]

For drop-down 3,

[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]

[tex](-4x^{11})\times (-4)=16x^{11}[/tex]

Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.

Find out more about 'Multiplication table' here:

https://brainly.com/question/17211095

which of the following is a quadrantal angle​

Answers

Question:

Which of the following is a quadrantal angle?

a) π/2        b) π/3        c) 2π/3      D) 4π/5​

Answer:

[tex](a)\ \frac{\pi}{2}[/tex]

Step-by-step explanation:

Required

Which of a to d is a quadrantal angle

An angle is said to be quadrantal if and only if the angle has its terminal side on the x or y axis.

Such angles (in degrees) are: 90, 180, 270, etc.

So, we have:

[tex](a)\ \frac{\pi}{2}[/tex]

[Convert to degrees]

[tex]\frac{\pi}{2} = \frac{180}{2}[/tex]

[tex]\frac{\pi}{2} = 90[/tex]

Hence:

[tex](a)\ \frac{\pi}{2}[/tex] is a quadrantal angle

The other options are not.

I NEED HELP PLEASE RIGHT NOW

Answers

Answer:

Average is 2 hours

6. Find the measure of angle x, y and z.
7. Find the measure of x.

Answers

Answer:

6. y = 76

x,z = 180 - 76 = 104

7.

2x = 74

x = 74 ÷ 2 = 37

LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.

Answers

Answer:

The answer is "0.0023 and Choice a"

Step-by-step explanation:

In point a:

The central limit theorem:

[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]

In point b:

The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.

A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.​

Answers

Answer:

We can use ratios for solve this problem

Cross multiply to get:

Lastly, divide both sides by 2 to isolate x

The line will be 1.25 inches

Hope this helps!

P.s. can I get Brainliest?

Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

5 lbs

Step-by-step explanation:

90 - 53.10 = 36.90

She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:

36.90 / 7.38 = 5

Raina bought 5 pounds of coffee.

8.
Which equation best describes the graph? Please give explanation and dont just put anything down for points
Y
A
8
6
4
2
-8
- 6
-4
-2
2
4
6 8
-2
-
y = - 2x + 3
с
y = -3x + }
O y = -fx +
B y = -3.x + 3

Answers

Answer:

A. y = -⅓x + 3

Step-by-step explanation:

Find the equation of the graph bin slope-intercept form, y = mx + b. Where,

m = slope = ∆y/∆x

Using two points on the line, (0, 3) and (3, 2),

Slope (m) = (2 - 3)/(3 - 0) = -1/3

m = -⅓

b = y-intercept = 3 (the y-coordinate of the point where the line crosses the y-axis)

✅To write the equation, substitute m = -⅓ and b = 3 into y = mx + b

Thus:

y = -⅓x + 3

Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.

A) $117.25

B) $1,172.59

C) $1.72

D) $17.25

Answers

Answer:

117.25

Step-by-step explanation:

( EXTRA POINTS PLEASE HELP ) in a triangle the value of (h) is 3/4 the side length which is 4.8 measure meters was that area of the triangle​

Answers

Step-by-step explanation:

[tex]h = \frac{3}{4} 4.8 \ = \\ = 3 \times 1.2 = 3.6[/tex]

[tex]area = \frac{3.6 \times 4.8}{2} = \\ = 3.6 \times 2.4 = \\ = 8.64[/tex]

15% of customers that come to your
taco truck order two tacos. If 300 guests
come to your store, how many of them
will you expect to order two tacos?

Answers

Answer:

Number of customers (double taco)= 45

Step-by-step explanation:

Giving the following information:

Double taco order rate= 15% = 0.15

Total number of customers= 300

To calculate the number of customers that order two tacos, we need to use the following formula:

Number of customers (double taco)= Double taco order rate*total number of taco

Number of customers (double taco)= 0.15*300

Number of customers (double taco)= 45

If you invest 3,500 in a savings account that pays 4% simple interest how much will the new balance be after including interest?

Answers

Answer:

New balance = 3640

Step-by-step explanation:

Given the following data;

Interest rate = 4% = 4/100 = 0.04

Principal = 3500

To find the new balance;

First of all, we would find the amount at the interest rate;

New amount = interest rate * principal

New amount = 0.04 * 3500

New amount = 140

Now, to find the new balance;

New balance = principal + new amount

New balance = 3500 + 140

New balance = 3640

A population of 384 prairie dogs live in an area of 16 km2. What is the the population density?



Question 13 options:

368 prairie dogs/km2


400 prairie dogs/km2


4 prairie dogs/km2


24 prairie dogs/km2


6184 prairie dogs/km2

Answers

Answer:

[tex]24[/tex] prairie dogs per square kilometer

Step-by-step explanation:

To find the population density, simply divide the population by the area they live in. In this case, the population is [tex]384[/tex] prairie dogs and they live in an area of [tex]16[/tex] km². Therefore, the population density is [tex]\frac{384}{16} = \bold2\bold4[/tex] prairie dogs per square kilometer. Hope this helps!

Can someone please help me with just these two thanks I will give a brainliest to the correct answers

Answers

Answer:

7. [tex]c = 15.81[/tex]

8. [tex]b = 16[/tex]

Step-by-step explanation:

Required

Determine the third sides

(7): We have

[tex]b = 5[/tex]

[tex]a = 15[/tex]

[tex]c=??[/tex]

To find c, we make use of Pythagoras theorem

[tex]c^2 = a^2 + b^2[/tex]

[tex]c^2 = 5^2 + 15^2[/tex]

[tex]c^2 = 250[/tex]

[tex]c = \sqrt{250[/tex]

[tex]c = 15.81[/tex]

(8): We have

[tex]c = 20[/tex]

[tex]a = 12[/tex]

[tex]b = ??[/tex]

To find c, we make use of Pythagoras theorem

[tex]c^2 = a^2 + b^2[/tex]

[tex]20^2 = 12^2 + b^2[/tex]

[tex]400 = 144 + b^2[/tex]

[tex]b^2 = 400 - 144[/tex]

[tex]b^2 = 256[/tex]

[tex]b = \sqrt{256[/tex]

[tex]b = 16[/tex]

Find the equation for the line shown on the right.
What is the equation for the line shown on the right?
(Simplify your answer. Type your answer in standard form, using integer
coefficients with A20.)

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

The line graph

First, consider the following points on the graph.

[tex](x_1,y_1) = (8,0)[/tex]

[tex](x_2,y_2) = (8,8)[/tex]

First, calculate the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8-0}{8-8}[/tex]

[tex]m = \frac{8}{0}[/tex]

[tex]m =[/tex] undefined

Since, the slope is undefined; we simply consider only the value of x.

The line equation is:

[tex]x = 8[/tex]

A baker has determined that four every
4 pounds of flour, she can make 6
loaves of bread.

Answers

Hi! Where is the rest of this question

Which expression is equal to 45x4-7: 4-2

Answers

Answer:

173

Step-by-step explanation:

45(4)-7

180-7

173

Square root X less than or equal to 10

Answers

Answer:

It could be restated as [tex]\sqrt{x} \leq[/tex] 10, if that's what the question asked.

9x+10y =1 9x-6y=-15 solve using elimination

Answers

Answer:

I. x = -1

II. y = 1

Step-by-step explanation:

Given the following algebraic expressions;

9x + 10y = 1 .......equation 1

9x - 6y = -15 ......equation 2

To solve using the elimination method, we would subtract eqn 1 from eqn 2.

(9x - 9x) + (-6y - 10y) = (-15 - 1)

0x - 16y = -16

-16y = -16

16y = 16

y = 16/16

y = 1

Next, we would find the value of x;

From eqn 1;

9x + 10y = 1

Substituting the value of y, we have;

9x + 10(1) = 1

9x + 10 = 1

9x = 1 - 10

9x = -9

x = -9/9

x = -1

Please help, hard question

Answers

Answer:

6, 24, 96, 384

Step-by-step explanation:

start with 6 and multiply each successive term by 4

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