7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?

Answers

Answer 1

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

Answer 2

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

What is an equation?

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

To know more about equations:

https://brainly.com/question/12788590

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Related Questions

5 ounces of potatoes produce about 20 calories. What is the unit rate in
calories per ounce?

Answers

Answer:

4 calories per ounce.

Step-by-step explanation:

20/5 = 4

1 ounce =4 calories

Find the x and y intercepts

Answers

Answer:

x:(-1,0),(5,0)

y:(0,-2)

Answer:

see explanation

Step-by-step explanation:

The x- intercepts are where the graph crosses the x- axis

The graph crosses the x- axis at x = - 1 and x = 5 ← x- intercepts

The y- intercept is where the graph crosses the y- axis

The graph crosses the y- axis at - 2 ← y- intercept

Write the equation of the mine in fully simplified slope intercept form

Answers

The answer would be -5/3x+8
y = -5/3x + 8

Y intercept = Where the equation starts.
In this case, 8.

Slope = 5 down and 3 run
-5 and 3 = -5/3

please mark brainiest :)

Type the integer that makes the following addition sentence true: 9 + what = 2​

Answers

I believe the answer to be (-7)

Answer:

-7

Step-by-step explanation:

Step 1: Make an equation.

[tex]9 + x = 2[/tex]

Step 2: Subtract 9 from both sides.

[tex]9 + x - 9 = 2 - 9[/tex] [tex]x = -7[/tex]

Step 3: Check if solution is correct.

[tex]9 + (-7) = 2[/tex] [tex]9 - 7 = 2[/tex] [tex]2 = 2[/tex]

Therefore, the integer that makes the addition sentence true is -7.

what is the slope of the line on this graph

Answers

Answer:

-1/3 is the slope for this graph

Step-by-step explanation:

-2/6

help me pls, solve it using the arithmetic or geometric formula​

Answers

Answer:P2,700,000

Step-by-step explanation:

P100,000 must be added to the purchase price every year from 2009 to 2021.  A formula calculating the value, V, as a function of time, t, where t is years since 2009, would be:

V(t) = P1,500,000 + (t - 2009)*(100,000)

V(2021) = P1,500,000 + (2021 - 2009)*(100,000)

V(2021) = P2,700,000

[Warning:  This prediction assumes no housing bubble drop or general recession.  It also assumes consistent government policies regarding home ownership.  If there were a probability component to the question, it is likely that the overall probability is zero that this is calculation will hold true.  This isn't important to answering the question, but it does allow me to vent a bit.]

The population of a city increases by 0.9% per year. If this year's population is 261,000, what will next year's population be, to the nearest individual?

Answers

Answer:

263349

Step-by-step explanation:

I did mental math and big brain

The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle. PLSSS HELP

Answers

Answer:

43.2

26.4

6

Step-by-step explanation:

so first if we know that the loger side's ratio is 6 we divided by 7.2

7.2 divided by 6 which is 1.2

so we mulitply the 5 by 1.2

so the shorter side is 6

6 x 7.2 = 43.2 is the area

14.4 + 12 = 26.4 is the perimeter


A sloth crawled 6 cm in one second. What was its speed in km/h? (1 hr =
3600 s) (1 km = 100,000 cm)

Answers

Step-by-step explanation:

it was measured that the south crawled 6cm in 1 second.

that gets expressed by the ratio

6 cm/sec or formally correct 6/1 cm/sec.

to get that speed in km/h (kilometers per hour), we need to transform the denominator of that ratio to 1 hour.

the only way we can manipulate a fraction or ratio without changing its value is by multiplying numerator and denominator (top and bottom) by the same factor.

like x/y × 3/3 = 3x/3y.

the driver behind a question of this kind is again the denominator. we want the denominator to appear as 1 hour.

so, what do I need to multiply 1 second with to get 1 hour ?

the problem definition tells us : 3600, as there are 3600 seconds in 1 hour.

so, we need to multiply

6/1 × 3600/3600 = (6×3600)/3600 = 21600/3600 =

21600cm/1 hour.

and now, how many km are 21600 cm ?

1 km = 100000 cm

so,

21600cm = 21600/100000 km = 0.216 km

therefore, or full answer is

the sloth's speed was 0.216 km/h

48:09
Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24 + 56. Her work is shown below.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

24 + 56 = 8 (4 + 7)

What statement best describes Simone’s error?
Simone did not use the correct factors for 24 in the equation.
Simone did not use the correct factors for 56 in the equation.
Simone did not use the greatest common factor in the equation.
Simone did not use the correct operations in the equation.

Answers

For this case we have the following expression:
24 + 56
The factors of the numbers are:
24: 1, 2, 3, 4, 6, 8, 12, 24
56: 1, 2, 4, 7, 8, 14, 28, 56
So, factoring we have:
24 + 56 = 8 (3 + 7)
Simone wrote:
24 + 56 = 8 (4 + 7)
Therefore his error is:
Simone did not use the correct factors for 24 in the equation
Answer:
Simone did not use the correct factors for 24 in the equation

CAN SOMEONE PLS HELP ME WITH THIS QUESTION IM MARKING BRAINLEIST

Answers

Answer:

Step-by-step explanation:

We can pick the two coordinates again, such as (90,70) and (10,50)

And use the formula m=y1-y2/x1-x2

m= (70-50)/(90-10)

=20/80

=1/4

1) Given A = {1, 2, 3, 4, 5 }; B = {2,4,6,83 2,4,6,8} Find A∩B, A-B

2) Is it true to say that sin ( A+B) = -sinA + sinB

3) prove that ( tan theta - sin theta ) / ( tan theta + sin theta ) = ( sec theta - 1 ) / ( sec theta + 1 ) ​

Answers

Answer:

A∩B = 2,4

A-B = 1,3,5

sin (A+B) = sin(A)cos(B)+cos(A)sin(B)

Step-by-step explanation:

A intersects U means the numbers that are coming to both A and U

set a minus set b of the numbers that are not common to B

multiply the numerator and the denominator by csc(x)

NOTE: I substituted x for theta as I don't have theta on my phone

[tex] \frac{ \csc(x) }{ \csc(x)} \frac{ \tan(x) - \sin(x) }{ \tan(x) + \sin(x) } = \frac{ \sec(x) - 1}{ \sec(x) + 1} [/tex]

[tex] \frac {\csc(x)}{\csc(x)} \frac {\frac ({\sin(x)}{\cos(x)}-\sin(x)} {\frac ({\sin(x)}{\cos(x)} + \sin(x)}) [/tex]

May I please receive help

Answers

Answer:

the slope is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope of ║ line is ( - [tex]\frac{5}{4}[/tex] )

slope of ⊥ line is [tex]\frac{4}{5}[/tex]

Need help ASAP points 50

Answers

Answer:

f(-2) = -28

Step-by-step explanation:

f(x) = 12x-4

Let x = -2

f(-2) = 12(-2) -4

Multiply

    = -24-4

Add

  = -28

(Edmentum)
Part A Write an expression to find size of the largest jellyfish. Represent the expression in meters as a product of two numbers in scientific notation.

Answers

Answer:

The expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.

Step-by-step explanation:

A jellyfish can be up to 1 × 108 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 108 times.

The size of a femtoplankton is 2 × 10-8 meter. That means the expression for the size of the largest jellyfish 1 × 108 • 2 × 10-8 meters.

how do you find the answer to -9+p=12

Answers

Answer:

P=21

Step-by-step explanation:

Add 9 to 12

Answer: Heyy bestie ❤️ The Answer is 21

Step-by-step explanation:

P-9=12

p=12+9

p=21

If f(x)= x² + 3x –10, then over which of the following intervals is f(x) <0?

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (−∞,∞)

Set-Builder Notation: {x|x∈R}

f(x) is continuous on (−∞,0).

The function is continuous.

Step-by-step explanation:

Adult tickets to
the fall play cost $8 and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets to the fall play. If the class
collected $880 from
ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is?

Answers

Substitution.
Adult tickets = A (cost $8)
student tickets = S (cost $4)

The drama class sold 20 more adult tickets than student tickets:
A = S + 20 (equation 1)

The class collected $880 from tickets:
8A + 4S = 880 (equation 2)

How many adult tickets were sold?
A = S + 20
8A + 4S = 880

we substitute the first equation into the second:
8(S+20) + 4S = 880
8S + 160 + 4S = 880
12S = 720
S = 60

Next we find the adult tickets by substituting back:
A = S + 20
A = 60 + 20
A = 80

Check our answer by substituting our answers in equation 2:
8A + 4S = 880 (equation 2)
8(80) + 4(60) = 880
640 + 240 = 880
880 = 880

Please solve this geometry math problem... I will mark you brainliest

Answers

There you go! Hope it helps.

Classify the triangle. Find the value of x

Answers

Answer:

45-45-90, x = -7

Step-by-step explanation:

The triangle is 45-45-90

45 = x + 52

x = -7

Complete the statement. Round to the nearest hundredth if necessary.

3 km = m

Answers

Answer:

3km=3000m

Step-by-step explanation:

if 1 km=1000m,

3 km:     3 x 1000 = 3000m

hope this helps :)

2a+4=3 what is the value of a???????

Answers

Hey there!

2a + 4 = 3

ADD 4 to BOTH SIDES

2a + 4 - 4 = 3 - 4

CANCEL out: 4 - 4 because that gives you 1

KEEP: 3 - 4 because it helps solve for the a-value

2a = 3 - 4

3 - 4 = -1

2a = -1

DIVIDE 2 to BOTH SIDES

2a/2 = -1/2

CANCEL out: 2/2 because it gives you 1

KEEP: -1/2 because it gives you the value of the a-value

a = -1/2

SIMPLIFY IT!

Therefore, your answer is: a = -1/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Graph the following Standard Form equation.
​3x + 4y = 12

Answers

Answer: See my graph below

Step-by-step explanation:

should be (0,3), (4,0) but im not completely sure!!

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $750. The store has a sale where all bicycles cost25of the regular price. What is the sale price of the bicycle?

Answers

Answer:

$187.50

Step-by-step explanation:

change 25% into a decimal: 0.25

the you will multiply:

0.25 × 750 = $187.50

If DEKL, then M _____ F.

Choose the relationship symbol to make a true statement.

<

=

>

Answers

Answer:

MLEF

<

Step-by-step explanation:

I hope this helps...

Solve the system by substitution.
−5x+2y=14
y=3x+2

Answers

Answer:   x = 10; y = 32

Step-by-step explanation:

let   −5x+2y=14   be [1]

&        y=3x+2    be [2]  

Finding the value of x

By substituting y in [2] for y in [1]

⇒  −5x + 2(3x+2) = 14         [expand the bracket]

⇒     -5x + 6x + 4 = 14         [subract 4 from both sides and simplify]

⇒                       x = 10

Finding the value of y

Since x =10, we can substitute value of x into [2]

⇒     y = 3(10) + 2

⇒     y = 32

What is a Graphic representation of association between variables

Answers

Such a graphical representation is called a scatterplot. A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis.

HELPPPP PLEASEEEEEEE!!!!

Answers

is it multiple choice? if so then it’s 2 n 3

Answer:

Depends on the range of x

Step-by-step explanation:

Does that make sense to you

what is the multiplication inverse of -3/11 and they also said they wanted the improper inverse and mixed number and if you could also explain it to me that would be amazing ​

Answers

Answer:

3/11

Step-by-step explanation:

because 334443

An art teacher has 47 1/3 pounds of clay.he wants to give each student in his class 2 1/2 pounds of clay. The teacher estimates that he has enough clay for 9 students. Is this the best estimates explain

Answers

Answer:

47 1/3 = 142 / 3      total clay

2 1/2 = 5 / 2      clay required for each student

If we divide total clay by clay per student

(142 / 3) / (5 / 2) = 284 / 15 = 18.9

So he should have enough clay for 18 students

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