A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answers

Answer 1

Answer:

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Step-by-step explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!


Related Questions

The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is

Answers

Answer:

thxss for the points love

Step-by-step explanation:

kisses

Answer:

16

Step-by-step explanation:

Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6​

Answers

Answer:

A

Step-by-step explanation:

Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.

The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

The slope of the line p is:

m(p) = -4

The slope of the line q parallel to line p:

m(q) = -4

The equation of the line q:

y - 6 = -4[x + 3]

Line q passes through the point (-3, 6).

The equation of the line:

y = -4x - 12 + 6

y = -4x - 6

Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.

Learn more about the straight line here:

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Complete the equation of the line through (3,-1) and (4,7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

I put my work in the picture I attached

Answer:

y=8x-25

Step-by-step explanation:

1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8

2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b

3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25

4) then you put everything together and you get y=8x-25

If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.

Answers

Answer:

There are 8 possible outcomes

h h h

t t t

h t h

t h h

h h t

h t t

t t h

t h t

One head and 2 tails occurs in the sixth, seventh and eighth rows.

So, the probability is 3 out of 8 or 3/8 or .375

Step-by-step explanation:

The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.

Answers

Step-by-step explanation:

The height, h in feet, of a rocket is given by, where t is time in seconds.

[tex]h=-16t^2+64t+190[/tex] ...(1)

We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

So, it will reach its maximum height in 2 seconds.

Now put t = 2 in equation (1) as follows :

[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]

So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.

the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x​

Answers

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.

Answers

Answer:

d=5h because the number of hours run multiplied by 5 would equal the

total distance.

y’all what is 1/7=1/7x-3

Answers

Answer:

x=22

Step-by-step explanation:

Evaluate each value expression for the given value of x: 22-x/5 , x=20

Answers

Answer:

18

Step-by-step explanation:

or

for taking sq root:

x=√10 or x=−√10

20 points and brainliest.

Answers

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3

You want to buy a new TV the has a regular price of $450. It is on sale for 20% off.

What is the amount of discount?
$95.40

What is the sale price?

Answers

Answer:

you just have to be poggers and the answer will come to you

Step-by-step explanation:

CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi

Answers

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???

Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?

Answers

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

$6.5 per yard of fabric

giving extra points pls help

Answers

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

1. If g(x)= 4(3)* then g(-2)= ?


Help please

Answers

Answer:

-8

Step-by-step explanation:

Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!

Why does the sequence of translating and reflections matter?

Answers

Answer:

If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.

Step-by-step explanation:

Hope this helps you with your math

Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.


Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.

Answers

Answer:

2/3

3/5

Step-by-step explanation:

Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0

Answers

Answer:

I think -4

Step-by-step explanation:

which is the line of best fit and why?

Answers

Responder:

Opción de respuesta c

Explicación paso a paso:

Es una pendiente positiva como los datos, también coincide con muchos de los puntos.

Espero que te aya ayudado

Answer:

Answer choice c

Step-by-step explanation:

It is a positive slope like the data, it also matches up with many of the points.

Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since the slope of the line, m = -1/2

and we know that, line equation is, y=mx+c

so the answer is, option 1.)

1.) y-4 = -1/2 (x+6)

PLEASE HELP WITH THIS!

Answers

Answer:

42

Step-by-step explanation:

Answer:

The answer would be (A.)

Step-by-step explanation:

Can you answer my question that i just posted please and thank you :)

Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.

Answers

Answer:

5

Step-by-step explanation

Aops Question

[x] can be any number between -

3.33 < x < 4.29.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following inequality -

[tex]$\frac{2}{3} < \frac{x}{5} < \frac{6}{7}[/tex]

We can write -

x/5 > 2/3

x > 10/3

x > 3.33

and

x/5 < 6/7

x < 30/7

x < 4.29

[x] can be any number between -

3.33 < x < 4.29

Therefore, [x] can be any number between -

3.33 < x < 4.29.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Can u help my 9-12 real quick

Answers

Answer:

9. B

10. C

11. A (probably)

12. D

Answer:

9) a

10) c

11) a

12) d

( I don't know if 11 and 12 are correct)

can someone help wit this asap i have 10 more mins

Answers

A is the correct answer

i need help asap......

Answers

I only know the labels I’m not sure abt the rest. K = (-4,4) L= (4,4) M = (4,-4) N = (-4,-4)

Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?

Answers

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.

All students at the university
The proportion of the 300 surveyed students who are in-state students
The list of the 300 answers to the survey question
The answer in-state out-of-state or foreign
The 300 students who were surveyed
The proportion of all students from this university who are in-state students
population
Statistic
Data
Variable
Sample
Parameter

Answers

Answer:

The correct matches are;

All students at the university → Population

The proportion of the 300 surveyed students who are in-state students → Statistic

The list of the 300 answers to the survey question → Data

The answer in-state out-of-state or foreign → Parameters

The 300 students who were surveyed → Sample

The proportion of all students from this university who are in-state → Variable

Step-by-step explanation:

1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university

2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic

The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample

3) Data are collected information which may be qualitative or quantitative variables

The answers collected in the survey are the data of the 300 surveyed student

4) A parameter is the value that is used as the means of measuring or classifying an item or system

5) A sample is a part or portion of a population, that serves as representative of the population

6) A variable is a quantity that can vary or cannot be said to be constant.

The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.

The vocabulary word when correctly matched to the corresponding example would give:

All students at the university

Population

The proportion of the 300 surveyed students who are in-state students

Parameters

The list of the 300 answers to the survey question

Data

The answer in-state out-of-state or foreign

Variable

The 300 students who were surveyed

Sample

The proportion of all students from this university who are in-state students  population

Statistic

Read more about statistics here:

https://brainly.com/question/12150562

What is the area of a circle with equation (x+2)2+(y-4)2=36?

Answers

Answer:

X+Y=20

Step-by-step explanation:

(x+2)2+(y-4)2=36

2x+4+2y-8=36

2x+2y=36+4

X+Y=20

Final answer

X+Y=20

is 45.213623 rational or irrational

Answers

If that is the whole number and there aren’t any more after the 3 then it is rational due to the fact that the number stops. If it keeps going then it is an irrational because it keeps going forever

Answer:

Rational

Step-by-step explanation:

WILL MARK BRAINIEST IF RIGHT
(AMC8, 2008) In square ABCE, A F = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
A. 1/6 B. 2/9 C. 5/18 D. 1/3 E. 7/20

Answers

Answer:

The answer is A

Answer:

C

Step-by-step explanation:

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