The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.

The Graph Shows The Number Of Possible Passengers For A Givennumber Of Roller Coaster Cars That Leave

Answers

Answer 1

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.


Related Questions

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

W/11+10=10 w/11=0. W=

Answers

Answer:

w= 0

Step-by-step explanation:

a. 0/11+ 10= 10

0/11= 0

0+ 10= 10

b. 0/11= 0

plz answer this 20 points

Answers

A. |8| > |7|.

Explanation: These numbers are in absolute value. Therefore, the absolute value of -8 is actually 8, which makes it greater than the absolute value of 7 in this equation.

Evaluate the expression for b = 3 and c = 5.

b2c − 11 =

Answers

Answer:

34

Step-by-step explanation:

b = 3 and c = 5

Substitute and evaluate:

b²c - 11 =3²*5 - 11 = 9*5 - 11 =45 - 11 =34

Answer:

[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]

How many inches is the box's side?
And please explain how you found the answer
Thank you :)

Answers

Answer:

[tex]x\approx 13.27 in[/tex]

Step-by-step explanation:

I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).

Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get

[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]

Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght

[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]

At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:

[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]

A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Answers

Step-by-step explanation:Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.

Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.

Answers

Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8

Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:

26 = 1.4r + 8

26 - 8 = 1.4r

18 = 1.4r

18 / 1.4 = r

12.85 = r

Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.

Quick math check:

1.4(12) + 8 = $24.8 which is less then $26.

I hope this helps! :)

PART C
What should the height of a can of fruit juice used as a prop be if its actual
height is 7 inches? Show your work.

Answers

Answer:

15 in i am guessing

Step-by-step explanation:

i need to know the height of the can first

The height of a can of fruit juice used as a prop, if its actual height is 7 inches, should be of 3.85 inches.

What is a proportional relationship?

A proportional relationship is a linear function that has an intercept of zero and hence it has the output variable y as the multiplication of the input variable x and the constant of proportionality k, as follows:y = kx.

Given that, the input and the output variables in this problem are as follows:

Input variable: Actual height = 80 in

Output variable: Height on set = 44 in

k = 44/80

k = 0.55.

Therefore, the equation is:

y = 0.55x.

Then the height on the set when the actual height is of 7 inches is given by:

y = 0.55(7) = 3.85 inches.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

plz help will mark as brainliest​

Answers

-7.5

Explanation:

15/2 = 7.5
7.5 - 15 = -7.5

Step-by-step explanation:

tae tae tae tae tae tae tae tae

Compounds A and B are used in an experiment. The equation y=1200(12)x represents the remaining amount of compound A, in grams, after x minutes. The table shows the remaining amount of compound B. Time (min) Grams of B 1 750 2 375 3 187. 5 What is the positive difference in the initial amount of each compound? Enter your answer in the box. G.

Answers

Answer:

Yamete Kodasai

Step-by-step explanation:

Thankyou sa pnts

0 4
2 10
4 16
6 22
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

I think is non proportion

this got me confused but can somebody please tell me what the answer is to: 7(2x - 3) = 14x + 7​

Answers

Answer:

14x-21=14x +7

x cancels all out which leaves with just

28

Answer:

There is no x that satisfies the condition.

Step-by-step explanation:

7(2x - 3) = 14x + 7

14x - 21 = 14x + 7

-21 = 7

contradiction

For the equation y = 2 = – 21 find x when y = 2.​

Answers

Answer: 2 = 3/4x -2 1/2

2 = 3/4•x -(2 + 1/2)

3x = 18

x = 6

Answer: Hope This Helps

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (10/3 ,0)

y-intercept(s): (0−5/2)

If line L is parallel to line M, solve for x and y​

Answers

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

Please help meeeeee plzzzzz

Answers

tax because the tax shows you what you paid and ect

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The graph of f(x) = 2x is shown on the grid.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).

The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?

On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.

Answers

Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

What is exponential growth or decay function?

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2

how to convert m to mm

Answers

You need to multiply the number that is needed to get to mm by 1000

Example: 4m x 1000 = 4000mm
or
4m ——> 4000mm

Find the coordinates of R please

Answers

Answer:

3,-3

Step-by-step explanation:

The coordinates are 3 and -3. x is 3 and y is -3.

Answer:

(3,-3)

Step-by-step explanation:

as the answer is at down of x axis

I need help with a few questions, if you answer one that is Great too!​

Answers

Answer:

E is (5, 1)

Step-by-step explanation:

Let E be the point (x, y).

(-3 - x)^2 + ( 7 - y)^2 = 10^2   ( Pythagoras theorem)

Now 64^2 + 36^2 = 10^2 so we try:

(-3 - 5)^2 + ( 7- 1)^2 = 100

Giving x = 5 and y = 1 which looks right from the diagram.

y+x=1 2x+y=5 x+y=5 solve

Answers

Answer:

x=5-y

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

The answer is A plot the points

work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)

Answers

the answer should be y=1/2x+2

A line includes the points (8,6) and (6, 10). What is its equation in point-slope form?​

Answers

Answer:

-2

Step-by-step explanation:

-4/2

or -2

yeah- ya. right?

The answer is going to be -2.

y=x^(2)-8x+15 write in intercept form

Answers

i believe it’s y=(x-3)(x-5)

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

please solve the question

Answers

Cannot see the question

David walked for 20 minutes with the speed of 3 mph. How far did he walk?

HELP!!!

Answers

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an

Answers

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4

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