Dominic is deciding between two different movie streaming sites to subscribe to. Plan A costs $27 per month plus $3 per movie watched. Plan B costs $35 per month plus $1 per movie watched. Let
A
A represent the monthly cost of Plan A if Dominic watches
x
x per month, and let
B
B represent the monthly cost of Plan B if Dominic watches
x
x movies per month. Write an equation for each situation, in terms of
x
,
x, and determine the interval of movies watched,
x
,
x, for which Plan A is cheaper than Plan B

Dominic Is Deciding Between Two Different Movie Streaming Sites To Subscribe To. Plan A Costs $27 Per

Answers

Answer 1
27+3x < 35+1x
subtract 27 from both sides
3x < 8+ 1x
subtract 1x from both sides
2x < 8
divide by 2
x <4
Plan A is cheaper if less than 4 movies are rented

Related Questions

Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies,
how many cookies does he bake?
A. 60 cookies
B. 90 cookies
C. 360 cookies
D. 3,600 cookies

Answers

The answer is C

Multiply 6x60 to get the number of cookies

Answer:

360 cookies

Step-by-step explanation:

60 times 6= 360

Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help

Answers

Step-by-step explanation:

the slope if the equation will be -8

Please help me and show work

Answers

Answer:

2/5

Step-by-step explanation:

If we convert 1/2 to tenths we get 5/10. We can subtract that from 9/10 to find out what q equals which will give us 4/10 which is also equal to 2/5

(sorry i'm really bad at explaining but I hope this helps)

LOOK AT PICTURE, THEN ANWSER QUESTION, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)

Answers

Answer:

c is the correct answer

PLEASE HELP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

An expression can not be a polynomial if any term has a negative exponentAn expression can not be a polynomial if any term has a fraction exponentAn expression can not be a polynomial if any term contains division by a variable.

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

3
1
The temperature fell from 0°F to 6 3/5 F below 0f in 2 1/5 hours. What was the temperature change per hour?

Answers

Answer:

The rate is -3°F per hour.

Step-by-step explanation:

The rate of change of the temperature per hour, will be equal to the quotient between the total change in temperature and the time it took for the change.

We know that the initial temperature is 0°F

The final temperature is -(6 + 3/5)°F

Then the change in the temperature will be:

Final temperature - initial temperature =  -(6 + 3/5)°F - 0°F =  -(6 + 3/5)°F

We know that this change took a total of (2 + 1/5) hours, then we can conclude that the rate will be:

Rate =  -(6 + 3/5)°F/(2 + 1/5) hs = -(30/5 + 3/5)°F/(10/5 + 1/5) hs

        = -(33/5)°F/(11/5)hs = -(33/11) °F/hs = -3 °F/hs

This means that the rate of change is -3°F per hour, so the temperature decreases 3 °F for each hour that passes.

the height of an object after t seconds is given by f(t)=-5t^2+20t (a) find the height of the object after 2 seconds, and include the correct units with your answer. (b) find the average (vertical) velocity of the object on the time interval [0,2]. show your work, include the correct units, and. circle your final answer. (c) find the instantaneous velocity at t=2

Answers

Answer:

t=20 4=5 =6 =8 =9 10

Step-by-step explanation:

And that is iy

Suppose Carson worked as a babysitter for85 hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?

Answers

Answer:

Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!

Step-by-step explanation:

(1 + 9.8k)(2.8) simplified

Answers

Answer:

2.8 + 27.44k

Step-by-step explanation:

Algebraic Simplification

The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.

We are given the expression:

(1 + 9.8k)(2.8)

It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:

(2.8)1 + (2.8)9.8k

Operating:

2.8 + 27.44k

Help me please i have be very grateful

Answers

Answer:

8,20,24

Step-by-step explanation:

these numbers they make 52

What is the GCF (greatest common factor of 8x and 8?​

Answers

Answer:

8 :)

Step-by-step explanation:

The answer that you are looking for it’s 8

Describe the transformation of ƒ(x) = ex which is given by g(x) = −e2x + 6.


A)

g(x) is reflected across the y-axis and translated 6 units to the right compared to ƒ(x).

B)

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

C)

g(x) is reflected across the y-axis and translated 6 units to the left compared to ƒ(x).

D)

g(x) is reflected across the x-axis and translated 6 units down compared to ƒ(x).

Answers

Answer:

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).

A medication contains 5 milligrams/milliliter, and a patient is taking 1 teaspoon of it 3 times daily. How many milligrams of medication is the patient receiving per day?
options:

5 milligrams

7.5 milligrams

75 milligrams

100 milligrams

Answers

Answer:

Answer: 75 milligrams

Step-by-step explanation:

The medication contains 5 milligrams/milliliter.

The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.

Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.

Answer: 75 milligrams

The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm,find its area

Answers

Answer:

[tex]A = 43.74[/tex]

Step-by-step explanation:

Represent Length with L, Width with W and Perimeter with P

[tex]P = 27[/tex]

[tex]L=x+3[/tex]

[tex]W = \frac{2}{3}(x + 3)[/tex]

Required

Determine the Area

From the perimeter, we need to solve for x;

[tex]P = 2(L + W)[/tex]

Substitute values for P, L and W

[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]

[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]

Collect Like Terms

[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]

[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]

[tex]27 = 2(5 + \frac{5x}{3})[/tex]

Open bracket

[tex]27 = 10 + \frac{10x}{3}[/tex]

Collect Like Terms

[tex]27 - 10 = \frac{10x}{3}[/tex]

[tex]17= \frac{10x}{3}[/tex]

Solve for x

[tex]x = \frac{3*17}{10}[/tex]

[tex]x = \frac{51}{10}[/tex]

[tex]x = 5.1[/tex]

The Area is then calculated using:

[tex]A = L * W[/tex]

[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]

[tex]A = \frac{2}{3}(x+3)^2[/tex]

Substitute 5.1 for x

[tex]A = \frac{2}{3}(5.1+3)^2[/tex]

[tex]A = \frac{2}{3}(8.1)^2[/tex]

[tex]A = \frac{2}{3}*65.61[/tex]

[tex]A = \frac{2*65.61}{3}[/tex]

[tex]A = \frac{131.22}{3}[/tex]

[tex]A = 43.74[/tex]

Hence, the area is [tex]43.71cm^2[/tex]

For the statement below, write the claim as a mathematical statement. Use proportions to state the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college. Let p be the proportion of college students who did not use student loans to pay for college. What is the claim as a mathematical statement? Determine the null and alternative hypothesis. Identify whether the null or alternative hypotheses is the claim.

Answers

Answer:

Null Hypothesis : P = 0.73

Alternative Hypothesis : P≠ 0.73

Step-by-step explanation:

Explanation:-

According to a recent survey, 73% of college students did not use student loans to pay for college

Let p be the proportion of college students who did not use student loans to pay for college

Population proportion  P = 73% or 0.73

Null Hypothesis :  P = 0.73

Alternative Hypothesis : P≠ 0.73

Suppose that Bob can decide to go to work by one of the three modes of transportation; car, bus, or train. Because of high traffic, if he decides to go by car, there is a 50% chance he will be late. If he goes by bus there is a 20% chance he will be late. If he goes by train there is only 1% chance that he will be late. Suppose he takes the car 10% of the time, the bus 1% of the time, and the train 89% of the time, What is the probability that Bob will be late getting to work?

Answers

The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.

can someone help me plss! it would mean a lot! happy holidays too!

Answers

Answer:

69 feet

Step-by-step explanation:

Now go ace that test!

Answer: 69

Step-by-step explanation:

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles

Answers

Answer:

te puedo responder pero debes hacer primero tu tarea

Step-by-step explanation:

Alina and Asim share 210 dollars In the ratio 2:5 how much money did each of them get ?

Answers

Answer:

Let Alina share be 2x and asking share be 5x

then, 2x+5x =210 dollars

7x =210 dollars

x=30 dollars

then share of Alina = 2x = 2 * 30 = 60 dollars

and share of asim= 5x = 5 * 30 = 150 dollars

Answer:

I hope the above pic will help you I have done it in word

I will always help you understanding your assingments

have a great day

#Captainpower:)

How to solve it&&&&&&&&&&&

Answers

Answer:

y = 4 and x = 12

Step-by-step explanation:

Step by step explanation in the pic. Atleast the way I did it.

Angie divides the polynomial function f (x)+x3+3x2-7x-21 by (x+3) what can she conclude from the fact that the remainder is equal to 0

Answers

Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

[tex]x+3=0\\x=-3[/tex]

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

Learn more :  brainly.com/question/19908280

question in the image

Answers

Answer:

thats not a question

Step-by-step explanation:

That’s not a question

Pleaseeee help me I need help reallly bad

Answers

Answer: 9. Matches with 1

10. Matches with 5

11. Matches with 64

12. Matches with 32

Explanation:

9. Insert the numbers that equal the variables from the top of the page.

7-3/4 = 1

10. 3^2 - 2^2

9 - 4 = 5

11. 4(8)(2) = 64

12. (8)^2 - 4(4)(2)
64 - 32 = 32

Please help me thank you I appreciate

Answers

Answer:

90-34=56° .....................

a. A bicycle shop marks down each bicycle's selling price b by 22% for a holiday sale.
b. What is a single term expression for the sale price?

The expression for the sale price is ____?

Answers

9514 1404 393

Answer:

  0.78b

Step-by-step explanation:

The sale price will be ...

  b - 22% × b = b(1 -22%) = b(1 -0.22)

  = 0.78b . . . . single-term expression for sale price

The number
5/7
can be best described as a(n)
mixed number
improper fraction
O proper fraction

Answers

Proper fraction!!! ...............

An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management

Answers

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

skateboard is priced for $38. They are having a sale for 20% off. how much is the discount and what is the selling price

Answers

Answer:

18$

Step-by-step explanation:

The discount is $7.60 and the price is now $30.40

A) Findi
Consider the curve x²y + y2x = 6
dy
in terms of x and y
B) Write the equation for the tangent line where x = 2 and y = 1.

Answers

Answer:

Part A)

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle x^2y+y^2x=6[/tex]

Part A)

We want to find the derivative of our function, dy/dx.

So, we will take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y+y^2x\Big]=\frac{d}{dx}\big[6\big][/tex]

The derivative of a constant is 0. We can expand the left:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y\Big]+\frac{d}{dx}\Big[y^2x\Big]=0[/tex]

Differentiate using the product rule:

[tex]\displaystyle \Big(\frac{d}{dx}\big[x^2\big]y+x^2\frac{d}{dx}\big[y\big]\Big)+\Big(\frac{d}{dx}\big[y^2\big]x+y^2\frac{d}{dx}\big[x\big]\Big)=0[/tex]

Implicitly differentiate:

[tex]\displaystyle (2xy+x^2\frac{dy}{dx})+(2y\frac{dy}{dx}x+y^2)=0[/tex]

Rearrange:

[tex]\displaystyle \Big(x^2\frac{dy}{dx}+2xy\frac{dy}{dx}\Big)+(2xy+y^2)=0[/tex]

Isolate the dy/dx:

[tex]\displaystyle \frac{dy}{dx}(x^2+2xy)=-(2xy+y^2)[/tex]

Hence, our derivative is:

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

We want to find the equation of the tangent line at (2, 1).

So, let's find the slope of the tangent line using the derivative. Substitute:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{2(2)(1)+(1)^2}{(2)^2+2(2)(1)}[/tex]

Evaluate:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{4+1}{4+4}=-\frac{5}{8}[/tex]

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Yields:

[tex]\displaystyle y-1=-\frac{5}{8}(x-2)[/tex]

Distribute:

[tex]\displaystyle y-1=-\frac{5}{8}x+\frac{5}{4}[/tex]

Hence, our equation is:

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Not troll! Please help, will give brainliest! Explain your answer and how you got it.

Evaluate the expression 34 + 4/9w and w = - 1/2

Answers

Answer:

33  7/9 or 304/9

Step-by-step

Answer:

The person above is right give them brainliest please!

Step-by-step explanation:

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