Kira’s monthly gym bill is $50 plus $15 per class. She signs up for at least one
class each month. Write a linear function to represent Kira’s gym cost. What do the domain and range of the function represent?

Kiras Monthly Gym Bill Is $50 Plus $15 Per Class. She Signs Up For At Least One Class Each Month. Write

Answers

Answer 1

Using a linear equation, it is found that:

The linear function is: [tex]C(n) = 50 + 15n[/tex]

The domain of the function is: [tex]D_C = [0,\infty)[/tex]

The range of the function is: [tex]R_C = [50,\infty)[/tex]

----------------------------

The linear equation for her monthly bill, considering she goes to n classes, has the following format:

[tex]C(n) = C_f + an[/tex]

In which

[tex]C_f[/tex] is the fixed cost.a is the cost per class.

----------------------------

Monthly bill of $50 plus $15 per class means that: [tex]C_f = 50, a = 15[/tex].

Thus, the linear function is:

[tex]C(n) = 50 + 15n[/tex]

----------------------------

The domain is the input, that is, n, the number of classes she can go. It is of 0 or greater, thus: [tex]D_C = [0,\infty)[/tex].The range is the output, that is, C, the possible costs, which ranges from 50(0 classes), to infinity, and thus: [tex]R_C = [50,\infty)[/tex].

A similar problem is given at https://brainly.com/question/10891721


Related Questions

YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What number makes this statement true? (12×3)×6=12×( □×6)

Answers

Answer:

3

Step-by-step explanation:

12 times 3 = 36

36 times 6 = 216

12(x times 6)

(12)6x

72x

216 = 72x

216/72 = 3

Answer:

The number 3 makes this statement true.

[tex]x=3[/tex]

Step-by-step explanation:

Given the equation:

[tex](12*3)*6=12*(x*6)[/tex]

Using the order of operations, we can evaluate the terms in the parentheses through the process of multiplication:

[tex]36*6=12*6x[/tex]

Multiply the terms on both sides of the equation:

[tex]216=72x[/tex]

Finally, divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]72[/tex]:

[tex]3=x[/tex]

[tex]x=3[/tex]

-

Let's check our work by substituting the solved [tex]x[/tex] value for

[tex](12*3)*6=12*(3*6)[/tex]

[tex]36*6=12*18[/tex]

[tex]216=216[/tex]

Since both sides of the equation are equal to each other, our solution is correct!

-3(2m+1)+7=-5
What does m equal?

Answers

Answer:

m = 3/2

Step-by-step explanation:

-3(2m+1)+7=-5

Distribute

-6m -3 +7 = -5

Combine like terms

-6m +4 = -5

Subtract 4 from each side

-6m+4-4 = -5-4

-6m =-9

Divide each side by -6

-6m/-6 = -9/-6

m = 3/2

-8=x+ll/-2 solve for x step by step and answer

Answers

Answer:

x=(-5)/2

Step-by-step explanation:

-8×(-2)=-2x+11

16-11=(-2x)

x=(-5)/2

1-37.
Write an expression for the area of each rectangle below.
a.
b.
11
0 0 C
11
cm
3x
3 cm
Please give me an equation for each a and b PLEASEE I’ll give you Brainly lol

Answers

Answer:

a. 33 sq.m

b.33x sq.m

Step-by-step explanation:

In a) formula of area of rectangle is:

Area= length * width

where 3m is width and 11m is length

Now area = 3 *11

area= 33 sq.m

In b) formula is same as above

area= 3x * 11

area= 33x sq.m

kristen is paid $5.60 per hour. she works 6 hours on saturday, 3 hours on sunday, and 5 hours on monday. on saturday her hourly rate in 1,1/2 times her

Answers

Answer:

This is an incomplete question.

Step-by-step explanation:

Can you please repeat the question properly.

please help! this is due my today and i don't understand it

Answers

Answer is B I did this and got it correct

how do you classify 2x^3-9x​

Answers

Answer:

it is a cubic bi-nominal

Step-by-step explanation:

Answer:

Step-by-step explanation:

before it is factored, it is a binomial. I think that is the way I would answer the question. If you take out an x, you get one monomial and something that does not factor giving rational results for the numerical coefficients.

x (2x^2 - 9) This can't be factored giving rational coefficients.

Plz help answer this question

Answers

Answer:

Option I

Step-by-step explanation:

Let

[tex]f(x)=x^2+3x-28[/tex]

We know by subsitution,

[tex]f(-9)=(-9)^2+3(-9)-28=26>0[/tex]

[tex]f(0)=0^2+3(0)-28=-28<0[/tex]

[tex]f(5)=5^2+3(5)-28=12>0[/tex]

Since a quadratic equation only have 1 turning point, we know for some values a in (-9, 5) such that f(a)<0. And the option of the range of a must lie with in (-9, 5).

Therefore, only Option I is correct.

Given f(3) = -x + 2, find f(6).

Answers

Answer:

f(6) = -4

Step-by-step explanation:

given:

[tex]f(x) = -x+2[/tex]

find:

[tex]f(6) [/tex]

~~~~~~~~~~~~

➡️ [tex] f(6) = -(6) + 2[/tex]

➡️ [tex] f(6) = -(6 -2) [/tex]

➡️ [tex] f(6) = -4 [/tex]

What is the value of x in the equation 3x - 4 (2x - 5) = 15

Answers

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

Answer: x = 1

Step-by-step explanation:

Given

3x - 4 (2x - 5) = 15

Expand parentheses and apply the distributive property

3x - 4 · 2x - 4 · (-5) = 15

3x - 8x + 20 = 15

Combine like terms

(3x - 8x) + 20 = 15

-5x + 20 = 15

Subtract 20 on both sides

-5x + 20 - 20 = 15 - 20

-5x = -5

Divide -5 on both sides

-5x / -5 = -5 / -5

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Round 557 to the nearest hundred.

550
560
500
600

Answers

Answer:

600

almost got confused with hundredth lol decimals

Answer:

600

Step-by-step explanation:

determine whether y varies directly with x. if so, find the constant k and write the equation x =6,18,54,162 y= 24,72,216,648

Answers

Answer:

y = 4x

k = 4

Step-by-step explanation:

helppppppppppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

-9 (Unnecessary Stuff)

Answer:

-9

math websites helpp:)

Need help explaining why this happens

Answers

Just like 2 squared = 4, the square root of 2 multiplied by itself will result in a product of 2. Squaring a number always means multiplying that number by the same number.

Find the GCF from the two numbers, and rewrite the sum using the distributive property. 24 + 36

Do not put any spaces in your answer​

Answers

Answer:

i dont really know to be honest

Help me with this question!

Answers

Answer:

...

Step-by-step explanation:

Is (8, –2) a solution to the equation y = 2?

Answers

Answer:

No

Step-by-step explanation:

Any point that aligns on the line of y = 2 is a solution. But (8, -2) falls below that line since the point's y-coordinate is equal to -2, not 2. Hope this helps!

No it is not, because y=2 would just be a horizontal line across the 2 in the y axis. But (8,2) would be a solution.

what is 0.714285 repeating as a fraction

Answers

Answer:

5/7 i believe thats the answer to your question

evaluate it..........​

Answers

Answer:

the answer is [tex]\frac{1}{41} (23x-2ln(5sinx+4cosx))[/tex]

Step-by-step explanation:

[tex]\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx[/tex]

here,

a=3, b=2, c=5, d=4

[tex]M=\frac{ac+bd}{c^2+d^2 }=\frac{3*5+2*4}{5^2+4^2}=\frac{23}{41}[/tex]

[tex]N=\frac{bc-ad}{c^2+d^2 }=\frac{2*5-3*4}{5^2+4^2}=\frac{-2}{41}[/tex]

[tex]\int {\frac{3sinx+2cosx}{5sinx+4cosx} } \, dx=\int{\frac{\frac{23}{41}(5sinx+4cosx)-\frac{2}{41}(5cosx-4sinx) }{5sinx+4cosx} }\,dx[/tex]

[tex]=\frac{23}{41}\int\, dx -\frac{2}{41} \int{\frac{5cosx-4sinx}{5sinx+4cosx} }\, dx[/tex]

[tex]=\frac{1}{41} (23x-2ln(5sinx+4cosx))[/tex]

pls mark it as the brainliest

anyone this help ,,,,,​

Answers

Answer:  {t,h,s} which is choice A

=======================================================

Explanation:

We start with set M = {m,a,t,h,s}

Then we cross off any letter we find in set N

So we'll cross off the 'm' and 'a' since they are both in N. We're kicking these letters out of the set.

We go from {m,a,t,h,s} to {t,h,s}

We leave t,h and s alone as those letters aren't in set N. So we don't kick them out.

Answer: {t,h,s}  choice A

Peter has a bag of marbles. In the bag are 4 white marbles, 2 blue marbles, and 6 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles

Answers

Answer:

0.2272727

Step-by-step explanation:

The total number of marbles to begin with is 4 + 2 + 6 = 12

He draws 1 marble, which makes the total 11

He draws another marble, which makes the new total 10

6/12 * 5 / 11 = 30 / 132 = 1/2 * 5 / 11 = 5/22

I take it that the approximate probability is a decimal.

30/132 = 0.22727 ...

5/22 = 0.2272727 ....

The answers to the two fractions are the same and approximately the right answer of 5/22

simplify the expression

(1.5 × 10^-6) × (4 × 10^9)​

Answers

Answer:

[tex]6 \times {10}^{3} = 6000[/tex]

Step-by-step explanation:

[tex](1.5 \times {10}^{ - 6} ) \times (4 \times {10}^{9} )[/tex]

[tex] = (1.5 \times 4) \times ( {10}^{ - 6} \times {10}^{9} )[/tex]

[tex] = 6 \times ( {10}^{ - 6} \times {10}^{9}) [/tex]

[tex] = 6 \times {10}^{ - 6 + 9} [/tex]

[tex] = 6 \times {10}^{3} [/tex]

[tex] = 6000[/tex]

Convert .18 into a fraction. Simplify

Answers

Answer: B

Explanation:

6 3/8

= 6 + 3/8
= 6 + 0.375
= 6.375

Which one of the following pairs of sets has no members in common?

{all composite numbers} , {all odd numbers}

{all multiples of three} , {all multiples of four}

{all odd numbers} , {all even numbers}

{all prime numbers} , {all even numbers}

none of these

Answers

Answer:

{all multiples of three} , {all multiples of four}

Step-by-step explanation:

hope it helps u

pls mark me as branliest

Answer:

option d!!!!!!

12, and 18

5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000​

Answers

Answer:

92% of Income is  Rs 18400

Step-by-step explanation:

I = 18400/.92 = Rs 20000

(-6) + (-8) + (-3)² + (-13)
işleminin sonucu kaçtır?
A-3
B) -6
C) -8
D) -24

Answers

Answer: -6 is the answer

Chcek the file step by step calculation

Please like my answer if it helps you.

The choose B) –6

Ans; (-6)+(-8)+(-3)²+(-1³) = -6 -8 +9-1= –6

I hope I helped you^_^

F(x) = Х
Need to transform it into a vertical stretch by a factor of 2 followed by translation 1 unit up

Answers

32 I think my is the answer

11) Dan worked 7 3/4 hours on Saturday and 6 2/3 hours on Sunday. He earns
$15 3/4 per hour. How much did he make that weekend?

Answers

Answer:

[tex]227 \frac{1}{16} [/tex]

Step-by-step explanation:

[tex]15 \frac{3}{4} \times (7 \frac{3}{4} + 6 \frac{2}{3} ) [/tex]

[tex] = \frac{63}{4} \times ( \frac{31}{4} + \frac{20}{3} )[/tex]

[tex] = \frac{63}{4} \times ( \frac{93}{12} + \frac{80}{12} )[/tex]

[tex] = \frac{63}{4} \times \frac{173}{12} [/tex]

[tex] = 227\frac{1}{16} [/tex]

Line RS bisects segment PQ at R. If RQ = x + 9 and RP = 2x, find PQ.

Answers

Answer:

PQ measures 36 units.

Step-by-step explanation:

Line RS bisects segment PQ at R. By the definition of a bisector:

[tex]\displaystyle PR = RQ[/tex]

Hence:

We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.

Solve for x. Substitute:

[tex]\displaystyle (2x) = (x+9)[/tex]

Hence:

[tex]\displaystyle x = 9[/tex]

PQ is given by:

[tex]\displaystyle PQ = PR + RQ[/tex]

Since PR = RQ:

[tex]\displaystyle PQ =2PR[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]

Hence, PQ measures 36 units.

Practice
1. Hyatt Home Improvement uses H-shaped tile Design 1 Design 2
Design 3
designs on their buildings, advertisements, and
vehicles. The designs they use follow a specific
pattern. The first three designs are shown.
a. Describe the pattern in the designs.
b. Write two different expressions to represent
the number of tiles used in Design n. Use
algebraic properties to prove the two expressions are equivalent.
c. Explain how you could use technology to prove the two expressions in part (b)
are equivalent.
d. Create a table that displays the number of tiles used in each of the first 6 designs.
e. Create a graph of the data points in your table on the coordinate plane shown. Draw a smooth
curve to connect the points.
f. Do all of the points on the smooth curve make sense in terms of the problem situation? Explain
your reasoning.
g. Describe the pattern as linear, exponential, quadratic, or none of these. Explain your reasoning.
h. The owner of Hyatt Home Improvement wants to put one of their designs on an empty
rectangular sign in front of their headquarters. The empty sign is 10 feet tall and 12 feet wide. If he

Answers

Patterns are set of rules that guide the creation of a dataset. The observation from the first three designs are as follows:

The pattern is that the number of tiles increases as the design number increasesThe expressions for the number of tiles are [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]The expression can be proved to be equivalent using graph technology The points on the curve make sense in this scenario because all values are positiveThe pattern is quadratic.The largest design number that can enter an empty 10 by 12 ft sign is design number 8

The pattern

The first three design show that, as the design number increases (i.e. 1, 2, 3), the number of tiles used also increases (i.e. 7, 12, 19)

The expressions for the number of tiles

The design number and the number of tiles is represented as follows

[tex]1 \to 7[/tex]

[tex]2 \to 12[/tex]

[tex]3 \to 19[/tex]

From the designs, we observe that some tiles are at the middle, while other tiles are at the sides.

Design 1 has 1 tile at the center and 6 tiles at either sides.

So, we have:

[tex]1 \to 1 + 6[/tex]

[tex]2 \to 4 + 8[/tex]

[tex]3 \to 9 + 10[/tex]

Expand

[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]

[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]

[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]

Notice the pattern,

The number of tiles in design n will be:

[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]

Open bracket

[tex]Tiles = n^2 + 2n + 4[/tex]

Hence, the expressions for number of tiles in design n are:

[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]

Technology to prove that both expressions are equivalent

To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are equivalent using technology, the graphs of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be plotted and then compared

The table and graph for the first 6 designs

The table entry for the first 6 designs is calculated as follows:

[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]        

[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]        

[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]        

[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]        

[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]        

[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]        

So, we have:

[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]

See attachment for the graph of the above table

All the points on the curve make sense in this scenario because all values are positive.

The pattern type

We have:

[tex]Tiles = n^2 + 2n + 4[/tex]

When an equation has a degree of 2, the equation is quadratic.

Hence, the pattern is quadratic.

The largest design that an empty sign of 10ft by 12ft can contain.

From the first three designs:

The number of tiles on a complete row and column are always the same.

Design 1 has 3 tiles in its complete row and column

Design 2 has 4 tiles in its complete row and column

Design 3 has 5 tiles in its complete row and column

The relationship between the design number (d) and the number of complete tiles (t) is:

[tex]d = t - 2[/tex]

For the 10ft by 12ft empty sign

[tex]t = 10[/tex] because [tex]10 < 12[/tex]

So, we have:

[tex]d = t - 2[/tex]

[tex]d = 10 - 2[/tex]

[tex]d = 8[/tex]

Hence, the largest design number is design 8

Read more about patterns at:

https://brainly.com/question/13382968

Other Questions
if the element A have three protons in the nucleus. find the atomic number of the element A You just accomplished a goal and rewarded yourself with a delicious treat. The pleasant feelings that result from these behaviors are made possible by the release of _______. Group of answer choices expressions by combining terms.Simplify the1. -2(x 3) + 4x2. 4x - 3+ 6 + 7 10x3. (6a + 3x - (4a - 7x)4. (15x 3y) + (-12x - y) Tag question of, Open the door,..?[1 marks]shall wewill youarent youwont you find the distance between pooler and savannah if there are 2 cm apart on a map with a scale of 1 cm 4.5 miles A steel ball has a volume of 1500 cm.The density of the ball is 95 g/cm'.Find the mass of the ball in kg. Flowing water eroding a limestone riverbed aChemical Change bPhysical Change 16. Plot the points P(-2,1), Q (2,1), R(3,2) and S(-1,2)and write the name of the figure thus obtained. 8= 8 + 4x +5xcan anyone help me with this Kevin plays on the school baseball team. In the last 8 games, Kevin was at bat 30 times and got 7 hits. What is the experimental probability that Kevin will get a hit during his next time at bat? Que campos aun no se han explorado para generar dinero mediante el idioma espaol what is the radius of a circle with the end points (-1,-2) and (5,3) plz help me I need help BRAINLY IF CORRECT!!!! When a fan is moving is convection, conduction, or raditation, and WHY? Help me plz Im confused Do you listen more to your Explorer or Judges? Why? 1)During the second Industrial Revolution, immigration was necessary to*A.drive down labor costs.B.provide a market for manufactured goods.C.provide needed labor.d.populate the cities.2)The most significant reason railroads encouraged industrial growth was*A.the connection of the east and west coasts via railways.B.the use of the Bessemer process to build steel tracks.C.the increase in labor necessary to build railroad cars.D.the efficient transportation of raw materials and finished goods.3)What is the most likely definition of the French term laissez-faire?*A.Allow to act.B.Obey the rules.C.Be just.DWork quickly.4)What was one effect of the Industrial Revolution in the United States?*A.Many more goods were imported.B.The government lowered taxes.C.The number of people working as farmers increased.D.The cost of many goods made in the United States decreased.5)Laissez-faire policies allowed businesses to operate under maximum government regulation.*True or false6)The U.S. government encourage American industry in the late nineteenth century by creating protective tariffs.*True or False7)Thomas Edison established a research laboratory at Menlo Park, New Jersey in 1876.*True or False8)By 1883, there were two transcontinental railroad lines in the United States.*True or False Help me on this please please The use of ___________ brings attention to the main subject by placing a white object in the background. Analyze the painting;what compositional tool is being used here Let f(x) = x - 2 and g(x) = x2 x. Find and simplify the expression.(f+g)(-3)