Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What would be a more appropriate domain for Jada to use instead?

Answers

Answer 1

Answer:

A more appropriate domain would be all real numbers except x = 5.5

Step-by-step explanation:

Given that the domain of a rational function consists of the set of real numbers but excluding those real numbers that results in a zero in the denominator

The given graph of the function has a vertical asymptote at s = 5.5 which indicates a value for which the function is not defined and at x = 5.5, and as such the value (5.5) of the asymptote is not a member of the function's domain

The values of the domain of a function consisting of a reciprocal must exclude does that result in a zero denominator.

Answer 2

The domain of the function that represents Jada's trip is the set of input value the function can take

The appropriate domain is: all real numbers except x = 5.5

From the graph, we can see that:

The x-value starts at negative infinity, and ends near 5.5The x-value then continues near 5.5, and ends at positive infinity

This means that the input of the graph cannot be 5.5

Hence, an appropriate domain would be: [tex]\mathbf{x \ne 5.5}[/tex]

Related Questions

Find the domain of the square root of 2x−10

Answers

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[tex] f(x) = \sqrt{2x - 10} [/tex]

[tex]Domain \: \: : \: 2x - 10 \geqslant 0[/tex]

Add sides 10

[tex]Domain \: \: : \: \: 2x - 10 + 10 \geqslant 10 \\ [/tex]

[tex]Domain \: \: : \: \: 2x \geqslant 10[/tex]

Divided sides by 2

[tex]Domain \: \: : \: \: \frac{2}{2}x \geqslant \frac{10}{2} \\ [/tex]

[tex]Domain \: \: : \: \: x \geqslant 5[/tex]

Done...

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how would you convert 7/8 into a decimal

Answers

Answer:

0.875

Step-by-step explanation:

Brad is going on a vacation with his family. He will be going through six states on his trip, but traveling only 900 miles. The vacation will last 23 days. While brad is pleased to be missing school, his teacher has asked him to write in his journal half of a page each day of his trip. How many pages would he have written by the time he gets back home

Answers

The number of pages that he would have written by the time he gets back home is 46 pages.

How to calculate the value?

From the information given, the expression was illustrated that the vacation will last 23 days. While brad is pleased to be missing school, and his teacher has asked him to write in his journal half of a page each day of his trip.

The appropriate equation to represent this will be:

p = 23 / 1/2

where p = number of pages

p = 23 ÷ 1/2

p = 23 × 2

p = 46

The number of pages is 46

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What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1)}

Answers

Answer:

1, 0, and 2

Step-by-step explanation:

the domain is the first number in each ordered pair.

Answer:

1, 0, 2 are the domain.

Step-by-step explanation:

All x-values are the domain and all the y-values are the range.

Hope that helps and have a great day!

Question Details
Solve
-4x – 6y = 0
-6x- 12y = 18

Answers

Answer:

x = 9

Step-by-step explanation:

-6x -12y = 18

multiply -4x -6y = 0 by -2 to get 8x + 12y = 0

the 12y's cancel out and you combine the equations to get 2x = 18

2x/2 = 18/2

x = 9

Ms. Jones had $40 to purchase groceries. She bought 4 packs of rice and 3 boxes of granola bars. The packs of rice cost $1.09 each, and the boxes of granola bars cost $4.29 each. How much money did Ms. Jones have left after these purchases?
answer choices
$8.51

$17.23

$22.77

Answers

Answer:

so to know full price of granola bars and rice packs; you would multiply 1.09 × 4 for the rice which you get 4.36 then for granola bars you do 4.29 × 3 and you get 12.87 then you add 12.87 + 4.36 = 17.23 then you subtract this from the $$ Mr.Jones has which is 40 so its 40-17.23 and you get 22.77

help plz idk it ughhhhhhhhhhhhh

Answers

Answer:

20.4

Step-by-step explanation:

136 × 0.85% =

136 - 115.6 =

20.4

Pls help i will mark brainliest if correct ♡︎シ

Answers

It’s the first one!

Is x−1 a factor of 3x3−5x2−2?

Answers

Answer:

Answers

Answer:

step1

Step-by-step explanation:

Write the coordinates of point H' after the following translation:
1) translation: 6 units left and 4 units up

Answers

Answer:

I= (-4, 2)

G= (-1,-1)

H= (-1,3)

Step-by-step explanation:

Translation of the object= 6 units left and 4 units up.

What is the area of the trapezoid shown below

Answers

Answer:

78 units squared

Step-by-step explanation:

I think 78

Evaluate 1/6 + 2/3.

3/18
5/6
1/5
1 1/6

Answers

Answer:

5/6

Step-by-step explanation:

HELP-BRAINLIEST

Y OR N FOR THE RQUATIONS IF THERE EQUAL TO 12x=5!!

Answers

Answer:

no the last one isnt equal bcz the last on is equal to 12

Angela lives 0.6 mile from the park. It takes her hour to walk her dog to the park. How quickly are Angela and her dog walking in miles per hour?

Answers

Answer:

0.6 miles an hour

Step-by-step explanation:

since it takes her 0.6 miles to walk an hour and an hour to walk 0.6 miles.

0.6 = 3/5

Answer: 0.1 miles per hour

Since an hour has 6 10-minute segments, divide by 6.

0.6 ÷ 6 = 0.1

Your answer should be 0.1 miles per hour.

So, Angela and her dog are walking at 0.1 miles per hour.

Hope this helps!

Josh is 3 inches taller than his brother
translate the following to mathematical expressions

Answers

Answer:

J=b+3

Step-by-step explanation:

Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.

Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.

Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.

Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question.

Answers

Answer:

25t = 65

Step-by-step explanation:

Given that :

Profit earned = $60

Charge per hour = $25

Randy's cost or expenses = $(2 + 3) = $5 per job

Profit = (charge per hour * t) - cost

Where t = time

$60 = ($25 * t) - $5

$60 = $25t - $5

$25t = $65

“The total of eight times a number and five"

Answers

Answer:

8x + 40

Step-by-step explanation:

8(x+5)

8 times x = 8x

8 times 5 = 40

Answer:

8 x____=5 i got 0.625 as a decimal and 5/8 as a fraction, i dont even know if thats the answer u were looking for but ok, Hope this helps ;D

Step-by-step explanation:

What is the slope of the graph?

slope = -3

slope = -1/3

slope = 1/3

slope = 3

Answers

Answer:

the Slope is 1/3

(correct me if I'm mistaken)

Answer:

-3

Step-by-step explanation:

You go up 3 and to the left 1

I really need help with this
The Trailblazer Diner serves hotdog plates for $4.50 each and hamburger plates for $6. If 512 students bought lunch from the diner and the total revenue from the sale of the plates was $2,580, then how many hotdog plates were sold, and how many hamburger plates were sold?

Answers

Answer:

256 of each

Step-by-step explanation:

512 divided by 2= 256

A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?

Answers

Answer:

9 kg in each patch

Step-by-step explanation:

because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9

What is the product of five and a number, decreased by eleven

Answers

Answer:

5x-11

Step-by-step explanation:

This is the word problem as an expression

5x-55 represents the mathematical expression for the given statement.

What is an expression?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is a statement, the product of five and a number, decreased by eleven,

Let the number be x, converting the given statement, into a mathematical expression, we get

5(x-11)

= 5x-55

Hence, 5x-55 represents the mathematical expression for the given statement.

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1/2x + 1/2x = x + 1 Plzzz help

Answers

There is no solution for this equation.

Answer:

this is the right answer you have.

Step-by-step explanation:

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