Write an equation for the function that includes the points ( 1, 4/5) and ( 2, 2/3).

Answers

Answer 1

Answer:

f(x) = -2/15x + 14/15

Step-by-step explanation:

Slope = (2/3 - 4/5)/(2 - 1)

= (10/15 - 12/15) = -2/15

Plug in a known point (into y=mx+b) to find y-intercept:

4/5 = -2/15(1) + b

12/15 = -2/15 + b

b = 14/15

Formulate:

f(x) = -2/15x + 14/15


Related Questions

Hi. can I send a screenshot?​

Answers

        anwer             yess? go ahead

Answer:

Yes you can

Step-by-step explanation:

You just send it through the paperclip when you write a response or make a question

Please help I'll give brainliest! And 100 points this is due tonight!!!

Answers

Answer:

You can try searching it up or going to math.way

Step-by-step explanation:

Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)

Answers

Answer:

(-1.875, -1.625)

Step-by-step explanation:

We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)

Remember that the distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

First we can write our equation as a line in the slope intercept form:

y = -(2/6)*x - 1

Now we could minimize the equation:

D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)

D = √(  ( x + 5)^2 + (  -(2/6)*x - 1 + 3) ^2)

Then we can minimize:

D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2

       = x^2 + 10*x + 25  + (4/36)*x^2  - (8/6)*x + 4

       =  (1 + 4/36)*x^2 + (10 - 8/6)*x + 29

        = (40/36)*x^2 + (52/6)*x + 29

This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.

The vertex is at the x-value such that (D^2)' = 0

Then:

(D^2)' = 2*(40/36)*x + (52/6)

This needs to be zero then:

0 = 2*(40/36)*x + (52/6)

-52/6 = (80/36)*x

(-52/6)*(36/80) = x

-1.875 = x

And the y-value when x = -1.875 is:

y = -(2/6)*-1.875 - 1

y = -1.625

Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)

1. Solve. Draw a rectangular fraction to explain your thinking. Then, write a number sentence.

1/3 of 3/7


2. In a cookie jar, 1/4 of the cookies are chocolate chip, and 1/2 of the rest of the are peanut butter?

Answers

9514 1404 393

Answer:

  1. 1/3 × 3/7 = 1/7

  2. 1/2×(1 -1/4) = 3/8

Step-by-step explanation:

Attached is my attempt at the required drawings. Yours may be different, based on the methods used by your teacher.

answer this pls !!!!?!?!??!

Answers

Answer:

A

Step-by-step explanation:

9. What is the 12th term of the sequence 3, 6, 12, 24...? (1 points
O2,048
O 3,072
O 6,144
O 12,288

Answers

Answer:

each number plus itself so it will be 06,144

Should be the second one. Each number is multiplied by 2 in the pattern and then the answer is multiplied by two and so on and so forth

please help me please brainliest

Answers

Answer:19

Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.

Find the following F distribution values from Table 4 of Appendix B.

Answers

No table?????????????

Which ordered pair is a solution to the equation y = 5x + 2?

A (-2, -8)
B (22, 4)
C (8, 40)
D (-5, 2)

Answers

I’m geussing the answer would be A because an ordered pair of that is (2,8) but the only difference is it’s negative so A hope this helps

You have two numbers. If you double the first number and add it to the second number, the sum is 10.

Let x represent the first number and let y represent the second number.

1) Write an equation showing the relationship between x, y, and 10.

Answers

Answer:

probably 2,5&10 because they are all multiples of 2

Which of the following is a solution to 10x^2-x=3?

Answers

Answer:

g

Step-by-step explanation:

A sphere has a volume of 36 pi in 3rd power. Find the radius of the sphere. Use 3.14 for pi. ​

Answers

Answer:

3 inches

Step-by-step explanation:

1. Volume of a sphere

V = 4/3πr^3

2. Plug in numbers

V = 36π

r = ?

36π = 4/3πr^3

27=r^3

[tex]r=\sqrt[3]{27}[/tex]

r = 3

Carlotta has 2/3 of a bag of dog food. She gives her dog 2/9 of the bag at each feeding. How many times can she feed her dog with what is left in this bag of dog food?

A. 3
B. 4
C. 18
D. 27​

Answers

Answer:

27

Step-by-step explanation:

Carlotta can feed 3 times her dog with leftover in this bag of dog food

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that Carlotta has 2/3 of a bag of dog food  and She gives her dog 2/9 of the bag at each feeding.

The bag of dog food = 2/3

Let she feed her dog with leftover in this bag of dog food = X

Therefore, X = 2/3 × 9/2

X = 18 / 6

X = 3

Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

Which value of x makes this equation true?
-8(x+5) = -3x - 7+ X-3
A. = 7 1/2
B. X=-5
c. X = 1 1/4
D. X= 12

Answers

Answer:

B: x = -5

Step-by-step explanation:

-8 (x+5) = -3x -7+x-3
-8x - 40 = - 2x - 10
-8x + 2x = -10 + 40
-6x = 30
x = 30/-6
x= -5

You need 25 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?​

Answers

Answer:

80 potatoes

Step-by-step explanation:

A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?​​

Answers

Answer:

Speed = distance / time

= 6/3 =2 ft/sec

Time = distance / speed

= 60/2

= 30 seconds

find the volume. round your answer to the nearest hundredth

Answers

Answer:

268.082 ft3 // rounded would be 268.10

Step-by-step explanation:

kennedy has 12 apple. togethe, she and Ariana have 42 apple. which diagram represents best represents the situation where A is the amount of apples that Ariana has?​

Answers

Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....

I need help with this

Answers

It’s the first one because it subtracts but adds then subtracts

What is a characteristic of people who live in a nation-state?​

Answers

Answer:

Ethnically diverse people loving in the same area

what two consecutive whole numbers that 12 lie between ​

Answers

Answer:
The answer should be 9 and 16.

Let me know if this is correct!

The order pair for the equation y =2x+3(-1----)

Answers

Answer:

Y=-1

Step-by-step explanation:

2(-1)+3=y

-2+3= -1

Nicole and all her co-workers wear blue

Answers

Answer:

that's a good color to wear

Step-by-step explanation:

:)

Oooookay? Where is the question? But swago

FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning

Answers

9514 1404 393

Answer:

  Chun is correct

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.

Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:

  top short : bottom short = top long : bottom long

  5 / 8 = 15 / x

__

Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...

  top short : bottom long = bottom short : top long

She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.

__

Chun's proportion correctly gives x=24.

Answer:

Step-by-step explanation:

Chun; by the Triangle Angle Bisector Theorem, the correct proportion is  58=15x.

It took Kai 9 hours to mow 6 lawns. If Kai worked at the same rate, how many lawns could he mow in 33 hours?

Answers

Answer:

so im not sure it can either be 33, 1.5 or 49.5

Step-by-step explanation:

Can someone help me with these questions and show work please and thank you

Answers

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

WILL GIVE BRAINLIEST!!! As part of an offseason training program, the Lane Tech cross county team must sprint up a ramp with a 28% grade. To the nearest degree, what angle does with ramp make with the ground?

Answers

Answer:

20%

Step-by-step explanation:

What is the lateral surface area?​

Answers

Answer:

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface

Step-by-step explanation:

Christy is painting pinwheels to sell at a fair. It takes her 1.5 hours to paint each pinwheel. How many pinwheels will she be able to paint in 13.5 hours?​

Answers

Answer: 9 hours

Step-by-step explanation:

13.5 hours / 1.5 hours = 9 hours

WILL GIVE BRAINLST

HAVE A GOOD DAY

Answers

Answer:

6.633249581 and I would say it's irrational

Step-by-step explanation:

:)

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