Write the rule for the linear function. Remember a function rule is written using

Write The Rule For The Linear Function. Remember A Function Rule Is Written Using

Answers

Answer 1

Answer:

The rule for the linear function will be:

f(x) = -2x+1

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear  as shown in the attached graph

Taking two points

(0, 1)(1, -1)

Finding the slope between (0, 1) and (1, -1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [-1 - 1] / [1 - 0]

                = -2 / 1  

                = -2

Thus, the slope of the line = m = -2

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 1

Thus, the y-intercept b = 1

Now, substituting m = -2 and b = 1 in the slope-intercept form of linear function

y = mx+b

y = (-2)x + 1         ∵ m = -2, b = 1

y = -2x+1

f(x) = -2x+1

Therefore, the rule for the linear function will be:

f(x) = -2x+1


Related Questions

You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the

balance with a 5.4% annual interest loan for 36 months. The sales tax in your city is 7.6%, and the license and title

charges are $125.13. Determine the amount that the credit union will finance you for. Round your answer to the nearest

cent.

a $24,179.10

c. $21,761.20

b. $24,169.60

d. $21,752.64

Answers

Answer:

(b) [tex]\$24,169.60[/tex]

Step-by-step explanation:

Given:  Cost of car is [tex]\$22,346.16[/tex]

            Sales tax is [tex]7.6\%[/tex]    

             The license and title  charges are [tex]\$125.13[/tex]

To find: The amount that the credit union will finance.

Solution:

We have,  

Cost of car[tex]=\$22,346.16[/tex]  

Sales tax is [tex]7.6\%[/tex] of [tex]\$22,346.16[/tex]

Therefore,  

sales tax [tex]=\frac{7.6}{100}\times22,346.16=\$1698.31[/tex]

The license and title  charges [tex]=\$125.13[/tex]

Now, the amount that the credit union will finance is

cost of car[tex]+[/tex]sales tax[tex]+[/tex]the license and title  charges

[tex]=\$22346.16+\$1698.31+\$125.13[/tex]

[tex]=\$24,169.60[/tex]

Hence, the amount that the credit union will finance is [tex]\$24,169.60[/tex].

So, (b) [tex]\$24,169.60[/tex] is correct.

Answer:

b.

$24,169.60

Step-by-step explanation:

hope it helps :)

Which of the following is true?

xy–y–x+1 = (1+x) (1–y)
xy–y–x+1 = (x–1) (y–1)
xy–y–x+1 = (1–x) (y–1)
xy–y–x+1 = (x–1) (1–y)

plz fast

Answers

Answer:

The second one

Step-by-step explanation:

PLEASE SOLVE FOR BOTH THE STARS AND SQUARES! BRAINLIEST AND 5 STARS! URGENT

Answers

Answer:

1 to 2

1:2

1/2

Step-by-step explanation:

Answer:

Ze anser is 1:3 (づ。◕‿‿◕。)づ

Step-by-step explanation:  

find the equation of the line shown;

Answers

Answer: Assuming it means slope-intercept, the answer would be y=-2x+9

y = -2x + 9 is the equation of the line given in the graph.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a graph of the line, Where we can see that the line passes through the coordinates (0, 9) and (1, 7)

From the slope-intercept formula of a line:

y = mx +c

Where m is the slope

And c is the value of y at x =0

Thus in our case,

c = 9

and slope m = (y - y )/(x - x)

m = (7-9)/(1-0)

m = -2

so, the equation of the line:

y = -2x + 9

Therefore, the equation of the line in the given Graph is y = -2x + 9.

Learn more about Linear equations here:

https://brainly.com/question/11897796

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Three years ago Alicia was twice as old as her brother Carlos. In two more years Alicia will be just 50% older than Carlos. How old is Alicia today?

Answers

Answer:

13 years

Step-by-step explanation:

Let the present age of Alicia be x

Let the present age of her brother be y

Three years ago;

Alicia age = x - 3

Her brother's age = y - 3

If three years ago Alicia was twice as old as her brother Carlos, then;

X - 3 = 2(Y-3)

x-3 = 2y - 6

x = 2y - 3 ...1

In two years time;

Alicias age = x+2

Her brother's age = y +2

If in two more years Alicia will be just 50% older than Carlos, then;

x+2 = y + 2 + (0.5(y+2))

x+2 = y+2 + 0.5y + 1

x+2 = 1.5y+3

x = 1.5y + 1 ...2

Equating 1 and 2;

2y - 3 = 1.5y + 1

2y - 1.5y = 1+3

0.5y = 4

y = 4/0.5

y = 8

Since x = 2y-3

x = 2(8) - 3

x = 16-3

x = 13

Hence Alicia will be 13 years old today

Start at 7:30pm
add 46 minutes
add 20 minutes
add 53 minutes

Answers

Answer:

Start at 7:30pm

add 46 minutes = 8:16 Pm

add 20 minutes = 7:50 Pm

add 53 minutes = 8:23 Pm

Step-by-step explanation:

please help me with this if u get it right u get BRAINLISTED HELP PLS​

Answers

Answer:

D

Step-by-step explanation:

simplify:

3x+9>x+33

2x>24

x>12

now see the graphs, and B and D both are marked with 12

but D has no filled circle, so that is the right answer

I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!

The roller coaster ride is less than 3 minutes.
write inequality

Answers

X < 3 is your answer
X < 3 would be your answer

Use the figure to find the measures of the numbered angles. a 107 b mm​

Answers

Angle 1 is 107
Angle 2 is 73

help me with this please ​

Answers

Answer:

neither

Step-by-step explanation:

The answer is Neither

Select the correct answer.
Which graph represents this equation?

5y = x + 5

Answers

the answer is graph B

Answer:b

Step-by-step explanation:

Work out the percentage change when a price of £20 is increased to £22.​

Answers

Answer:

10% increase

Step-by-step explanation:

To find the percent change, divide the difference between the 2 prices by the original price:

2/20

= 0.1

So, the percent change was 10%

• The website is offering a discount of $7.50 on all Bolga basket orders.
Which expression can you use to find the total price of a basket order?
7.5b + 42
426 - 7.5
7.5b - 42
42b + 7.5

Answers

The expression which can be used to find the total price of a basket order is [tex]T=42b - 7.5[/tex]

Let the basket orders be b.

Given the following data:

Discount = $7.50Cost of orders = $42

To determine which expression can be used to find the total price of a basket order:

Since the basket orders had a discount of $7.50, this discount would be substracted from the cost price of the orders, in order to find the total price. Also, the total cost price would be multiplied by number of basket orders.

Mathematically, this is given by this expression:

[tex]T=42b - 7.5[/tex]

Read more on discount here: https://brainly.com/question/933761

Given point P(8, -3) and Q(3,9), What is the
midpoint of PO?

Answers

Answer:

(5.5,3)

Step-by-step explanation:


The value of angle B is
125 115 105

Answers

pretty sure it is 115

Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap​

Answers

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

NEED HELP ASAP PLS PLS PLS
At 9:00 a.m., the temperature at an Arctic observatory was −12°F. By 5:00 p.m., the temperature had risen 5 degrees. Over the next three hours, the temperature had dropped 2 degrees.

What was the temperature at 8:00 p.m.?

Answers

The temperature at 8 pm is obtained as follows:

-9 ºF.

How to obtain the temperature at 8 pm?

The temperature at 8 pm is obtained applying the sequences in the context of this problem.

The initial temperature is of:

−12°F.

By 5:00 p.m., the temperature had risen 5 degrees, hence the temperature at 5 pm is given as follows:

-12 + 5 = -7ºF.

Over the next three hours, the temperature had dropped 2 degrees, hence the temperature at 8 pm is obtained as follows:

-7 - 2 = -9 ºF.

More can be learned about sequences at https://brainly.com/question/6561461

#SPJ1

x/4+2=10

what is x in equation?

Answers

Answer:

x = 32

Step-by-step explanation:

x/4 + 2 = 10

subtract 2 on both sides

x/4 + 2 - 2 = 10 - 2

x/4 = 8

Multiply 4 on both sides

x/4 * 4 = 8 * 4

x = 32

__________________________________________________________

Check:

32/4 + 2 = 10

8 + 2 = 10

10 = 10 CORRECT

Hope this helped!

Answer: x=32
Explanation: (x/4)+2=10
-subtract 2 from both sides of the equation
- you’re left with x/4=8
-multiply both sides by 4 to get rid of the denominator and the answer is x=32

Take your time with this. What are the answers for C and D? Will mark Brainliest.

Answers

Answer:

Step-by-step explanation:

Part C- y=20x+600

Part D- To part D find the equations for all the cities.

Everett- y=15x+550

Chelsea- y=20x+600

Revere- y=50x+300

Since 2030 is 14 years away from 2016 x will equal 14.

Plug in 14 to each of the equations. Whichever has the highest result will be the answer.

Everett- y=15(14)+550 -----> y=760

Chelsea- y=20(14)+600 -----> y=880

Revere- y=50(14)+300 -----> y=1000

Revere will have the most chromebooks.

Where are the images of points A, B, C, and D after the reflection across the x-axis?

Answers

A is (-1,-1) B is (3,-1) C is (1,2) and D is (-3,2). hope this helps!

Identify the coefficient of the term -9c
1. C
2. -c
3. 9
4. -9

Answers

-9. A coefficient is a number in front of a variable. Ex -23b. -23 would be the coefficient because that’s a number. And always remember to carry along the negative sign as well

Joshua is training for a race. The ratio of the number of minutes he runs to the number of miles he runs is 24 to 3. He plans to run 10 miles. How many minutes will it take him?

Answers

Answer:

Time taken to cover 10 miles = 80 minutes

Step-by-step explanation:

Given:

Ratio [Number of minutes : Number of miles runs] = 24:3

Find:

Time taken to cover 10 miles

Computation:

Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10

24/3 = Time taken to cover 10 miles / 10

Time taken to cover 10 miles = 80 minutes

I NEED HELP ASAP PLEASE (will give brainliest)​

Answers

It should be ABF-28. CBD-28. ABC-152

Answer: ↓↓

Step-by-step explanation:

∠ABF and m∠60° are complementary since they form a right angle.

∠ABF + 60 = 90

∠ABF = 30°

ABF and ∠CBD are vertical angles so they're congruent.

∠CBD ≅ ∠ABF

∠CBD ≅ 30

∠CBD = 30°

∠ABC and ∠CBD are linear pair so they're supplementary.

∠ABC + ∠CBD = 180°

∠ABC + 30 = 180

∠ABC = 150

Hope I helped!

A local school requires 3 teachers for every 93 students. Which equation represents this relationship, where t is the number of teachers and s is the number of students?

Answers

Answer:

t = 31s

Step-by-step explanation:

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

Answer this question please

Answers

Answer:

6

Step-by-step explanation:

add 2 each time

Answer- Add 2 each time

(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me

Answers

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

I need help ASAP please someone help!

Answers

Answer: Choice A.  [tex](-\infty, \infty)[/tex]

This is the same as saying the set of all real numbers.

There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.

This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.

A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.

One way we can describe the set of all real numbers in terms of an inequality is to write [tex]-\infty < x < \infty[/tex] meaning that x is between negative and positive infinity, ie x is anything you want. The inequality [tex]-\infty < x < \infty[/tex] converts to the interval notation [tex](-\infty, \infty)[/tex]. Interval notation is a compact way of writing compound inequalities.

Solve the equation.
-1/6x - 5 = 2/3x
Please type step-by-step explanation.

Answers

Answer: Solution

=

6

Step-by-step explanation:

Answer:

X = -6 plz brainliest

Step-by-step explanation:

-1/6x - 5 = 2/3x

Get rid of the smallest amount of x by adding 1/6x to both side

-5 = 5/6x

Divide both side by 5/6

-6 = x

X = -6

x - y = 11 and 3x + 10y = -6 How would I solve by substitution?

Answers

Answer:

y = - 3, x = 8

Step-by-step explanation:

x - y = 11, x = 11 + y

Lets solve this equation with substitution: 3x + 10y = - 6

3(11+y)+10y=-6

33+3y+10y=-6

13y=-39

y = - 3

x - (-3) = 11

x + 3 = 11

x = 8

Answer:

use the first equation and solve for the variables

Step-by-step explanation:

for example, to solve for x add y on both sides x=11+y and substitute that to the equation

3(11+y)+10y=-6

that should give you -3

then go back to the equation x=11+y

x=11+(-3)

x=8

hope this helps!



What is the division problem for 3 1/5?

Answers

Answer:

16÷5 is the division problem

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