Write a linear function f with the values f(−1)=8 and f(5)=6.

A function is f(x)=

Answers

Answer 1

9514 1404 393

Answer:

  f(x) = -1/3x +23/3

Step-by-step explanation:

You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:

  f(x) = -1/3x +23/3

__

Approaching this in the usual way, we recognize we have points ...

  (-1, 8) and (5, 6)

The slope of the line through those points is ...

  m = (y2 -y1)/(x2 -x1)

  m = (6 -8)/(5 -(-1)) = -2/6 = -1/3

Then the point-slope equation of the line is ...

  y - 8 = -1/3(x +1)

Adding 8 gives us a form we can use for a function definition:

  f(x) = -1/3(x +1) +8

  f(x) = -1/3x +7 2/3

Write A Linear Function F With The Values F(1)=8 And F(5)=6.A Function Is F(x)=

Related Questions


Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)

Answers

Answer:

Richard is twenty-six and Teo is ten.

Step-by-step explanation:

Let x = Richard's age and y = Teo's age

x = 2y + 6

(2y + 6) + y = 36

3y + 6 = 36

-6            -6

3y = 30

y = 10

x = 2(10) + 6

x = 20 + 6

x = 26

Richard is 26

Teo is 10

HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.​​

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Hope this helps

Have a great and blessed day :)

() What is 4 divided by 9?

Answers

4/9 = 0.444444444444444

Answer:

9

Step-by-step explanation:

Which expression is equivalent to the given expression?
5x – 2

A2 – 5x
B 2x – 2 + 3x
C 3 – 5 + 2x
D 5x — 2х

Answers

Answer:

I DON'T KNOW WHERE YOu belong because im in philippines

I choose answer B: 2x-2+3x

708 Х 34

I have to Estimate I need help please I don't like math

Answers

Answer:

708 times 34 = 24,072

estimated = 710 times 30 = 21,300

Step-by-step explanation:

hope this helped!

mark me brainliest :D

Answer:

Estimate: 21,000 or 21,300 (the answer depends on what your teacher is looking for. you didnt give a lot of information so i apologise if its wrong)

Exact: 24,072

Step-by-step explanation:

Estimate -

700 x 30 = 21,000

or

710 x 30 = 21,300

Exact -

708 x 34 = 24,072

Hope this helps!! :)

Solve the Quadratic

Solve for x. Write in simplified radical form.

2x^2 + 3x – 20 = 0

Solution 1:
Solution 2:

Answers

~quadratic equation

======================

2x² + 3x - 20 = 0

= a + b = 3

= ab = 2(-20) = -40

= a = -5

= b = 8

= (2x² - 5x) + (8x - 20)

= x(2x - 5) + 4(2x - 5)

= (2x - 5) (x + 4)

= Solution 1 : x = 5/2 ✔️

Solution 2 : x = -4 ✔️

~ nice to help you ^^

[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]

help plz
find the size of unknown angle in the flowing figures ​

Answers

Answer:

it is 95 degrees because it is a vertically opposite angle

plzz help me asap plzzzz

Answers

Answer:

1.-13.2

2.6485

Step-by-step explanation:

Please Help!!! I will try to give brainliest!!!

Answers

Answer:

I'm really sorry, but I only know that d=8

Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?

Answers

Answer:

5%

Step-by-step explanation:

First let's find the interest,

$ 115.50 - $ 110

= $ 5.5

Now let's use this formula to find the simple percent interest.

Simple interest =  P × r × t / 100

Here,

P = Principle

r = rate

t = time

Let us find now.

[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]

Therefore, the percentage is 5%

Hope this helps you.

Let me know if you have any other questions :-)

A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?

Answers

Answer: just simply add them and you get 11000

Solve for the missing variable thank you!

Answers

The answer is 58 degrees

What is the value of y in y = 2x - 5, when x = 3.9?

Answers

Answer:

Y = -3 and with x as 3.9 y equals 2.8

Step-by-step explanation:

Help please
i need help on this question

Answers

9514 1404 393

Answer:

  A: range

  B: 0 ≤ f(x) ≤ 6

Step-by-step explanation:

Part A

As is often the case in multiple-part multiple-choice questions, the answer to the first part is found in the second part. The "range" is the set of all possible output values.

__

Part B

The range is the vertical extent of the graph. This graph goes from a minimum of 0 to a maximum of 6 and includes every value in between. The range is ...

  0 ≤ f(x) ≤ 6

_____

Additional comment

You should discuss this question with your teacher. The left inequality symbol on the bottom line is pointed the wrong way.

to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20 ​

Answers

Answer:

xy

Step-by-step explanation:

Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.

Answers

answer:

1

Step-by-step explanation:

#'s between zero and two = one

the only number between 0 and two is 1

x = 1  y = 1  z = 1

the average value of the sum of the squares of x, y and z = 1

1, 1, 1

the average is 1

Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.

Answers

Answer:

Asymptotes: x = -3, x = 3, y = 0

Step-by-step explanation:

Given function:

f(x) = 3x / (x² - 9)

Zero of the function:

f(x) = 03x / (x² - 9) = 0x = 0, x ≠ -3; 3

Vertical asymptotes:

x² - 9 = 0x² = 9x = √9x = -3; x = 3

Horizontal asymptotes:

The horizontal asymptote is y = 0, since the degree of the numerator is 1, while the degree of the denominator is 2.

The graph with asymptotes and zero is attached

Warm-Up
Abena invited 40 people to a party.
How many came if 25% of those invited didn't come?

Answers

Answer: 30

Step-by-step explanation:

25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.

40 - 10 = 30

30 people came

The number of people attend the party is 30.

Given that, Abena invited 40 people to a party.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 25% of 40

= 25/100 × 40

= 0.25 × 40

= 10

Number of people didn't come = 10

So, number of people came = 40-10=30

Therefore, the number of people attend the party is 30.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

I Need help asap PLS HURRY

Answers

(-2):()=4+10

️️️️️
You substitute -2 into
️️️️️makes it 4(-2) + 10
Which would be ️️️️️️to -8+10
️️️️️️= 2

-
3-(2n + 5)
3 + (2n + 5)-1

Answers

Answer:

I think it's 3n+7

                 -------

                 3n+8

Step-by-step explanation:

1) Ella is making crepes for brunch guests. The number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served. Which statements are correct for this situation? ​

Answers

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

What is equation modelling? What is a mathematical equation and expression? 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.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

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A driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?

Answers

Answer:

75 miles

Step-by-step explanation:

We know that she has driven 120 miles before the first stop.

Then she drives for 1/4 of the the distance she has already driven (120 miles). One fourth of 120 is 30.

So now, she's driven for 120 + 30 miles, or 150 miles.

She drives for another 2/3 of the distance she's traveled (150 miles). Two thirds of 150 is 100.

So now, she's driven for 150 + 100 miles, or 250 miles.

What we need to find out now is how much of the trip has she traveled.

We know that the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. So, in other words, the distance she has traveled minus 55 is equal to 1 2/3 of the trip.

To put this in an equation:

250 - 55 = 1 2/3t

t = the whole trip

Now, we solve for t.

250 - 55 = 195

1 2/3 = 5/3

so, 195 = 5/3t

t = 325

We subtract what she has already driven to the total to get the remaining distance.

325 - 250 = 75

3. Your bedroom is 14 feet by 10 feet and your sister's room is 12 feet by 10 feet. If you
are going to paint both rooms the same color and the paint covers 250 square feet per
gallon, how much paint will you need if you are going to paint the walls and ceilings?
Assume the ceiling is 8 ft high.

Answers

Step-by-step explanation:

we paint the walls and ceilings.

and we ignore any doors or windows (no information about them).

so, each room has then 5 rectangles : 4 walls and 1 ceiling.

when we say a room is 14 ft × 10 ft, this also means there are 2 sides of 14 ft and 2 sides of 10 ft.

and the area is 14×10 ft².

the area of the ceiling is the same as the area of the floor : 14×10 = 140 ft²

for the walls we have 2 rectangles of 14×8 = 112 ft², and 2 rectangles of 10×8 = 80 ft² (remember, the height of the room is 8 ft).

for the sister's room it is similar.

just a 12×10 = 120 ft² ceiling.

and 2 rectangles of 12×8 = 96 ft² and again 2 rectangles of 10×8 = 80 ft² as walls.

altogether we have then

140 + 112 + 112 + 80 + 80 + 120 + 96 + 96 + 80 + 80 ft²

that is in total

996 ft²

how many gallons of paint do we need for this ?

well, 1 gallon per 250 ft².

so, how often does 250 fit into 996 ?

996 / 250 = 3.984 gallons.

since we get the paint most likely only in quantities of gallons, we need 4 gallons for the paint job.

6.
5. ¿Qué número tiene el mismo
valor que l centena, 7 decenas?

Answers

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

He are you able to solve these

Answers

Your missing anything to solve , if you intended to put a picture it’s not there

solve for X

























..................................................................................

Answers

Answer:

C. 9

Step-by-step explanation:

The measure of a triangle is 180.  

Make all the angles equal 180.

50+80+6x-4=180.

Solve.

6x=54

x=9

Answer:

9

Step-by-step explanation:

All triangle angles add up to 180 degrees.

50 + 80 + (6x - 4) = 180

130 + (6x - 4) = 180

-130                  -130

6x - 4 = 50

+4          +4

6x = 54

/6      /6

x = 9


When four times a number is decreased by 9, the result is 19. What is the number?

Answers

Answer:

7

Step-by-step explanation:

Working backwards:

19 + 9 = 28

28/ 4 = 7

Checking work:

7 x 4 = 28

28 - 9 = 19

7 is the answer. Hope this helps

It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?

Answers

Answer:

it took Jasmine 479 miles per hour

The Lamborghini Sports Car reaches a maximum speed of 200km/h in 15.50s
The McLaren Sports Car displays the same time as the Ferrari Sports Car.
The Renault Sports Car is small in size.
The Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car.
The Renault Sports Car is three tenths of a second faster than the McLaren Sports Car.
What time does the Renault Sports Car displays to reache a maximum speed of 200km/h?

Answers

The Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Since the Lamborghini Sports Car reaches a maximum speed of 200km / h in 15.50s, the McLaren Sports Car displays the same time as the Ferrari Sports Car, the Ferrari Sports Car is a tenth second slower than the Lamborghini Sports Car, and the Renault Sports Car is three tenths of a second faster than the McLaren Sports Car, to determine what time does the Renault Sports Car displays to reache a maximum speed of 200km / h the following calculation must be performed:

15.5 - 0.1 + 0.3 = X 15.4 + 0.3 = X 15.7 = X

Therefore, the Renault Sports Car displays 15.70 seconds to reache at maximum speed of 200km / h.

Learn more in https://brainly.com/question/25561796

Name the property of addition illustrated.

[3+(-8)] + 9 = 3+(- 8+9)

Answers

Answer:

Associative property

Step-by-step explanation:

The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.

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