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il63 [147K]
2 years ago
15

Priya wrote the equation y=100−5m to represent the temperature, y, in degrees Celsius, after a liquid has been cooling for m min

utes. Explain what the slope and y-intercept of the graph of the equation would mean in terms of the cooling liquid.
Mathematics
1 answer:
malfutka [58]2 years ago
7 0

The y-intercept represents the initial temperature of the liquid before cooling  and the slope represent the changes in temperature for every m minutes.

y = 100 - 5m

where

y = temperature in degree Celsius

m = cooling for number of minutes

Using the slope intercept equation,

<h3>Slope intercept;</h3>
  • y = mx + b

where

m = slope

b = y-intercept

Therefore,

y - intercept = 100

slope(m) = 5

Therefore, the y-intercept represents the initial temperature of the liquid before cooling  and the slope represent the changes in temperature for every m minutes.

learn more on linear equation here: brainly.com/question/1462499?referrer=searchResults

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One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo
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<u>5 hours</u><u> long would it take the </u><u>faster </u><u>maid cleaning alone.</u>

What is a linear equation in math?

  • A linear equation only has one or two variables.
  • No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
  • When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

 x_{2} = 4x_{1}        ( 4 time faster maid )

Now, time taken by both of the  made together is given by ,

( \frac{x_{1}x_{2}  }{x_{1} + x_{2} } )

\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} }  = 4 hours

\frac{4x_{1} }{5}  = 4 hours

x_{1} = 5 hours     which is the time required by faster maid.

Learn more about linear equation

brainly.com/question/12974594

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8 0
2 years ago
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The express
ololo11 [35]

Answer:

14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.

Step-by-step explanation:

4 0
3 years ago
Use completing the aquare to solve for x in the equation (x+7)(x-9)=25​
Tema [17]

Answer:

x = 1 + sqrt(89) or x = 1 - sqrt(89)

Step-by-step explanation:

Solve for x:

(x - 9) (x + 7) = 25

Expand out terms of the left hand side:

x^2 - 2 x - 63 = 25

Add 63 to both sides:

x^2 - 2 x = 88

Add 1 to both sides:

x^2 - 2 x + 1 = 89

Write the left hand side as a square:

(x - 1)^2 = 89

Take the square root of both sides:

x - 1 = sqrt(89) or x - 1 = -sqrt(89)

Add 1 to both sides:

x = 1 + sqrt(89) or x - 1 = -sqrt(89)

Add 1 to both sides:

Answer: x = 1 + sqrt(89) or x = 1 - sqrt(89)

7 0
4 years ago
The owner of a small computer repair business has one employee,
Anna71 [15]
In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Profit is net of the fixed income of 8600 and variable cost of 22 hourly rate times the number of hours worked by the employee.

Example:
If the employee worked for 100 hours, then the profit would be:

P(x) = 8600 - 22(100)
P(x) = 8600 - 2200
P(x) = 6400

Even if the employee works 24 hours for the whole week or 7 days, they will still earn profit.

24 hours x 7 days = 168 hours

P(x) = 8600 - 22(168)
P(x) = 8600 - 3696
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6 0
4 years ago
Read 2 more answers
A cell phone company wants to determine the average amount of data that their smart phone customers use each month. which group
Gala2k [10]

Hence, the correct answer is (C)one thousand of their customers with a current smartphone data plan.

<h2>What is data?</h2>

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

<h3>How to solve?</h3>

the most appropriate option is (C)one thousand of their customers with a current smartphone data plan.

to learn more about data: brainly.com/question/2614147

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3 0
2 years ago
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