A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

A Line Passes Through The Points (0,3), (4,1) And (6,0). Which Function Best Represents The Relationship

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

y = mx + b

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + 3


Related Questions

Suppose y varies directly as x. If y = 150 when x = 3, find y when x = 5.

Answers

Just set the two ratios as proportional to each other, then use cross multiplication.

What is the equation of the line that passes through (-2, 92) and has a slope of −33/2 ?
A.) 33x + 2y = 75
B.) 33x + 2y = -24
C.) 33x + 2y = -57
D.) 35x + 2y = -75

Answers

The answer for the following is B

Anyone mind helping me. Correctly

Answers

Answer:

-6

Step-by-step explanation:

By looking at the graph, you can see that the graph intersects the x-axis at (-6,0), that is the zero of g.

Answer:

-9

Step-by-step explanation:

The graph's y-intercept is -9, which is the zero of g.

6. The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C. a. 41 degrees b. 98 degrees c. 82 degrees d. 139 degrees Answer:​

Answers

Answer:

well, if we want to know the measure angle c. we need to know the other angles measures. We know that c. is 57 more than a. and b.  

So, if the triangle is 180 degrees in total, than we need to subtract 57 frm 180 to get 123. Now we divide that by 2 because that is what the other 2 angles will measure. 123 divides by 2 is 61.5.

now we subtract 61.5 from 180 to get 118.5

now to subtract 61.5 again because the 2 angles are the same measure. 118.5-61.5 is 57. so it cant be any of the answers you provided if angle a and b are the same

Step-by-step explanation:

plz mark brainliest!

What is the value of x in this equation? 2x + 2 = -46

Answers

Answer:

x = -24

Step-by-step explanation:

1. Subtract 2 from -46 to cancel out the addition. 2x = -48

2. Divide both sides by 2. x = -24

A cab company charges $2.75 per mile, plus an extra surcharge. Bernardo took a cab to the
airport, which was 8 miles from his home. His total fare came to $29.50. Let x represent the
number of miles and y represent the total cost of the cab ride.
a. What is the slope-intercept equation of the line that fits this information?
b. If a customer paid $35, how many miles did they travel in the cab?

Answers

Answer:

a) $7.50

b) 10 miles

Step-by-step explanation:

a)

y=mx+b

y=$29.50

x=8

m=$2.75

b=unknown

29.50=2.75(8)+b

29.50-22=22-22+b

7.50=b

Check:

2.75(8)+7.50=29.50

b)

y=$35

x=unknown

m=2.75

b=7.50

35-7.50=2.75x+7.50-7.50

27.5/2.75=2.75/2.75x

10=x

2) Compare the following functions to determine which has the greater rate of change. Function 1: y = 2x + 6 Function 2: 0 4 -2 2 Y ] == a​

Answers

You did not clearly mention the second function. So, I am assuming you meant to say that the second function has the table values such as:

x           y

0           4

-2          2

So, I am solving the question based on this information table of the 2nd function, which anyways will clear your concept.

Answer:

We conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.

Step-by-step explanation:

Given the function 1

[tex]y = 2x + 6[/tex]

Comparing the function with the slope-intercept form of the line equation of a linear function

[tex]y=mx+b[/tex]

where m is the rate of change or slope of the line

so

[tex]y = 2x + 6[/tex]

rate of change = m = 2

Now, given the function 2

x           y

0           4

-2          2

Taking the slope of the two points in the table

(0 4), (-2, 2)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(-2,\:2\right)[/tex]

[tex]m=\frac{2-4}{-2-0}[/tex]

[tex]m=1[/tex]

So, the rate of change or slope of the function 2 is: m = 1

Hence, we observe that:

Rate of change of function 1 = m = 2Rate of change of function 2 = m = 1

As the rate of change of a function '1' is greater than the rate of change of function 2.

i.e.

m = 2 > m = 1

Therefore, we conclude that the rate of change of a function '1' is greater than the rate of change of function '2'.

Peter buys 12 bunches of bananas for $9.00. Use a ratio table to determine how much Peter will pay for 8 bunches.

Answers

first of all why he buying so many second of all the answer is $6

A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. How many flavors have chocolate and how many don’t?

Answers

Answer: 10 with chocolate, 30 without chocolate.. I think

Answer:

30 with chocolate, 10 without chocolate

Step-by-step explanation:

A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.

Answers

Answer:

39=6t+3f+e

39=19f+1

5 touchdowns, 3 extra points, and 2 field goals.

Step-by-step explanation:

e=f+1

6t=15f

39= 6t   +3f   +e

       ^       ^      ^

39=(15f)+(3f)+(f+1)           |             e=f+1                     |                      6t=15f

39=19f+1                         |             e=2+1                    |                      6t=15(2)

38=19f                            |             e=3                        |                      6t=30

f=2                                  |                                            |                      t=5

1. COORDINATE GEOMETRY Classily AABC with vertices A-2, -1), B(-1,3), and C(2,0) as scalene, equilateral or isosceles. ​

Answers

Answer:

I'm pretty sure its a equilateral

Step-by-step explanation:

I graphed it

Show that x + y : x - y= 3 : 2

Answers

Answer:

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.

Step-by-step explanation:

Given

x + y : x - y = 3 : 2

As

[tex]x + y = 3[/tex]

[tex]x - y = 2[/tex]

Solving to find x and y

[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=3}[/tex]

[tex]-2y=-1[/tex]

[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]

solve for y

[tex]-2y=-1[/tex]

Divide both sides by 2

[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]

[tex]y=\frac{1}{2}[/tex]

[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]

[tex]x+\frac{1}{2}=3[/tex]

[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]

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

so

[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]

Thus,

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.

Hey luvs I NEED HELP ON THIS

Answers

Answer:

F. Outta. Here

Step-by-step explanation:

Answer:

a. 260m

b. 50m

Step-by-step explanation:

First, triangle POQ and triangle PNR are similar triangles, b/c they have one same angle(OQP), and OQ//NR.

Therefore, OP/OQ = NP/NR.

NP = OP + ON = 175 + 175 = 350

(a) 175/130 = 350 /NR, NR = 260

(b) 175/ (X+10) = 350/ (3X+5) , x = 15, NR = 50

Need help. Forgot how to do this type

Answers

Answer:

AB=707

Step-by-step explanation:

please help asap, will give brainiest. TY! :3

Answers

Answer:

Page 1::1 & 3 & 4

Page 2:6

Page 3:8/1

Page 4:15 3/4

Step-by-step explanation:

HOPE THIS HELPS!!

A football team needs to move the ball at least 10 yards forward from the original starting point in order to get a first down. Angel runs for 6 yards on the first play. On the second play, he is sacked for −9 yards. At least how many yards does his team need on the third play to get a first down?

Answers

Answer:

13 yards

Step-by-step explanation:

Required distance moved from original position should be ≥ 10 yards in other to get a first down.

Run on first play = 6 yards

Second play = - 9yards

The least number of yards needed on third play :

Let yard needed on third play = x

First play + second play + third play = 10

6 + (-9) + x = 10

6 - 9 + x = 10

-3 + x = 10

x = 10 + 3

x = 13 yards

At least 13 yards is needed on third playbto get a first down.

7y + 8y can be simplified to 15y true or false

Answers

Answer:

True

Step-by-step explanation:

7y and 8y are like terms, so you can add them together

True.

How? By combining like terms.

7y + 8y = what?

We keep the variable y and simply add the numbers.

7 + 8 = 15

We now include y in our answer.

So, 7y + 8y = 15y.

PLEASE HELP I NEED THIS TODAY!!​

Answers

Answer: 201.06

Step-by-step explanation: The formula is pi times the radius squared.

Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75

Answers

Answer:

D

Step-by-step explanation:

let the number of songs Byron have be s songs.

s + 26 = 75

Answer:

D

Step-by-step explanation:

s= number of songs played.

s+26=75

s-26=75-26

s=49

I bought 24 donuts for 44dhs how much does each donuts cost?? 24 divided by 44 =

Answers

The answer is .5 hope this helps lol

Answer:

54 cents

Step-by-step explanation:

The best way to solve this is by writing this as a fraction...

24/44

Next, we should divide both sides by their GCF (Greatest Common Factor) Which in this case is 4.

Now, our fraction is...

6/11

So, our final answer is 6/11 or 0.54 repeating or 54 cents

Hope this Helps!!! :)

Let me know in the comment section if I should change anything or if this answer was perfect!!!

In the video game Digging Up Dinos, players gain and lose points while digging for dinosaur
bones. In Level 1, Emmet earned 14 points for finding the foot bone of a dinosaur. Then, he
lost 17 points for accidentally stepping on and breaking the bone.
What was Emmet's score at the end of Level 1?

Answers

Negative 3 because Emmet had 14 points, then lost 17 points, landing him with the score of -3
-3 is the answer



Akisoahzoabsobspabdpsbsodnpabd

work out
a. 5 x 1/8

b.1/7 x 6


plzz help ​

Answers

Answer:

Step-by-step explanation:

5 * 1/8=  5/8

1/7*6=  6/7

Place the whole number over 1 and multiply.

can some one please help me

Answers

Answer: Number one is C I believe

Step-by-step explanation: 4x - 5 =7

4x -5 + 5=7+5

     4x=12

4x-4=12 divided by 4

         x= 3

Answer:

A and D

Step-by-step explanation:

When you have an equation that has an x on one side with other things you do the opposite of the thing on the same side as the x. You would add 5 to 17 then you would divide by 4 to seperate the four from the x.

In functions one input has only one output. Since 3 has two outputs it is not a function.

what is the equation of the line in slope intercept form

Answers

Answer:

y=-3/2+1

Step-by-step explanation:

Six times the sum of a number
and two is 30. Find the number

Answers

3 because 3 + 2= 5 n 5*6=30

Answer:

x=5

Step-by-step explanation:

6(5)= 30

The normal to the curve y =root x, at the point where x=1 and x=4 meet at P, find the coordinates of P.

Answers

The curve is y = sqrt{x}.

Replace x in the curve with 1 and then with 4 to find your point.

y = sqrt{1}

y = 1

First point (1, 1).

y = sqrt{4}

y = 2

Second point (4, 2).

Take it from here.

Please help with this question, thank you so much.

Answers

The answer is 175m because it stays the same all the way

If c=48y+.99n what is y?

Answers

Y can be anything because the answer can be anything too! And if you have the subject name pls tell me maybe it’s something else so that I can help
I think you have to subtract 99-48 and then you divided by 2, and then you get 25.5 as your answer. Correct me if I’m wrong, but I believe that’s the answer :)

Jamal drew the function below. Which explains whether or not his function is linear?

On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (1.5, 0).

Answers

Answer:

"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore

Answer:

it is linear because it has a constant rate of change

Step-by-step explanation:

Find the value of x for which m parallel n 3x - 38 and 2x + 24

Answers

Answer:

35x

26x

Step-by-step explanation:

it help to understand..:)

Other Questions
what is the theme for "that could have been you" by jim heynen 2. What fluvial landform is A? In order for convection to transfer heat, particles need to absorb solar and fossil energy circulate and move within a liquid or gas make contact with the heat source transmit electromagnetic waves What was the unconditioned stimulus (UCS) in the case of Little Albert? A high chair A rat A loud noise A small enclosed space A dog Kinetic energy is the energy an object has due to its ClassesEvaluate the expression below if m= -7 and n = 2*4\m - nlYour answerEvaluate the expression below if c = -1 and d = -4*5c2 d? + 32c - 4dYour answer article isnt everyone a little bit weird please help i need and reflection Which practice was typical of Robert Frost?using experimental techniquesusing traditional formswriting in formal languagewriting in free verse how do you identify the development of society? write in a sentence. Over the last few decades, East Asian economies have increased their share of world GDP. Similarly, intra-East Asian tradethat is, trade among East Asian nationshas grown as a share of world trade. More than that, East Asian countries do an increasing share of their trade with each other. Using the gravity model, explain why East Asian countries do an increasing share of their trade with each other. A. Since the GDP of East Asian countries has grown, the product of any two East Asian countries' GDP is now larger. And as the gravity model predicts, the trade volume between them has grown. B. The GDP of some East Asian countries has grown faster than others; therefore, the difference in GDP between some East Asian countries is now larger. And as the gravity model predicts, exports from richer countries to poorer countries have increased. C. Since the GDP of East Asian countries has grown, the ratio of any two East Asian countries' GDP is now larger. And as the gravity model predicts, the trade volume between them has grown. D. The GDP of some East Asian countries has grown faster than others; therefore, the difference in GDP between some East Asian countries is now larger. And as the gravity model predicts, exports from poorer countries to richer countries have increased. What are two cases when a cell must use active transport in order to move materials? State the career function of computer engineering which series lists the structural components of the light-dependents reactions in order, from smallest to largest Alexis is 9 years old. Mariah is 7 years older than Alexis. Jake is 3 years younger than Mariah. What is the ratio of Alexiss age to Jakes age?ITS EXPLAINING RATIOS! Plzzz answer thank you :)) yo, i need help. 25 points and brainliest. :| A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have? 12.5 mL of 6.0 M KCl is diluted to make a 1.5 L solution. The molarity of the dilution solution is ___ M. (Round atomic masses to the nearest whole number. Include 2 sig figs total in your answer.) I need help with this slope proplems (50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.) 16. What is P(red, yellow, blue)? 17. What is P(orange, yellow)? 18. P(green, blue, purple)? 19. P(pink)? 20. P(red, orange, yellow, green, blue, purple)? Thank you!!