Please Help!!

Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.

1) Explain why the relationship between total distance and hours is a function.

2) Is this function continuous or discrete? Explain how you know.

3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.

4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.

5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, not just x and y.

6) What is the slope of the function? What does it represent?

7) What is the y-intercept? What does it represent?

Answers

Answer 1

The total distance is an illustration of a linear function.

(1) Why the relationship is a function

The relationship is a function because all input values of h, have exactly one corresponding output value of d

(2) The function type

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

(3) The domain for a drive of 8 hours

The domain is the set of time the girls drive.

So, the domain is: [0,8]

(4) The range

The function is given as:

d= 55h + 10

When h = 0,

d = 55(0) + 10 = 10

When h = 8,

d =  55(8) + 10 = 450

So, the range is: [10,450]

(5) The graph

Sorry

(6) The slope

A linear function is represented as:

y = mx + c

Where:

m represents the slope.

So, by comparison:

Slope = 55

The slope in this case represents the distance travelled per hour

(7) The y-intercept

In (6) above, c represents the y-intercept.

So, by comparison:

c = 10

The y-intercept in this case represents the initial distance


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The measures in this problem are given as follows:

1. x = 14.

2. m < 1 = 58º.

3. m < 2 = 122º.

How to obtain the measures?

Angles 1 and 2 are supplementary, as the angle 1 and the consecutive interior angle with angle 2 are corresponding angles, meaning that they are congruent, and then the angles are supplementary with their consecutive interior angles.

When two angles are supplementary, the sum of their measures is of 180º, hence the measure of x is obtained as follows:

m < 1 + m < 2 = 180

2x + 30 + 8x + 10 = 180

10x + 40 = 180

10x = 140

x = 140/10

x = 14.

Then the angle measures are obtained as follows:

m < 1 = 2(14) + 30 = 58º.m < 2 = 8(14) + 10 = 122º.

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Step-by-step explanation:

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Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

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[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]

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Answer:

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Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

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Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

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Answer:

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Step-by-step explanation:

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V = pi ( 600) in^3

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Answer:

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Step-by-step explanation:

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Mr.Jenkins will purchase a riding lawnmower that costs $1,350. The store offers no interest if he uses the store credit card and the balance is paid in full within one year.

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Complete question is;

Mr. Jenkins will purchase a riding lawnmower that costs $1,350 The store offers no interest if he uses the store credit card and the balance is paid in

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Answer:

Advantages & disadvantages given below

Step-by-step explanation:

Advantages;

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simplify the expression by distributing combining like terns 2x + 3(2x+1) ​

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Answer:

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Step-by-step explanation:

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What you're looking at in this image are two alternate exterior angles.

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If you have any questions on how I got to the answer, just ask!

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Determine whether each ordered pair is a solution of the system of linear equations.
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Answer:

(0,4)

Step-by-step explanation:

The given equations are :

3y = 6x + 12  

2x - y = -4

If (-3,2) be the solution of the above equations,

3(2) = 6(-3) + 12

6 = -18+12

6≠ -6  

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4+7 = -4

11 ≠ -4

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12 = 12

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The solution of the system of equations are x = -4 and y=1.

How to solve system of equations?

Look at substitution and elimination as two methods for algebraically solving systems of linear equations.To better comprehend when systems of linear equations have one solution, no solutions, or infinitely many solutions, let's look at systems of linear equations graphically.Investigate algebraic techniques for counting the number of solutions to systems involving two linear equations.

5x+y=-19  -- (i)

5x-4y=-24 ---(ii)

Subtract the above two equations:

5y = 5

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Answer:

Is there an image? I cant figure it out without the image

Step-by-step explanation:

Find the area of a circle with radius equal to 4.

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the radius of circle is 4cm

22 by 7 ×4×4

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[tex]i \: think \: this \: is \: help \: full \: for \: you \: \\ \\ ]{?} [/tex]

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Answer:

Okay so for this one use the Pythagorean theorem

Step-by-step explanation:

A^2 + 28^2 = 128^2

You are trying to find A.

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What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?

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Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

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Answer: 117

Step-by-step explanation:

first comment on first response!!! Thank you btwww!

Please help I kind of understand but not fully

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Answer:

Graph #1 - y=-20x+40

Graph #2 - y=5x+10

Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use

M = y2-y1/x2-x1

FROM GRAPH #1:

(3,40) (2,80)

(x1,y1)    (x2,y2)

   80-40/2-3

      20/-1

    M = -20

FROM GRAPH #2:

(1,10) (3,20)

(x1,y1)  (x2,y2)

  20-10/3-1

     10/2

    M = 5

2. Now once you find the slope you will use the equation of a line formula to form an equation.

y=mx+b

The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)

3. Since we now know the equation of a line and the slope we will substitute the variables.

Graph #1:

y=mx+b

y=-20x+40

Graph #2:

y=mx+b

y=5x+10

HOPE THIS HELPS :)

A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)​

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Answer:

Capacity = 9.63509

Step-by-step explanation:

V = πr²h

9.5 x 9.5 x 3.14 = 283.385

283.385 x 34 = 9,635.09

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Please let me know if this helps.

g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample

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Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

Raymond kept track of the number of hours that he spent practicing the piano each week for several weeks. He spent 2, 4, 8, 6, and 5 hours. What is the range of the data set? B. 5 hours O A. 2 hours O O O D. 6 hours C. 8 hours​

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The answer is D, 6 hours

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Answer:

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9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

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The zero product rule tells you the solutions are found where the factors are zero:

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_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

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