1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.

1.8.3 Practice - Functions 3. Water Freezes At 0 Celsius And 32 Fahrenheit. Water Boils At 100 Celsius

Answers

Answer 1

Answer:

  A. C(F) = 5/9F -(17 7/9)

  B. slope: 5/9

  C. y-intercept: -17 7/9

Step-by-step explanation:

A.

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

  (F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

  m = (y2 -y1) / (x2 -x1)

  m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

  y = mx +b

  b = y -mx

Using the first point, we have ...

  b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

  C(F) = 5/9F -(17 7/9)

__

B.

The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

__

C.

The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.


Related Questions

Pls help I need ASAP pls

Answers

Answer:

  -1

Step-by-step explanation:

The line goes down 1 grid square for each grid square to the right. Each grid square represents 1 unit in both the x- and y-directions. That means the slope is ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

-2 5/12 - (-10 8/9)

Answers

-13.30

that might be the answer

8.47222222222

:D Hope this helps! I apologize if I’m wrong.

Simplify the following expression.

(33x + 53y) + (44x - 20y)
A.
86x + 33y
B.
77x + 73y
C.
77x + 33y
D.
86x + 73y

Answers

Answer:

77x+33y

Step-by-step explanation:

Eliminate redundant parentheses

(33x+53y)+(44x−20y)

33+53+44−20

Combine like terms

33x+53y+44x−20y

77+53−20

Combine like terms

77x+53y−20y

77+33

Solution:

77+33

Answer: The answer would be D.

Step-by-step explanation:

All you have to do is combine like terms.

Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.

When you combine like terms, you add or subtract the terms that have the same variable attached.

13x + 38x = 51x.

9y + 33y = 42y

51x + 42y.

I hope I helped.

Brainliest would be appreciated.

What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will give brainliest for the correct answer AND explanation (It is not 20)

Answers

The sum of all positive integers that satisfy the condition as described is; 100

The number set of n is therefore;

n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

According to the question;

If n is odd, then n is a multiple of 5.

The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.

The sum of all positive integers that satisfy the condition is therefore;

1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.

Read more:

https://brainly.com/question/18837188

Does "greater than" sign and "not equal to" sign denote the same thing?​

Answers

Hello!

The "greater than sign" means one number is greater than the other.

Example: 4>2 (4 is greater than 2)

The "not equal to sign" means one number is not equal to another one.

Example: 15[tex]\neq[/tex]17 (15 is not equal to 17)

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

no they dont

greater than sign denotes that the first digit is greater than the other digit

In the EXPLORE online library, the ratio of the number of novels to that of dictionaries is 2:3 and the total number of novels is 624. If Joe buys more novels and the ratio becomes 7:3, then how many novels have been bought in total?

Answers

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

x is the number of novels.y is the number of dictionaries.

The ratio of the number of novels to that of dictionaries is 2:3, hence:

[tex]\frac{x}{y} = \frac{2}{3}[/tex]

[tex]3x = 2y[/tex]

[tex]y = \frac{3x}{2}[/tex]

Total number of novels is 624, hence:

[tex]x = 624[/tex]

[tex]y = \frac{3}{2} \times 624 = 936[/tex]

Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:

[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]

[tex]1872 + 3z = 6461[/tex]

[tex]z = \frac{6461 - 1872}{3}[/tex]

[tex]z = 1530[/tex]

1530 more novels have been bought in total.

A similar problem is given at https://brainly.com/question/17096268

can somebody help me with a tutor

Answers

Answer:

well tutors are very cool they help you with your subjects so i dont see any probelm with them.

Step-by-step explanation:

A shirts costs $20, the cost of the shirt increases 30%, what is the price of the shirt now?​

Answers

Answer: 10

Step-by-step explanation:

Chris drives to a nearby city that is 30 miles away. The average miles per gallon for his car is 20. Gas prices are currently $3.49 per gallon. How much will he spend on gas to drive to the city

Answers

Answer:

5.235 (Simplifies as $5.24)

Step-by-step explanation:

1 gal = 20 miles

1.5 gal = 30 miles

1 gal = $3.49

1.5 gal = $5.235

i put in the question as png pls help

Answers

Answer:

Screen shot it then save as then save as a png then turn it in

Step-by-step explanation:

HELP!!!! ME PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

A for the Venn Diagram and B for the chart.

Step-by-step explanation:

1. Domain: (-2, -1, 0, 2)

  Range: (-4, -2, 2)

2. Domain: (-4, 2, 1, 4)

   Range: (-2, 1, 4, 4)

The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.

How do I do this man

Answers

Answer:

D

Step-by-step explanation:

g(x)=[tex]-\sqrt[3]{x-1}[/tex]

-4v - 5 = -53 help me please

Answers

Answer:

v=12

Step-by-step explanation:

  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -4*v-5-(-53)=0

Pull out like factors :

  -4v + 48  =   -4 • (v - 12)

 Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 Solve  :    v-12 = 0  

Add  12  to both sides of the equation :  

                     v = 12

To check yourself:

-4(12)-5 = -53

Answer: v = 12

Step-by-step explanation:

-4v - 5 = -53

add 5 to both sides

-4v = -48

divide both sides by -4

v=12

please answer fully ?/'//////////////////////

Answers

Answer:

(saving my answer for the question)

what is the problem?

Step-by-step explanation:

What are the slope and y-intercept on the graph of the linear equation on the grid?​

Answers

Answer:

simple look at y intercept then look at slope or you can solve two points by using the formula y2-y1/x2-x1

but your formula is

y =1/2 +5 so b would be your answer

Help help help help help math math please please pelsss

Answers

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.

Answers

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

2 < 3 < 5
True
False

Answers

Answer:

The answer is true.

Step-by-step explanation:

Qiang is inviting 4 friends to a party each friend wants 4 cookies each box has 10 cookies how many boxes should qiang get

Answers

2
4 friends and each wants 4 so total cookies
required is 16. 1 box has 10 cooking which is not enough,
so you need to get 2 boxes to have more than
16 cookies

Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising

Answers

Answer:

  (a)  (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising

  (b) you should invest more when dP/dt > 0

Step-by-step explanation:

a)

dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.

__

b)

Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.

When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.

put the number eight million, two hundred eleven thousand, four hundred nine into the place value chart, then write the number in standard and expanded form.

Answers

Here are the answers

Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x

Answers

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

The answer will be 7x guys

pls find prism if you find it your littearly a pro hacker ​

Answers

Answer:

24 cubic units

Step-by-step explanation:

Given, in picture,

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Therefore,

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

Help help help help help pleases pelass thank you

Answers

Answer:

a' (-6,7) b' (-5,3) c'(-2,4)

Step-by-step explanation:

4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005 200 100 2006 300 250 2007 400 200 2008 500 500 Question 1. In which year is the difference in the sale minimum? (a) 2008 (b) 2007 (c) 2006 (d) 2005 Question 2.​

Answers

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

What the value of the angle marked with x is

Answers

Answer:4.1 i think correct if im worng sorry

Step-by-step explanation:

Answer:

x = 146°

Step-by-step explanation:

this shape is a rhombus and one property is that adjacent angles are supplementary

therefore, 'x' + 34 = 180

'x' = 180-34

'x' = 146

Rest of the options

Answers

The answer is D, the last one

An airplane flies with a constant speed of 720 miles per hour. How far can it travel in 14 minutes?

Answers

Answer:

It is 168 miles

Step-by-step explanation:

720 divided by 60 is 12. 12 times 14 is 168

PLSSSSS HELP>>>>>>>>>>>>>>>>>>>>>>>

When 4/15 is written as a decimal, how many digits are in the smallest sequence of repeating digits? A. 3 B. 2 C. 1 D. 0

Answers

Answer:

C. 1

Step-by-step explanation:

We have to convert   4/15  into decimal.

Divide 4 by 15

When we divide 4 by 15, we get 0.26666666666.....

 

As we can see that, the number 6 is repeating

Only one digit is repeating

Hence, the correct answer is one 6

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.

Answers

Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Inequality is the non equal comparison of numbers or variables.

Let x represent the number of miles that they can travel before filling their gas tank.

Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:

x + 108 < 352

x < 244

This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Find out more at: https://brainly.com/question/25285332

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