write a linear function f with the values f(-2)=8 and f(1)=-10​

Answers

Answer 1

Answer:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

y = f(x)m is the slope of the line  represents the functionb is the y-intercept ⇒ value y at x = 0

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where  

(x1, y1) and (x2, y2) are two points on the line

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-10-8}{1--2}[/tex] = [tex]\frac{-18}{1+2}[/tex] =  [tex]\frac{-18}{3}[/tex]

m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

The linear function f(x) = -6x - 4


Related Questions

Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

AC=2DE

48-4x=2(64-7x)=128-14x

14x-4x=128-48

10x=80

x=80/10=8

DE=64-7x=64-7*8=64-56=8

need help please, will give Brainly

Answers

Answer:

evaluate C2 + 4a - b

-2 +4(-5)-3

4=-2-5-3

4=4

=4-4

=0

Pets R Us claims in their advertisement that they have the best price in town for ChowChow dog food. They sell 20-pound bags for s1695. Stuffapets also claims to have the best price in town for
ChowChow dog food. They are selling 30-pound bags for $24.95. Which store has a valid claim?
Pets R Us: 20-
pound bags for
$16.95
Stuff4Pets: 30-
pound bags for
$24.95

Answers

Answer:

stuff4pets has better price by 2 cents

Step-by-step explanation:

unit rate for chowchow is 16.95/20 = $.85 per pound

unit rate for stuff4pets is 24.95/30 = $.83 per pound

Answer:

Stuff4pet has a valid claim

I am very sure

Step-by-step explanation:

I'll give brainliest to the right answer! I need help ASAP!

Answers

Answer:

answer: y= 1^2+ -8 I think I did this right.

Answer:

y=-1/2x-8

Step-by-step explanation:

How can we use ratios and proportional relationships to help us in our daily lives?

Answers

Answer:

In cooking (recipes).

Step-by-step explanation:

If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.

Jorge has a Total of 67 coins. All of which are dimes and nickels. The total value of the dimes and nickels i $5.40. Find the number of each type of coin.

Answers

Answer:

There are 41 dimes and 26 nickels.

Step-by-step explanation:

From the information given, you know that you have 67 coins which would be:

x+y=67

Also, you now that the value of each coin is:

dimes= $0.10

nickels=$0.05

With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:

0.10x+0.05y=5.40

You will have the following equations:

x+y=67 (1)

0.10x+0.05y=5.40 (2), where:

x are the number of dimes

y are the number of nickels

First, you can solve for x in (1):

x=67-y

Then, you can replace (3) in (2):

0.10(67-y)+0.05y=5.40

6.7-0.10y+0.05y=5.40

1.3=0.05y

y=1.3/0.05

y=26

Now, you can replace the value of y in (3) to find x:

x=67-y

x=67-26

x=41

According to this, the answer is that there are 41 dimes and 26 nickels.

Help me i can’t do this

Answers

Answer:

[tex]\huge\boxed{\sf Star = 14}[/tex]

Step-by-step explanation:

Let snowman be x , star be y and shopping bag be z.

So, the given equations are:

1) x + y = 20                 (Eq. 1)

2) z = x + x      

 z = 2x                         (Eq. 2)

3) z + x = 18                   (Eq. 3)

Put Eq. (2) in Eq. (3)

2x + x = 18

3x = 18

Divide both sides by 3

x = 18 / 3

x = snowman = 6

Now, Put x in (Eq. 1)

6 + y = 20

Subtract 6 to both sides

y = 20 - 6

y = 14

So,

Star = 14

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which ordered pair is a solution to the equation 8x - 2y = 4?

Question 1 options:

(0, -1)


(1, 3)


(2, 6)


(3, 4)

Answers

Answer:

i think 0,1

Step-by-step explanation:

bc iit goes like that lol

In a heard of x cattle, the ratio of the number of bulls to cows is 1:6. Find the number of bulls in the herd in terms of x.

Answers

Answer:1/6*x

Step-by-step explanation:

Answer:

1/6=x

Step-by-step explanation:

find the interest earned on 45,000 at 14% for 8 years​

Answers

Answer:

$128366.39

Step-by-step explanation:

We will use the Simplified Compound Interest Equation:

P = C(1 + r)^t

P = 45000(1+0.14)^8

P = 45000(1.14)^8

P = 128366.389

So about $128366.39

Answer:

simple

Step-by-step explanation:

45000×14×8/100

5040000/100

=50400

The table shows the number of wins and losses for four hockey teams.
Which two teams have the same ratio of wins to losses?
(pls help!)
Lightning and Thunder
Wolves and Eagles
Thunder and Wolves
Eagles and Lightning

Answers

Answer:

Thunder and Wolves

Step-by-step explanation:

If its right can I get Brainllest? Please

Use the graph that shows the solution to f(x) = g(x).
f(x) = -(x + 2)(x - 2)
8(x) = 2x + 21
fx)
What is the solution to f(x) = g(x)?
1
3
Select each correct answer
-2
0
2
3
2
3
-32

Answers

Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.

What is the solution to f(x) = g(x)?

The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).

The only problem here is determining which graph is correct:

f(x) is the same on both graphs;

g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;

the "vertex" of lxl is (0, 0);

consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.

To know more about graph, visit:

https://brainly.com/question/11803331

#SPJ1

Please help

Have a merry Christmas

Answers

The answer is actually 32.

Contradicting the last answer, the answer 40 is half of 80, so that answer is actually 50 percent.

And also, a little trick to find out percentages is to multiply the first number in the percentage, with the number you are trying to find

Ex. 20 percent of 70
2 * 7 = 14 percent

Answer:

32 :)

Step-by-step explanation:

Use the following information to answer Part A Part B
*2 Systems of Equations
John wants to join a gym so that he can work out during the evenings. There are two gyms in his town that he is considering. Extreme
Fitness charges a $50 Signup fee and then $10 per month. Ultimate Fitness charges a $30 initiation fee and then $15 per month. Extreme
Fitness is closer to John's home and has more equipment than Ultimate Fitness. Find the number of months where the cost of the membership will be the same for both gyms

Answers

Answer:

can some one please answer it please

Step-by-step explanation:

Joel needs 785 tickets to get the prize he wants at the arcade. He already has 284 tickets and can earn 35 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

He needs to play 23 more times. 785 / 35 = 23

He will have extra points but it will be enough to get the prize.

Length of a rectangle swimming pool is 50 yards and the width of the pool is 60 yards what is the approximate length of the diagonal of pool

Answers

Answer:

Approximately 78 yards

Step-by-step explanation:

From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.

x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.

Debora plans to sew 3 blankets for each of her nieces.

How many blankets will Debora sew if she has 5 nieces?

Answers

Answer:

well for me I think it's

Step-by-step explanation:

15

5×3 each

Answer:

15 blankets

Step-by-step explanation:

Debora plans to sew 3 blankets for each of her nieces. If she has 5 nieces, that means she will sew 3 blankets for each of them.

Number of blankets Debora sews = 3 blankets × 5 nieces

= 15 blankets

Therefore, Debora will sew 15 blankets in total.

I hope this helps!

Using the elimination method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.



`-3x-4y=2`

`3x+3y=-3`​

Answers

Answer:

ummm......i need more details.

Step-by-step explanation:

-3x - 4y = 2
3x + 3y = -3
The 3x and -3x cancel out so u'll be left with...
-4y = 2
3y = -3 subtract
-------------
-y = -1 or
y = 1

To get x, u have to plug in y to either equation....
3x + 3(1) = -3
3x + 3 = -3 subtract 3 from both sides
3x = -6 divide 3 from both sides
--------------
x = -2


If I did this correctly, your answer should be (-2, 1)

Haley is printing admission tickets for the school dance. So far, she has printed 112 tickets. She knows that she needs to print 320 tickets in total. What percent of the tickets does Haley still have to print?

Answers

Answer:

Answer:

Haley needs to print 65% of the tickets.

Step-by-step explanation:

Given that:

Tickets printed by Haley = 112

Tickets needed to print = 320

Tickets left to print = 320-112 = 208

Percent of tickets left to print =  

Percent of tickets left to print =  

Percent of tickets left to print = 0.65*100

Percent of tickets left to print = 65%

Hence,

Haley needs to print 65% of the tickets.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Haley needs to print:

320-112=208 tickets

1% of 320 is equal to 320/100=3.2

208/3.2=65

She needs to print 65% more tickets

A share is sold for the market value of ₹1000. Is the face value of share is ₹100 and brokerage is paid at the rate of 0.1%what is the amount received of the Sale?​

Answers

hope this will help you

ANSWER PLS!!
What is the answer

Answers

Answer:

C is the correct answer.(Plus I remember this question)

I NEED HELP PLS!

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)

Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)

(10 points)

Answers

Answer:

es a través de los ejes x si lo cuenta, puede ver lo que es en su cuadrícula y encontrará la respuesta exacta

Help me with this pls :')
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V = πr²h

Answers

Answer:

150.796 in³ of water

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define

Radius r = 3 in

Height h = 8 in

Step 2: Find Volume V

Substitute [VC]:                    V = π(3 in)²(8 in)Exponents:                           V = π(9 in²)(8 in)Multiply:                                V = 72π in³Multiply:                                V = 226.195 in³

Step 3: Find Water

2/3 of vase should be filled with H₂O.

Set up:                    2/3(72π in³)Multiply:                  48π in³Evaluate:                 150.796 in³

Answer:

We know the formula for the volume of a cylinder is V=πr^2has given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Step-by-step explanation:

hope this helps

The polynomial x^4+px^3+qx^2+rx+6 is exactly divisible by each of (x-1), (x-2) and (x-3).
Find the values of p, q and r.

Answers

The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if

f(x) = x⁴ + p x³ + q x² + r x + 6

is divisible by x - 1, x - 2, and x - 3, then we have

f (1) = 7 + p + q + r = 0

f (2) = 22 + 8p + 4q + 2r = 0

f (3) = 87 + 27p + 9q + 3r = 0

Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:

p + q + r = -7

8p + 4q + 2r = -22   →   6p + 2q - 14 = -22   →   3p + q = -4

27p + 9q + 3r = -87   →   24p + 6q - 21 = -87   →   4p + q = -11

Eliminate q by adding (-1) times the first equation to the second one, then solve for p :

- (3p + q) + (4p + q) = - (-4) + (-11)

-3p - q + 4p + q = 4 - 11

p = -7

Solve for q :

3p + q = -4   →   3 (-7) + q = -4   →   q = 17

Solve for r :

p + q + r = -7   →   -7 + 17 + r = -7   →   r = -17

1.
Which equation is true when m = 12?

Answers

Answer:

are there any more details? cant solve anything from what you have provided

Step-by-step explanation:

Alfred and Larissa have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alfred takes 35% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alfred correct? Is Larissa correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.

Answers

Answer: See explanation

Step-by-step explanation:

The normal cost of the book plus the sales tax will be:

= $28.50 + ($28.50 × 10%)

= $28.50 + ($28.50 × 0.1)

= $28.50 + $2.85

= $31.35

Since there's a discount of 35%, the amount they'll have to pay will be:

= $31.35 - ($31.35 × 35%)

= $31.35 - ($31.35 × 0.35)

= $31.35 - $10.9725

= $20.3775

They do not have enough money to make the purchase.

Alfred takes 35% of $28.50 and subtracts that amount from the normal price. Alfred's calculation is shown below:

= $28.50 - (35% of $28.50)

= $28.50 - (0.35 × $28.50)

= $28.50 - $9.975

= $18.525

He takes 10% of the discounted selling price and adds it back to find the purchase amount. This will be:

= $18.525 + (10% × $18.525)

= $18.525 + $1.8525

= $20.3775

Alfred is correct

Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. This will be:

= 65% × $28.50

= 0.65 × $28.50

= $18.525

= 110% × $18.525

= 1.1 × $18.525

= $20.3775

Larisa is also correct

SOMEONE HELP PLEASE ASAP

Answers

Answer:

The last one: Decreasing then increasing

Step-by-step explanation:

Answer:

d?

Step-by-step explanation:

192/38 with remanders

Answers

Answer:

5 Remainder 2

Answer:

The answer is 5 remainder 2

Step-by-step explanation:

BRAINIST & 20 POINTS


*random answers will be reported*

Answers

Answer:

6-1

Step-by-step explanation:

Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
Pls show work!!!

Answers

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²

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