An elevator rises steadily up a skyscraper. After 4 s it is 33 m above the ground, 2 s later it is 47 m above the ground. Which equation models its position, y, with respect to time, x?

A. y-47= -7(x-2)
B. y+33=7(x+4)
C. y-33= -7(x-4)
D. y-33=7(x-4)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

It would be c i took the test:)

Answer 2

The required equation model would be y - 33 = -7(x -4) which is the correct answer would be option (C).

What is the slope of the line?

A line's slope is defined as its inclination. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider Points 1 and 2 on a line. Point 1's coordinates are (x₁ , y₁), and Point 2's coordinates are (x₂, y₂).

Given that the continuously rising building is an elevator. It is 33 meters above the ground after 4 seconds, and 47 meters above the earth after 2 seconds.

Let the required equation model would be as:

y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 4, y₁ = 33

x₂ = 2, y₂ = 47

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

Substitute values in the equation, we get

⇒ y - 33 = (47-33)/(2-4 )[x -4]

⇒ y - 33 = 14/(-2 )[x -4]

⇒ y - 33 = -7(x -4)

Therefore, the equation model is y - 33 = -7(x -4).

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Related Questions

Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?

Answers

Answer:

Dylan owed a $1,264 fee, and earned $316

Step-by-step explanation:

First find out how much money he gets in 4 weeks without the fee

395 times 4 = $1,580

Then multiply 1,580 by the .2 percent he owes the eployment agency

$316

(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.

Dylan owe the employment agency $316

First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:

= Weekly earnings × Number of weeks

= $395 × 4

= $1580

Since Dylan pays 20% to the employment agency, then the amount owed will be:

= 20% × $1580

= 0.2 × $1580

= $316

In conclusion, Dylan owe the employment agency $316.

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Martina swam 4 kilometers against the current in the same amount of time it took her to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Martina swim if there were no current

Answers

5 miles/hour with out current

The graph shows the equation y = 2x – 3. Use the slider for a to move the vertical line on the graph. Based on the vertical line test, is this equation a function? Why or why not?

Answers

Answer:

Yes. The vertical line never touches the graph at more than one point at the same time.

Step-by-step explanation:

this is the plato and edmentum answer

(make sure this is the right question)

As the vertical line touches the graph of the equation y = 2x - 3 it is a function.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x - 3.

Now, If we draw a vertical line and it touches the graph at only one point

the equation is a function but if the vertical line touches the graph at more than two points the equation is not a function.

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what is the length of AC?​

Answers

The answer to the question is 35.

The length of AC is 25, the reason is because you can see what the length is from A to B which is 13, then you see the length between B and C which is 22. When you combine the two lengths it should add up to 25.

To practice for a competition, Genevieve swam 590 meters in the pool each day for 3 weeks. How many kilometers did Genevieve swim in those 3 weeks?

Answers

Answer:

12.39km

Step-by-step explanation:

If Genevieve swam 590 meters for 3 weeks, then the equation is:

590 * 21

590 represents the number of meters Genevieve swam, and 21 is the number of days in 3 weeks.

Hope this helped!

Answer:

12.39 kilometers

Step-by-step explanation:

if she swan 590 meters each day, we know that there are 7 days in a week so multiply 7 by 3 and get 21 days. then multiply 590 by 21 and get 12390 meters. BUT the question is asking for kilometers so we are not done. from here we have to convert 12390 meters to ___ kilometers. to go from meters to kilometers divide by 1000 and we will get 12.39 kilometers.

hope this helps! brainliest please?

Which of the following equations is not equivalent to 5x-10=40 *
x+2=12
x-1=11
10x=100
2x=20

Answers

10x=100 because tbh if you Calculate 5x-10=40 it’s give you your answer and go off of that.

If cx - d = f, what is an equivalent equation solved for X?

Answers

Answer:

(f+d)/c  

Step-by-step explanation:

First get rid of -d on the left side by adding d to both sides

cx - d = f  -->   cx = f + d

Then remove c from the left side by dividing both sides by c.

cx = f + d  -->  x = (f + d)/c

Which expression represents the phrase: “3 fewer than a number, p”? *
a) 3 – p
b) p / 3
c) 3 / p
d) p – 3
Explain pls and ty < 3

Answers

d) p - 3

3 fewer than menas you need to subtract 3

The expression represents the phrase “3 fewer than a number, p” is (p-3).

Given

Expression;  the phrase: “3 fewer than a number, p

What is the phrase?

A small group of words standing together as a conceptual unit, typically forming a component of a clause:

The given number is p which is smaller than a number which is 3.

Expression;  the phrase: “3 fewer than a number, p”

Then,

The expression represents the phrase is;

[tex]\rm =P-3[/tex]

Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).

To know more about the Phrase click the link given below.

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Can someone help me out?

Answers

1. perimeter = 4 and area = 1

2. permeter = 8 and area = 4

3. perimeter = 12 and area = 9

4. perimeter = 16 and area = 16

5. perimeter = 20 and area = 25

You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value

Answers

Answer:

yduhegeggegeheygegeveheyegeveheuegeveve

Step-by-step explanation:

your very welcome

If you have 584 packages of hard candy to rebox for shipment to a discount store and you can pack 12 packages in each box, how many boxes will you need ?

Answers

Answer:

48.6666 round up to 49

Step-by-step explanation

do 584 divided by 12 equals 48.6666 then round up to 49

Answer:

49

Step-by-step explanation:

What you do is 584 divided by 12. That will give you 48.6666. You can’t have 48.6666 boxes so you round up. You will need 49 boxes.

Sanjay’s present age is ‘y’ years. Form an algebraic expression for:
a)Sanjay’s age 7 years from now
b)Sanjay’s brother’s age is 4 years less than Sanjay’s presentage
c)Sanjay’s mother’s age is 3 times that of Sanjay’spresentage.
d)Sanjay’s grandfather’s age is 30years more than Sanjay’s mother’sage.
e)Sanjay’s father’s age is 8 years more than 6 times Sanjay’s age.

Answers

Answer:

a. y + 7

b. y - 4

c. y times 3 or 3y

d. 3y + 30

e. 6y + 8

Step-by-step explanation:

Algebraic expressions don't need to be a complete equation.

Find the slope, m of the line that passes through the points (-1, 6) and (3, 8).
Enter your answer as a fraction in simplest form in the box.
m =

Answers

Answer: m = ½

.........................

Answer:

The answer is -1/2

Step-by-step explanation:

The equation for slope is rise over run (change in y divided by change in x). Therefore, it would be 2/-4. This simplifies to -1/2

help much appreciated ):

Answers

Answer

Step-by-step explanation:

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PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

ANSWER- NOT A FUNCTION, EACH INPUT HAS MORE THAN ONE OUTPUT

For the function f(x)=x2−8x+8, use f(x)=−4 to find two points on the graph of the function.

Answers

Answer:

56

Step-by-step explanation:

f (-4)=(-4^2)-8 (-4)+8

f(-4)=54

The two points on the graph of the function are (2, -4) and (6, -4).

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function,

f(x) = x²−8x+8.

When f(x) = -4

That means,

quadratic equation,

x²−8x+8 = -4

x²−8x+12 = 0

x²−6x -2x + 12 = 0

x(x - 6) - 2(x - 6) = 0

x = 2 and x = 6

Therefore, the two points are (2, -4) and (6, -4).

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Lisa paid 45.30 for 15.9 gallons of gasoline.what was the cost per gallon, rounded to the nearest hundreath

Answers

Answer:

About $2.85 per gallon

Step-by-step explanation:

We can set up a proportion [tex]\frac{45.3}{15.9}[/tex]=[tex]\frac{x}{1}[/tex] we can then cross multiply, getting 15.9x=45.3. When you divide you get about $2.85

Keith Hernandez has asked Jerry and Kramer to help him move into a new apartment on Sunday morning. He has asked them both in case one of them does not show up. From past experience, Keith knows that there is a 41% chance that Jerry will not show up and a 31% chance that Kramer will not show up. Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
Probability
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability

Answers

Answer:

a. 0.41

b. 0.87

c. 0.13

Step-by-step explanation:

From the above question:

We are told that:

Probability that Jerry will not show up = 41% = 0.41

Probability that Jerry will show up =

100 - 41 = 59 = 0.59

Probability that Kramer will not show up = 31% = 0.31

Probability that Kramer will show up

= 100 - 31 = 69% = 0.69

Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.

a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)

= P(A) × P(B)

= Probability the Jerry will show up × Probability that Kramer will show up

= 0.69 × 0.59

= 0.4071

≈ 2 decimal places = 0.41

b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)

Probability = 1 - the probability that both Jerry and Kramer will not show up

= 1 - (0.41 × 0.31)

= 1 - 0.1271

= 0.8729

Approximately to 2 decimal places = 0.87

c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)

Probability = Probability the Jerry will not show up × Probability that Kramer will not show up

= 0.41 × 0.31

= 0.1271

To 2 decimal places = 0.13

How do you do this question?

Answers

Answer:

Cartesian Equation: y = √(1 - x^2)

Graph: Second one

Step-by-step explanation:

x^2 = sin^2(θ/2),

y^2 = cos^2(θ/2),

According to that theory, by the circle equation, x^2 + y^2 = 1^2.

When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0

When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0

The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;

When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,

In Cartesian form, the equation is  y = √(1 - x^2)

A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?

Answers

Answer:

72 on edge

Step-by-step explanation:

Answer:

94.50

Step-by-step explanation:


help me please, thank you sm

Answers

Answer:

Option B

Step-by-step explanation:

Y=3, when x value is substituted

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees

Answers

Answer: C |x – 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

The equation which can be used to determine the minimum and maximum optimal angles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.

What is an Angle?

This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.

In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.

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Gladstone Community Center charges a one-time membership fee of $45 plus a monthly fee of $25. YMCA charges $39 a month. Write an inequality that shows the number of months it would take for Gladstone to be less expensive than the YMCA.

Answers

Answer:

31

Step-by-step explanation:

70 - 39 = 31

20 points help please <333.

Answers

Answer:

Step-by-step explanation:

What you need to do is look at the chart and see how much it is for one of those, multiply it by the number of how many you need, add up how much money it will cost him, and how much money he needs.

D
Question 2
1 pts
Witch-in-training Blythe buys a box of chocolate frog cupcakes for her new neighbors, but they look so delicious, she decides to try a copy spell to create an extra batch for herself. But oh,
no, the spell goes wrong, and now the cupcakes won't stop copying themselves. There were 12 cupcakes to start off with, and their numbers increase at a rate of 20% per minute. Which
equation below could be used to determine how many cupcakes there will be after 'm' minutes?

Answers

Answer:

Step-byWhich of the following is a common sign that a chemical change has occurred?-step explanation:

What is the equivalent of 7(7q+5)

Answers

Answer:

14q + 35

Step-by-step explanation:

Step 1: Write expression

7(7q + 5)

Step 2: Distribute 7 to each term

14q + 35

Which type of data is most appropriate to display in the data below

Answers

Please show us the picture before you ask the question

m - 6 > -9
Solve the inequality

Answers

Answer:

m> -3

Step-by-step explanation:

m-6 > - 9

you use inverse opperations and you add six to the other side.

m-6 > - 9

+6       +6

m > -3

Explain what this student is doing to go from x^2−6x−3= 0 to (x−3)^2 =12

Answers

The student is solving the quadratic equation by completing the square.

The equation y = −3x + 7 represents the amount of water y left in a 7-gallon tub after x minutes. What is the slope of the line? What does the slope mean in this context?

Answers

The slope here is the -3. The slope in this context means how -3 gallons are gone after each minute. For example, after 1 minute, there would be 4 gallons left.

Hope this helps!!

The slope means in this context, the draining of water is 3 gallons per minute. Then the slope of the line will be negative 3.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = −3x + 7, represents the amount of water y left in a 7-gallon tub after x minutes.

Then the slope of the line will be negative 3.

The slope means in this context, the draining of water is 3 gallons per minute.

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