Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.

a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?

Answers

Answer 1

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145


Related Questions

The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.

Answers

Answer:

76377/9338912

Step-by-step explanation:

Help me with questions please​

Answers

Answer:

44

Step-by-step explanation:

because you just 22 x 22 and you get 44

Answer:

1520.53mm^2

Step-by-step explanation:

A=πr2

Radius=22mm

A=π·22^2

=1520.53mm^2

Hope this helps :)

which is the graph of y -3 equals -2/3 (x + 6)
NO LINKS​

Answers

Step-by-step explanation:

This is point-slope form:

[tex]y-y1=m(x-x1)[/tex]

in this case:

[tex]y-3=-\frac{2}{3} (x+6)[/tex]

Looking at the structure of point slope form up top, you can find the slope and one point.

[tex]m=-\frac{2}{3} \\x1=-6\\y1=3\\(-6,3)[/tex]

Now, just find the graph with a slope of [tex]-\frac{2}{3}[/tex] that passes through (-6, 3). It's hard to see on the image, but that looks like the top left.

By the way, what's the "no links" thing about? I just came back to this site after a year away

Please hurry will mark brainliest if you answer correctly

Answers

40.00 is the correct answer

which inequality has he same solutions as d < -5

Answers

-d < 5 has the same the same solution

Multiplying polynomials

Answers

Steps are in the attachment.

________

Hope it helps :)) ⚜

Six times a number plus 7 is equal to 55. What is the number?

Answers

Answer:

6x_+7=55, the answer is 13, why? well because if you add 6+7 you will have 13, now you can multiple that by 5, and you will have 55 as an answer, did I helped you?

Four bags of Puppy Chow dog food weighs 142 pounds. What is the weight, in pounds, of one bag of Puppy Chow dog food?

Answers

Answer:

Is 35.5

Step-by-step explanation:

Pls give brainliest

Answer:

35.5 Lbs.

Step-by-step explanation:

You would just take 142 and divide that by 4 and you will get the weight of 1 bag. It would be 35.5 pounds.

evaluate -x^3 - 3x^2 + 4 when x = -2

Answers

The answer = 0

-(-2)^3 = 8

-3(-2^2)= -12

Then add 4

-12 + 4 + 8 = 0

Answer:

32

Step-by-step explanation:

x = -2

-x^3 - 3x^2 + 4

-(-2)^3+6^2+4

8+36+4=48

Hope this helps :)

Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?

Answers

Answer:

The answer is not reasonable.

The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.

Step-by-step explanation:

Hope this helps :) Mark me brainliest if anyone else answers this question.

3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2

Answers

The number three is correct

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

What is a graph?

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

brainly.com/question/10712002

#SPJ7

Solve by factoring 12x^3+12x^2=0

Answers

Factor out the GCF
12x^2(x + 1) = 0
Now you can do two parts
12x^2 = 0, x = 0
x + 1 = 0, x = -1

Solution: x = 0, x = -1

Factor out the GCF

12x^2(x + 1) = 0

Now you can do two parts

12x^2 = 0, x = 0

x + 1 = 0, x = -1

Solution: x = 0, x = -1

brainliest pls

In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to

Answers

Answer:

L is equal to 0.25.

Do you want me to put an explanation?

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 1 hour?

Answers

Answer: $8.25

Step-by-step explanation: 33 divided by 4 (find unit rate)

Answer: $8.25

Step-by-step explanation:

Simply divide $33.00 by 4. 33/4 = 8.25

Triangle XYZ is similar to ABC.

Enter the missing side length.

Answers

11.6 is the missing side length

Mary’s sister is 7 years older than Mary. Their combined ages add up to 35. How old is Mary

Answers

Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

PLEASE HELP!
Jim wants to build a rectangular parking lot along a busy street but only has 1,800 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.

Answers

The largest area would be a square shape.

A square has 4 equal sides:

1800/4 = 450

Now because the street side doesn't have fencing, add that side length to one side of the fencing:

450 +450 = 900

Now the fence would have two widths of 450 feet and one length of 900 feet.

Area = length x width = 450 x 900 = 405,000 square feet.

Five kittens are sharing 6 cups of milk equally. How much milk does each kitten get?

Answers

Answer:

1 1/5

Step-by-step explanation:

We know that there is 5 kittens that have to eat six bowls of milk

Each cat would get 1 whole bowl of milk. All the kittens have to share 1/5 of the sixth bowl of milk.

Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

What is meant by Mathematical expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Expressions in writing are made using mathematical operators such addition, subtraction, multiplication, and division.. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations. For instance, the arithmetic operation 9 + 14/2 - 6*(5 + 3) results in -32.

Given,

6 cup of milk so there are 5 kitten

To give 6 cup of milk to 5 kitten is=6/5

= 6/5

=1  1/5

Therefore Five kittens are sharing 6 cups of milk equally so 1  1/5 cup of milk is given to each kitten.

To learn more about Mathematical expression refer to:

https://brainly.com/question/1859113

#SPJ2

maria has a share of 2/10 slice of cake what is the difficult form of the fraction

A. 0.02
B.0.2
C.0.002
D.0.20​

Answers

~fractions

= 2 ÷ 10

= B. 0,2 ✔️

the method is attached

~ nice to help you ^^

40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class

Answers

Answer:

25 students are in mr. Watsons class.

Step-by-step explanation:

10/40=.25, so 25 students

i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!

Answers

Answer:

480 miles

Step-by-step explanation:

Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.

There is no way to solve this otherwise though, so we'll assume the car's speed is constant.

280mi / 7h = 40mph

40mph * 12h = 480mi

Raju has to grow 26 cm more to reach 3 m height. What is Raju's height in metres​

Answers

Answer:

2.74 m

Step-by-step explanation:

3 m to cm is 300.

Then, 300 cm - 26 cm = 274 cm.

You asked "What is Raju's height in METRES"

So, 274 cm to m is 2.74.

Hope you understand ^^

Answer:

2.74 m

Step-by-step explanation:

Converting centimeter to meter: 26 cm = 0.26 m

3 - 0.26 = 2.74 m

Solve the system. Give answer as
(
x
,
y
,
z
)


2
x

2
y
+
4
z
=
0



6
x

4
y

4
z
=
2



3
x

8
y
+
4
z
=
1


(
x
,
y
,
z
)
=
(

,
,
)

Answers

Answer:

howwwwww

Step-by-step explanation:

it's alot going on

Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative

Answers

Answer:

B

Step-by-step explanation:

The P(A) = 0.4 and the P(B) = 0.32. What is P(A and B)? O a. 0.272 b. 0.128 O c.0.08 O d. 0.72​

Answers

Answer:

b

Step-by-step explanation:

the answer is no.b as P(A)*P(B)

3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?

Answers

Answer:

27 minutes

Step-by-step explanation:

please check the image it has all the steps to solve it . Thank you.

I need help please please whoever gets it correct I’ll give bairnlast

Answers

Answer:

(-1,-1)A

B (1,-3)

C (-2,-4)

In your own words what does pi 7 mean if it’s right I’ll give you brainliest

Answers

Answer:

10

Step-by-step explanation:

Which statement best describes what the volume of an object represents? Volume is the length of an object. Volume is the amount of matter in an object. Volume is the amount of space taken up by an object. Volume is the ability of an object to floa

Answers

Answer:

Volume is the amount of space taken up by an object

Find the error(s) and solve the problem correctly. Be sure to explain and show your work. Where did the "wrong answer" come from? sin 52° Answer: sin 52 = .9866

Answers

The error of the evaluation comes from the fact that Sin 52° = 0.7880.

According to the question;

we are required to determine what's wrong with the evaluation..

By evaluation;

Sin 52° when evaluated by means of a scientific calculator or tables gives; 0.7880.

The error can be determined by evaluating; the inverse sine of 0.9866.

Sin-¹ .9866 = 80.6.

Read more;

https://brainly.in/question/14817452

Other Questions
Where did the black girls learn to set the table and cook? If two resistors with resistances R, and Ry are wired in parallel, then their combined resistance R is given by the complex fraction R=R, REvaluate this formula when R1 = 70 ohms and R2 = 125 ohms. Find y. Simplify completely.y1625y = [?]VO=Enter the number that belongs in the green box,Enter what happened to the molecules when you moved the slider to 0c ? In the shooting of a movie, if something does not go according to script, which member of the team is least likely to notice?A. CinematographerB. directorC. ActorD. person in charge of continuity PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane. What are MAD (mitotic arrest deficient) proteins and when are they important in the cell cycle? -5x+35=40what are the steps? Will someone PLEASSSSSSEEEEEEEE help me Gavin has 50 tokens and continues to ride the roller coaster 3 times every hour (the roller costar costs 6 tokens to ride). Gibson has 12 tokens and finds 2 more tokens on the ground each hour. How long until they have the same number of tokens? in database systems, a table is also known as a _____. Imagine you are an astronaut and you travel to a planet with a much larger mass than Earth. How would this affect your weight? Explain your answer. (4 points) Spectators often marvel at shows that feature animals doing amazing stunts and complicated maneuvers. Animal trainers use __________ to accomplish this, by reinforcing behaviors that are progressively closer to the target behavior until the target behavior is achieved. An unknown substance was put in a container. The substance filled up the container from bottom up, taking half of the space in the container. What is most likely the state of matter of the substance?Gas Liquid Plasma Solid Please Help! Show your work At the school store, you buy 4 pencils and an eraser. The cost of the eraser is $0.85. Your total cost is $1.45. What is the cost of one pencil? Mention the methods of census and explain each of them in brief What was the primary reason that Roger Williams left the Massachusetts Bay colony and founded the Rhode Island colony1. He wanted to start a colony where the government had more power2. He was forced out by Native Americans3. He sought better opportunities for farming4. He was ordered to leave by the court because of his political beliefs on religious toleranceWhy did the Pilgrims leave England1. They sought gold, silver and riches2. They wanted to escape religion persecution3. They wanted to settle in a warmer climate4. The king wanted to discover new landWhat were some important industries along the Eastern coast in the New England colonies. Select all that apply1. shipping2. fur trade3. farming4. fishing5. tobacco farming________________________________________________________________________ The May Flower CompactIn the name of God, Amen. We, whose names are unwritten, the loyal subjects of our dread Sovereign Lord King James...Having undertaken, for the glory of god, and advancement of the Christian faith...a voyage to plant the first colony in the Northern parts of Virginia, do...solemnly and mutually...covenant [agree] and combine ourselves together into a civil body politic, for our better ordering and preservation...and by virtue hereof to enact, constitute [establish] and frame such just and equal laws...and offices...as shall be thought most meet [suitable] and convenient for the general good of the Colony unto which we promised all due to submission and obedience. In witness whereof we have hereunder subscribed our names...Anno Dom. 1620.________________________________________________________________________In The Mayflower Compact why do all the pilgrims promise " all due to submission and obedience"?1. to show that they will remain servants of God2. to show that they will follow the colony's rule3. to show that they will elect a colonial leader4. to show that they will follow the king of England If both parties to a budget negotiation seek to expand the overall budget so that each party gets more, this is an example of which kind of negotiation strategy what does it mean criticism ???? find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.