Given the graph below, which of the following represents the domain of the function?

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

He rides 27 miles in two hours, 81/2 miles in 3 hours, and 189/4 in 3.5 hours.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A biker cycles 9 miles in 2/3 of an hour.

∴ He rides (9×3/2) is (2/3)×(3/2) hours.

He rides 27/2 miles in 1 hour.

So, He rides (27/2)×2 in 2 hours.

27 miles in 2 hours.

He rides (27/2)×3 miles in 3 hours.

81/2 miles in 3 hours.

He rides (27/2)×(7/2) miles in 7/2 hours.

189/4 miles in 7/2 hours.

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Answer:

[tex]y = 1164x + 14242[/tex]

Step-by-step explanation:

From the question, we understand that

x = 0, when year = 1980

First, we need to determine the slope of the table.

Pick any two corresponding values of year and average salary

year = 1982, average salary = 16570

year = 2002, average salary = 39850

Convert years to x values

year = 1982 implies that x = 2 i.e. 1982 - 1980

year = 2002 implies that x = 22 i.e. 2002 - 198-

So, we have:

[tex](x_1,y_1) = (2,16570)[/tex]

[tex](x_2,y_2) = (22,39850)[/tex]

Determine the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{39850 -16570}{22 - 2}[/tex]

[tex]m = \frac{23280}{20}[/tex]

[tex]m = 1164[/tex]

The equation is calculated using:

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

Where

[tex]m = 1164[/tex]

[tex](x_1,y_1) = (2,16570)[/tex]

So,

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

[tex]y - 16570 = 1164(x - 2)[/tex]

[tex]y - 16570 = 1164x - 1164*2[/tex]

[tex]y - 16570 = 1164x - 2328[/tex]

Add 16570 to both sides

[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x + 14242[/tex]

Answer:

y = 1164x + 14,242

Step-by-step explanation:

Answer:

x−6y=−7

____________

Answer:

39

Step-by-step explanation:

4 cubed is 64 and 64-25 is 39

Answer:

We don't really have the whole question, but to convert to a decimal, you should divide the numerator by the denominator.

Example:

Convert 5/8 to a decimal.

5 divided by 8 = 0.625

Answer: y=x3 is a direct variation.

Step-by-step explanation:

Answer:

         See below :)

Step-by-step explanation:

The solution is, 12 multiple-choice questions are on the test.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

The right answer for the question that is being asked and shown above is that:

m + f = 15 ---> 3m + 3f = 45

3m + 5f = 51

now, we have.

3m + 3f = 45

3m + 5f = 51

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

-2f = -6

f = 3

so, we get,

m + f = 15

m = 15 - 3

m = 12

So the correct answer is 12.

Hence, The solution is, 12 multiple-choice questions are on the test.

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Complete question:

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.

The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.

m + f = 15

3m + 5f = 51

How many multiple-choice questions are on the test?

3

5

12

14

Answer: See explanation below

Step-by-step explanation:

A composite number is a number that has factors other than 1 and self, while a prime number only can be divided by (or have factors of) 1 and itself.

Hope this helps! :)

Answer:

A prime number is a number that can be divided by itself or the number 1

Step-by-step explanation:

Not sure on the composite one tho

Answer:

Both of these statements are correct.

Step-by-step explanation:

Adjacent means next to each other, vertical angles are like angles 2 and 5, where they are right across from each other.

I hope this helps/ makes sense!!!

Step-by-step explanation:

1/3 divide by 75cm3=?  

divide and see what u get

Answer: X=32

Step-by-step explanation: 85+63=148. The tree angles of a triangle equals 180 degrees, so 180-148=32

Answer:

16 for each video game

Step-by-step explanation:

The unit rate is 16x

the ratio is 16:1

The slope is y=16x

Answer:

The ratio:  $65:4

The unit rate: 16.25:1

Step-by-step explanation:

The ratio is money to video games.

The unit rate is how much money each video games cost.

Answer:

whats the question?????

Step-by-step explanation:

Answer:

Hey there..Sorry but, I don't know the answer to this..! Wish I could help.

Answer:

The answer is B because it is only the measure of the polygon

Answer:

Well, its a bit difficult to show you how to graph that, but here goes

First point (0,1)

second point (-5,3)

third point (5,-1)

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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]

[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]

[tex]slope = \frac{3}{3} \\ [/tex]

[tex]slope = 1[/tex]

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Answer:

-7

Step-by-step explanation:

Plug the value in.

4(-3)+5=-12+5=-7

Hope I helped!

Answer:

40.9

Step-by-step explanation:

8+10+8.9+10+4=40.9

hope this helps :3

if it did pls mark brainliest

Answer:

40.9 ft

Step-by-step explanation:

Perimeter is the sum of lengths of all outer sides of the shape. Since the rectangle has two pairs of parallel lines of the same length... It is safe to assume that the unmarked side length is 10 ft (just like it's parallel counterpart)

Now it is a simple matter of adding all of the outer sides.

8ft + 10 ft + 10 ft + 8.9 ft + 4 ft = 40.9 ft

Answer:26.85 miles

Step-by-step explanation: 7.25+12.3+7.3=26.85

The sum of 312+18 is 330.

To simplify the sum of 312 + 18, we add the two numbers together:

When three hundred twelve is added with eighteen we get three hundred thirty.

312

+18

________

330

Hence, the value of 312+18 is 330.

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Answer:

20/12 or 20/24

Step-by-step explanation:

Answer:

9/12

Step-by-step explanation:

5      4       9

_      _  =   _

12    12     12

When both denominators are the same keep it. Then add the top no matter what. if it says 6+3 add that then you would get 9

                                                                                _

                                                                               12

So here you go the answer is 9/12

Answer:

5/3

Step-by-step explanation:

We want to express the percentage as a fraction

We have;

500/3/100 = 500/300 = 5/3

Answer:

y=2/3-1

Step-by-step explanation:

Two coordinate points are (-3,-3) and (3,1). If you use Y2-Y1/X2-X1, you will find the slope. Then use y=mx+b to find the equation.

More detailed:

1+3/3+3 ** It is + because when there are minus signs it turns to a plus

4/6 Then simplify it

2/3

Now that the slope is found, we need to use y=mx+b

(I used the point (3,1))  1=2/3(3)+b

                                    1=2+b

                                    -1=b

I hope this is helpful gl on the test! :)

Answer: 40 ?

Step-by-step explanation:

Answer:

m = √ 6 t ( a + r )/ 2 t   m = − √ 6 t ( a + r )/ 2 t

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.