For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form. 8 6 5 183 4 3 2 1 3 -3 - 3 -10 -98 lo S 910 f(x), red line: g(x), blue line: m= h(x), green line: m = Check Answer Next Question Question 6 of 8 POWER ? XKNEWTON ! Turn it in Save & Close O E e​

For Each Linear Function Graphed On The Coordinate Grid, Enter The Value Of M And The Value Of B. Give

Answers

Answer 1

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.


Related Questions

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?

Answers

Answer:

25

Step-by-step explanation:

Find the equation of the straight line line passing through the point ( 0 , 1 ) which is perpendicular to the line y = -2x + 2

Answers

Step-by-step explanation:

y=-2x+2

hence the gradient is -2

gradient of perpendicular line

m1m2=-1

-2m2=-1

2m2=1

m2=1/2

so equation when m=1/2

m(x-x1)=y-y1

0.5(x-0)=y-1

0.5x-0=y-1

0.5x+1=y hence this is the equation

(4k^4)(-3k)^3

My math teacher gave me this and I don’t know what to do

Answers

Answer:

-12k^7

Step-by-step explanation:

Multiply coefficients, then add the exponents

Answer:

-1.03277491 × 10-158 m14 kg7 s-14 K-7

Step-by-step explanation:

here

HELP PLEASE NEED IT ASAP ​

Answers

x = 4, x = -2 I’m guessing

Answer:

x=-4 x=2

Step-by-step explanation:

BRAINLIEST PLS



A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit

Answers

Answer:

-13??? weird question... do you mean celcius themometer?

Step-by-step explanation:

Answer:

The integer that represents 13 degrees below 0 is -13°F.

Step-by-step explanation:

This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.

P.S.

This question was asked by somebody else and I answered already so I am not copying the answer!

Hope this helps! :)

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?

Answers

As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.

Answer:

we conclude that the segment AB was dilated by scale factor 3.

Step-by-step explanation:

From the diagram, it is clear that the original points A and B are located

at (0, 2) and (2, 3) respectively.

i.e.

A(0, 2)B(2, 3)

As the coordinates of the dilated segment A'B' are given as:

A'(0, 6)B'(6, 9)

A scale factor is basically a number that multiplies an object or quantity.

For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.

If the equation were y = 7x, then the factor would have been 5.

As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).

i.e.

A(0, 2)  → (0×3, 2×3) = A'(0, 6)

B(2, 3) → (2×3, 3×3) = B'(6, 9)

Therefore, we conclude that the segment AB was dilated by scale factor 3.

Answer:

Segment AB was dilated by scale factor 3.

Step-by-step explanation:

The person above is correct tahnk you!!!


A particle moves so that its position vector with respect to the origin of a reference frame Oxyz is r(t)=bcos w t+bsin w t+vt k,where i,j and k are unit vectors parallel to the co-ordinates axes Ox,Oy and b&V are positive constants.
(i)Find the velocity and speed of the particle
(ii)Describe the path moved by the particle
(iii)Find the acceleration of the particle

Answers

(i) Velocity is the rate of change of position, so if

r(t) = b cos(ω t ) i + b sin(ω t ) j + v t k

then

v(t) = dr/dt

v(t) = -b ω sin(ω t ) i + b ω cos(ω t ) j + v k

The speed of the particle is the magnitude of the velocity, given by

|| v(t) || = √[(-b ω sin(ω t ))² + (b ω cos(ω t ))² + v ²]

… = √[b ²ω ² + v ²]

(ii) The path is a helix. Suppose you zero out the k component. Then the path is a circle of radius b, and the value of ω determines how quickly a particle on the path traverses the circle. Now if you reintroduce the k component, the value of v will determine how far from the plane z = 0 the particle moves in a helical path as t varies.

(iii) Acceleration is the rate of change of velocity, so

a(t) = dv/dt

a(t) = -b ω ² cos(ω t ) i - b ω ² sin(ω t ) j

Helppp please I need help ASAP!!!!!

Answers

Answer:

D

Step-by-step explanation:

The answer is D because the 45 would represent his songs, and 180 would represent the total.

Mr. Smith writes the following problem on the board,
1/4 + 3
Which statement about Mr. Smith s problem is true?
The answer to Mr. Smith s problem is less than 1
The answer to Mr. Smith s problem is between 1 and 2
The answer to Mr. Smith 5 problem is between 2 and 3.
O The answer to Mr. Smith s problem is between 3 and 4.​

Answers

Answer:

It is the last one where the answer is between 3 and 4

Step-by-step explanation:

go0oddddddddddddddddddddddddddddddddddddddddddddddddddddd

Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL​

Answers

No picture given for this problem. Repost.

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used

Answers

Answer:

a) $141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b) $244.4

Step-by-step explanation:

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.

Required:

a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.

If a customer uses 330 minutes, the monthly cost will be $141.5.

y = mx + b

$141.5 = 330m + b

If the customer uses 890 minutes, the monthly cost will be $337.5.

$337.5 = 890m + b

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

b. Use your equation to find the total monthly cost if 624 minutes are used

Combining the equations

$141.5 = 330m + b...... Equation 1

$337.5 = 890m + b..... Equation 2

We Subtract Equation 2 from 1

-196 = -560m

m = -196/-560

m = 0.35

$337.5 = 890m + b..... Equation 2

$337.5 = 890 × 0.35 + b

$337.5 - 311.5 = b

b = 26

When x = 624

y = 624× m + b

m = 0.35 , b = 26

y = 624 × 0.35 + 26

y = 218.4 + 26

y = $ 244.4

Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?

Answers

Answer:

448 miles

Step-by-step explanation:

Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.

15 gallons x 32 miles = 480 miles

However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.

15 gallons - 1 gallon = 14 gallons

Now, let's compute again.

14 gallons x 32 miles = 448 miles

Amy can drive 448 miles before she needs to fill up the tank again.

Factor out the coefficient of the variable 2/3j - 2/9

Answers

answer: hey lol*sharts loudly*

Step-by-step explanation:

you just need to use the bathroom next time;))))

In a study of 300 students under 25 years old, 21 have not yet learned to drive. What percentage can drive

Answers

Answer:

7%

Step-by-step explanation:

300/21 is 0.07, and 0.07 in percent form is 7%

7% is the answer. you just divide 300/21 and it give you 0.07 which is 7%

Simplify the expression. 55−4x5+12

Answers

Answer:

First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.

Answer: 62.5

Step-by-step explanation:

Hope this helps!

:)

Hey pls help me in this thanks a lot

Answers

Answer:

m= -13-q+15h, h€R, q€R

Find the missing angle.
200
180
A
100
B
50
SO
D) 70

Answers

Answer:

the answer is c) 80

all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80

Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay

Answers

Answer:

57.375

Step-by-step explanation:

Multiply then move the decimal

Answer:

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it helpsssssss :)

sssssssssssssss

Please help I’ll mark brainliest if u give a small explanation

Answers

the answer is 4 because the bottom and line DE form a right angle

Charlie T. Mole ate 16 insects. Anabel H. Mole ate 26
insects. How many more insects did Anabel eat

Answers

Answer:

10

Step-by-step explanation:

this is easy... subtraction

A concession stand sell hot dogs and hamburgers. At a football game, 84 hot dogs and 36 hamburgers were sold for $276. At another football game, 60 hotdogs and 18 hamburgers were sold for $174. Wrote a system of equations to represent this situation. Then solve the system of equations.

Answers

Answer:

84x + 36y =$276

60x + 18y =$174

then solve

Step-by-step explanation:

x- hot dogs, y- hamburgers

1st football game- 84x + 36y =$276

2nd football game- 60x + 18y =$174

Suppose the price of one item was $12, and the price of another item was $20. What would figuring out a common multiple of 12 and 20 tell you?

Answers

Answer:

hi

Step-by-step explanation:

I think the answer is a number

Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

What is a factor?

A factor is a number that divides another number, leaving no remainder

We have,

Cost of one-item = $12

Cost of another-item = $20

We can find out some common multiple of both the numbers 12 and 20.

12 x 1 = 12       20 x 1 = 20

12 x 2 = 24     20 x 2 = 40

12 x 3 = 36     20 x 3 - 60

12 x 4 = 48     20 x 4 = 80

12 x 5 = 60    20 x 5 = 100

12 x 7 = 84    20 x 6 = 120

12 x 8 = 96

12 x 9 = 108
12 x 10 = 120

We see that we have two common multiples from the above multiples.

i,e 60 and 120

Now,

The factor in the multiples are:

12 x 5 = 60

12 x 10 = 120

20 x 3 = 60

20 x 6 = 120

This means that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

Thus,

Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,

The cost of 5 one-item is equal to the cost of 3 another-item.

The cost of 10 one-item is equal to the cost of 6 another-item.

Learn more about factors here:

https://brainly.com/question/26941030

#SPJ2

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Answers

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

a tv costs 800 plus vat at 20% what is the total cost of the tv

Answers

960. 960. 960. 960. 960. 960.

A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?

Answers

Answer:

$2.25 per movie

Step-by-step explanation:

3(4)= $12

$12-$3= $9

$9/4= $2.25

$2.25 per movie hope this helps

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Answers

Answer:

what is it asking

Step-by-step explanation:

Which of the following describes the following graph?

A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation

Answers

The answer is A for the correct answer

Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11

Answers

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

[tex] y - y_1 = m(x - x_1) [/tex]

Where,

[tex] x_1 = 5, y_1 = -1 [/tex]

m = ⅗.

Plug in the values

[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3x}{5} - 3 [/tex]

Subtract 1 from both sides

[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]

[tex] y = \frac{3x}{5} - 4 [/tex]

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]

[tex] y = 2 [/tex]

✔️When x = 15:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]

[tex] y = 5 [/tex]

✔️When x = 20:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]

[tex] y = 8 [/tex]

Answer:

2,5,8

Step-by-step explanation:

Write an inequality for the graph below.
please help !!

Answers

Answer:

(1,5) and (2,1)

Step-by-step explanation:

we can count the graph which has given in red circle

Find the gradient of the function g(x,y)= xy at the point (5. - 1). Then sketch the gradient together with the level curve that passes through the point First find the gradient vector at (5. - 1). Vg(5. - 1)-01- i (Simplify your answers.) Choose the graph that shows the level curve and the gradient vector at (5. - 1). OD ОА.

Answers

This question is incomplete, the complete question is;

Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.

First find the gradient vector at (5, - 1).

Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)

Choose the graph that shows the level curve and the gradient vector at (5, - 1).

options of the sketched graphs are uploaded along this answers

Answer:

Vg(5,- 1) = [ 1 ]i - [ 10 ]j

Option A is the correct graph for this Level

Step-by-step explanation:

Given that;

g(x,y) = xy²

we have to find gradient of this function at ( 5, -1 )

so

Δg(x,y) = dg/dx + dg/dy

d(g)/dx = y² ,       dg/dy = 2gx

therefore

Δg(x,y) = [y²]i + [2yx]j

Δ( 5, -1) = [-1²]i + [2×-1 ×5]j

=Δ(5, -1) = 1i - 10j

[ 1 ]i - [ 10 ]j

Therefore Option A is the correct graph for this Level

Other Questions
4. Density is a property of all matter.TrueFalseNeither true or false due to lack of information Relate pH values of 9.1, 1.2, and 5.7 to hydronium and hydroxyl ion concentration. 421.2 - 305.8Using mental math Question 167 pts16. The ratio of the number of girls to the number ofboys in art in 7 to 4. There are 60 boys in art. Howmany girls are in art? (6.4B) Explain Hamlet's family tree. Include Hamlet, Queen Gertrude, King Hamlet, and King Claudius. You may draw it, but make sure I am able to understand their current relationships. What does Shakespeare reveal about how Juliet feels about Romeo leaving snd coming back multiple times ALL of the colonies sent delegates to the Constitutional ConventionQuestion 1 options: True False Igneous rock that formed when magma hardened beneath Earth'ssurface. If 150 G of wood started Burning, and 30 G of wood ash was left behind, how many grams of CO2 to gas was released If given the following AP what is the common difference 10, 15, 20 A rug has a length to width ratio of 5:3 and the area of the rug is 135 sq. ft. What are the dimensions of the rug? A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar. Which situation provides the best evidence that a chemical reaction is taking place? Find all angles between 0 and 2pi satisfying the condition cosx=-1/2 A helium balloon in a closed car occupies a volume of 1.32 L at 30.0C. If the car is parked on a hot day and the volume of the balloon increases to 2.50 L what is the temperature in the car, assuming the pressure remains constant? Does anyone know the answer to this? "An Italian kept a fruit-standon a corner where he hadgood aim at the people whocame down from the elevatedstation, and at those whowent along two throngedstreets."A. expositionB. rising actionC. falling action Punctuate the following sentence correctly using commas, semicolons, or colons.The Diary of Anne Frank is an interesting book yet is very sad.A .The Diary of Anne Frank, is an interesting book yet is very sad.B. The Diary of Anne Frank is an interesting book, yet is very sad.C .The Diary, of Anne Frank is an interesting book yet is very sad.D. The Diary of Anne Frank is an interesting book; yet is very sad. An appeal of a trial court ruling can next be made to:A. a state supreme court.hingB.a U.S. Court of Appeals.C.a state appellate court. What was the central purpose of Benjamin Franklin's proposal?1.to improve relations with England and other European countries2.to persuade towns to build enough schools to educate all students3.to suggest how an American public school system should work4.to explain how schools can improve the American economy