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.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x

Answers

Answer 1

The linear equation is y = 8x and the slope of the graph is 8

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

Using the points (2, 16) and (3, 24):

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

Hence the linear equation is y = 8x

Find out more on linear equation at: https://brainly.com/question/14323743

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

Related Questions

Find the roots 5x^2+16=7x^2/3

Answers

Answer: I Got No solution for this problem

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa

Answers

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:

[tex]E = \frac{5x}{6}[/tex]

Los americanos son la dècime parte de los europeos, o sea:

[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]

Los africanos son la quinta parte de los americanos, o sea:

[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]

En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:

[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]

Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636

Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.

Step-by-step explanation:

10. Given m and b, write the equation of the line:
m= -4; b = 2

Answers

Answer:

y = -4x + 2

Step-by-step explanation:

Please help!
A rock is dropped down from the top of a​ 500-foot cliff. After 1​ second, the rock is traveling 32 feet per second. After 4 ​seconds, the rock is traveling 128 feet per second.

a. Assume that the relationship between​ time, t, and​ speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form​ (time, speed).

b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.

Answers

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3.  Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

What’s the domain and range for this? And is it a function? Yes or No

Answers

You are given the domain and range ( the numbers in each oval):

If There is more than one arrow connected to a number, that number is listed the same amount

Domain (-4,0,6,6)

Range (12,18,18,40)

To be a function each input value ( Domain) can only have one output value (range)

Because the 6 has two different outputs ( 12, 18) this is not a function.

Answer:

The input 6 (domain) leads to two outputs thus it is not a function.

Step-by-step explanation:

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

solve for A and line AB

Answers

Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

Helpppp asapppppppppppppp 15 points

Answers

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17

HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW

Answers

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Write as a monomial in standard form
(3x*3y)\x*y

Answers

[tex] \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.

Answers

Answer:

50

Step-by-step explanation:

she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10

Line a goes through the points (- 3, 4) and (1, 2) . Line b goes through the point (6, 2) and (8, 1) . Are lines a and b parallel, perpendicular, or neither?

Answers

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

HELP ME PLEASE, I need help and don’t understand at all !

Answers

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If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.

Answers

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?

Answers

Answer:

x =  - 11

Step-by-step explanation:

Solving

(x + 5)² = 36 ( take square root of both sides )

x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )

x = - 5 ± 6

Then

x = - 5 + 6 = 1

x = - 5 - 6 = - 11

The other solution is x = - 11

Malcolm took 18 minutes to do 15 math problems. Diedra took 17 minutes to do 16 math problems. Which student did more problems per minute?

Answers

The student that did more maths problems per minute is Diedra.

In order to determine which student did more maths problems per minute, the rate of each student has to be determined. Rate is the total questions solved divided by the time.

Rate = total questions / total time

Malcolm = 15 / 18 = 0.833 problems per minute

Diedra = 16/ 17 = 0.941 problems per minute

To learn more about rate, please check: brainly.com/question/9834403

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

-21z-35t+21g

Step-by-step explanation:

Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g

does the table represent a function, -3, 6, -2,9, 0,4, -2,5

Answers

Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6

Answers

Answer:

D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.

Step-by-step explanation:

PLEASE HELPPP!!
Find the value of X.

Answers

6x+10+81.5=180
Combine like terms
6x + 91.5 = 180
Subtract 91.5 from both sides
6x = 88.5
Divide by 6
X = 14.75

The answer is 3) 14.75

May I please receive help?

Answers

Are you looking for a acute angle?

Answer:

Its right angel

Step-by-step explanation:

Sorry if m wrong

HELP HURRY PLS

What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Which of these is always true?

A. Two lines that are the always same distance apart are perpendicular.

B. Two lines that are always the same distance apart are parallel.

C. Two lines that share common end point are always perpendicular.

D. Two lines that share common end point are always parallel.

Answers

Answer:

B

Step-by-step explanation:

(Meeting character limit)

The quadratic function f(x)= x^2-14x+53 is equal to zero when x=a+ or - bi
What is the value of a?
What is the value of b?

Answers

Answer:

A= 3x B= 6/8

Step-by-step explanation:

The value of a is 7, and the value of b is 2√(2) for the given quadratic function f(x) = x² - 14x + 53.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The quadratic function f(x) = x² - 14x + 53 is equal to zero when x = a + bi or x = a - bi. This means that the roots of the quadratic equation are a + bi and a - bi.

The roots of a quadratic equation can be found using the quadratic formula:

x = (-b +/- √(b² - 4ac)) / (2a)

In this case, a = 1, b = -14, and c = 53. Substituting these values into the quadratic formula, we get:

x = (-(-14) +/- √((-14)² - 4153)) / (2*1)

x = (14 +/- √(196 - 212)) / 2

x = (14 +/- √(-16)) / 2

Since the square root of a negative number is an imaginary number, the roots of the quadratic equation are a + bi and a - bi, where a = 14/2 = 7 and b = √(-16)/2 = 2√(2).

Therefore, the value of a is 7, and the value of b is 2√(2).

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?

Answers

Answer:

The tax is 8%

Step-by-step explanation:

Take the final price and subtract the original price

513-475 = 38

Divide by the original price

38/475 =.08

Change to percent form

8%

The tax is 8%

The tax price is 8%

513 - 475 = 38

38/475 = 0.08

To check your work.

475 x 0.08 = 38

475 + 38 = 513

Meaning the answer is 8%

3/5 x (1/5 + 4/5) What is the answer

Answers

Answer:

The answer is 0.6

Step-by-step explanation:

Let’s break this question down.

Using BIDMAS or BODMAS, whatever you are taught, we must work out everything inside the brackets first.

So 1/5 + 4/5 = 5/5 = 1

Now we can do 3/5 x 1 = 3/5.

Therefore, the answer is 3/5.

Hope this helps :)

What is -7w-4-5w+13 simplified?

Answers

-12W+9
It’s right I am an algebra 1 teacher

please show work

10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?

Answers

Answer:

34.2 m

Step-by-step explanation:

We know that

Area of parallelogram = Base × Height

690.84 = B × 20.2

690.84/20.2 = B

34.2 = B

Hence,

Base of parallelogram is 34.2 m

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Here we've been given:

Area of parallelogram (A) = 690.84 m²

Height (H) = 20.2 m

Length of base (B) = ?

[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]

The length of base is 34.2m.

Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6

Answers

the answer is 5 tickets

Answer:

5 tickets

Step-by-step explanation:

45 - 6.75 = 37.35

37.35 ÷ 4 = 9.3375

So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.

Answers

Answer:

109.5890410958904

Step-by-step explanation:

thats  the shares that the investor owns

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