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


Related Questions


Find the least common denominator of
7
and
X+4 x-4

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(X+4)(X-4) is the LCD because you just have to look at the denominators and see what factors or values are not already part of your LCD.

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.

PLS HELP

Answers

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

full within one year. He has $1,500 in his checking account. Compare the

advantages and disadvantages to using either a debit card or a credit card.

Answer:

Advantages & disadvantages given below

Step-by-step explanation:

Advantages;

1. They have low fees; for example almost all store credit cards don't charge annual fees but instead they promote some very good offers.

2. Possibility of having discounts from retailers; because majority of retailers usually love promoting their credit cards because it helps them ensure they save more money and they hold on to this principle judiciously. For example there could be discounts upon first purchase or when you shop at target stores which they offer.

3) Majority of store credit cards offer a lot of benefits for members. For, owners of store credit cards could be offered the option of returning purchased items without presenting the receipt. There could also be I stances where they are giving free shipping of their products or they could be exposed to some good favorable payment plans.

Disadvantages;

1. Their credit limits are usually far lower than those of credit and debit cards.

2. Other cards give more flexible discount and reward system to its customers. This includes cash back or giving the incentive of earning more points when they spend beyond a certain amount.

Can anyone tell me what the answer please

Answers

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

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

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

- breezyツ

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

Answers

the radius of circle is 4cm

22 by 7 ×4×4

22 by 7 × 4 = 50.24cm²

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

Find the value of Y helpppp

Answers

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

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

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

Answers

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.

The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.

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Answer:

8mph

Step-by-step explanation:

I just answered the question

Find the area of the sector.

Answers

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

help me please I will mark 5 stars please it is urgent

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Answer:

a) 3sec

b) highest point of 50

c) at 0 by 8 sec

What is the 20th term of the arithmetic sequence
3, 9, 15, 21, 27, ...?

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Answer: 117

Step-by-step explanation:

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

Can someone help me pls

Answers

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.

So 28^2 is 784

128^2 is 16384

Now you will subtract 784 from both sides of the equation your new equation should be this: a^2 = 15600

Now you find the square root of both sides which gives you: A= 124.89 round it to 125

Find the solution of the system of equations.

5x+y=-19

5x-4y=-24

Answers

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

y = 1

Substitute y=1 in equation (ii)

5x - 4(1) = -24

5x = -20

x = -4

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

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https://brainly.com/question/2972832

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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)​

Answers

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

9,635.09 ÷ 1,000 = 9.63509

Please let me know if this helps.

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​

Answers

The answer is D, 6 hours

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?

Answers

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

A x 2 = your answer

Interest rate fixed at 6%, n = 26 payments per year, for payment
amounts of $50, $100, $150, $200 (4 separate sheets-1 for each payment amount)

Answers

Answer:

hi the anser might be 600$

Step-by-step explanation:

Select the correct answer.


The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?

A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset

Answers

Answer:

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

Step-by-step explanation:

Determine whether each ordered pair is a solution of the system of linear equations.
3y = 6x + 12
2x - y = -4
a. (-3,2)
b. (0,4)
a. Is (-3,2) a solution?
0 Yes
Ο Νο
b. Is (0,4) a solution?
O No
0 Yes

Answers

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  

2x - y = -4

2(2) -(-3) =-4

4+7 = -4

11 ≠ -4

No, (-3,2) is not the solution.

Similarly, put (0,4) in the abve equations,

3(4) = 6(0) + 12

12 = 12

and

2(0) - 4 = -4

-4 = -4

Hence, (0,4) is a solution of the given equations.

how many possible outcomes are there?​

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I can only see half the image

Serena forms a random sample of 200 seventh graders from her school to learn which type of school lunch they most prefer. The results of her survey are shown below.

Food Type Chicken Nuggets Tacos Spaghetti
Number of students 87 86 27


Which is the best inference you can form based on the data? (3 points)



a
Chicken nuggets and tacos were almost liked the same amount

b
Tacos are twice as popular as spaghetti.

c
Chicken nuggets is twice as popular as spaghetti.

d
Tacos were the students' top choice

Answers

Answer:

a

Step-by-step explanation:

86 and 87 are similar. Also none of the other answers are correct

25272 to egg egg egg rn do u do

Please help I’m really struggling!!!!!

Answers

9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

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

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

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.

ILL GIVE YOU BRAINLIEST PLEASE ANSWER

Answers

2*3.14*4*7+2*3.14*4^2=
276.32

Pls help A bag contains 40 colored tiles. There are 12 red, 17 blue, 8 yellow and 3 green. One tile is drawn at
random which color is likely to be chosen? Pls I need help it will mean the world to me have a good day thank u pls help


A.red
B.green
C.yellow
D.blue

Answers

D blue I think, it has the most tiles in the bag 17/40 while all the other fractions are smaller decreasing their chances

Brainliest for correct answer

Answers

Answer:

V =1884 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi ( 10) ^2 * 6

V = pi ( 600) in^3

Using 3.14  for pi

V = 3.14 * 600 in ^3

V =1884 in ^3

(Please answer this asap)

Mia has a circular garden that she wants to put a fence around.

She knows that the area of a garden is 9p yds^2.

How much fencing does Mia need to go around the circumference of the garden?


Answers

Answer:

uhh i think 19?-

Step-by-step explanation:

i tried sorry-

Please help I kind of understand but not fully

Answers

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 :)

Can someone help me with this? Please and thank you

Answers

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.

More can be learned about parallel and transversal lines at https://brainly.com/question/24607467

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Help:’/ it’s my last year

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1 1=60° 2=60° 3=60°
2 h=127°
Hope this helps

PLEASE HELP !!!!!
What is the value of the missing angle?

Answers

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

Answer:

B

Step-by-step explanation:

100-30=70° Remeber this is a right triangle

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

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Answer:

3

Step-by-step explanation:

23

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