Write the rule for the linear function. Remember a function rule is written using f(x)

Write The Rule For The Linear Function. Remember A Function Rule Is Written Using F(x)

Answers

Answer 1

Answer:

The rule for the linear function will be:

f(x) = 5/2x - 4

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

Taking two points

(0, -4)(2, 1)

Finding the slope between (0, -4) and (2, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [1 - (-4)] / [2 - 0]  

                 = 5 / 2

Thus, the slope of the line = m = 5/2

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 = -4

Thus, the y-intercept b = -4

Now, substituting m = 5/2 and b = -4 in the slope-intercept form of linear function

y = mx+b

y = (5/2)x + (-4)        ∵ m = 5/2, b = -4

y = 5/2x - 4

or

f(x) = 5/2x - 4     ∵  y = f(x)

Therefore, the rule for the linear function will be:

f(x) = 5/2x - 4


Related Questions

-6+x/4=-5 please help

Answers

Answer:

x=4

Step-by-step explanation:

plug it in to see if it works

Answer:

X=4

Step-by-step explanation:

Solve for x:

x/4 = -5+6

x/4 = 1

multiply by 4 on both sides.

x=4

Match the tables with the direct variation equation. You will not use all options.


Table A

x y
4 5
5 6.25
6 7.5


Table B

x y
7 1.61
12 2.76
14 3.22


Table C

x y
5 10.5
7 15
8 19.5


Table D

x y
0 0
11 35.2
15 48

The options are:
y=1.25x
not direct variation
y=0x
y=.23x
y=x+1
y=3.2x
y=5.5x

Answers

Answer:

the answer is table d 12 =12+34=4

Step-by-step explanation:

Please Help Me!!!!!!​

Answers

The answer to the question provided is 50

Answer:

its C

Step-by-step explanation:

if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division  so 20 divided by 2/5 = 50

check answer by multiplying 2/5 and 50 to get 20

Aimee and Ben are purchasing a condominium and are financing $160,000. The mortgage is a 20 year 3/1 ARM with a cap structure of 1.5/10. What will their payments be for the first 3 years?

Answers

Answer:

$1169.45

Step-by-step explanation:

Using the formula:

[tex]P = L \Big( \dfrac{c(1+c)^n}{(1+c^n) -1} \Big)[/tex]

where;

Loan amount L = 160000

number of months (n) = 20 × 12 = 240

Lets assume that the interest rate per month c = 6.25% since it is not given.

i.e. (6.25/( 100*12) ) = 5.208 × 10⁻³

[tex]P = 160000 * \dfrac{5.208 *10^{-3} (1+5.208 *10^{-3})^{240}}{(1+5.208 *10^{-3})^{240}-1}[/tex]

P = $1169.45

Plz help due tomorrow

Answers

Sorry too hard so sorry
Answer : 19 - 6/5j

To simplify this equation you need to combine like terms, adding all numbers and adding all variables.

There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.

Answers

Answer: r/c  

Step-by-step explanation:

96/48

or

24/12

can somebody explain to me how did I get this equation? please I need it​

Answers

Answer:

Step-by-step explanation:

Its hard to explain but its easy, power "2" on 100 is 10000

1/3 times -6 + 5= in fraction form and show work

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3[/tex]

Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below.

Answers

Answer:

1. $927

2. The ERROR in his expression is that he used 1.015 instead of using 0.015 (1.5%).

Step-by-step explanation:

1. Calculation for What is the correct amount Vince will pay back altogether

Using this formula

A = P + PRT

Where,

A represent Amount=?

P represent Principal =$900

R represent Rate of interest= 1.5%

T represent Time=2 years

Let plug in the formula

A = $900 + $900(0.015*2)

A = $900 + $900(0.03)

A = $900 + $27

A = $927

2. Explanation of the error in in Vince’s expression.

Based on the information given the expression he used which is 900 + 900(1.015 • 2) was correct but the ERROR in his EXPRESSION is that he incorrectly used 1.015 instead of using 0.015 (1.5%).

Therefore the correct amount Vince will pay back altogether will be $927 while the ERROR in his expression used 1.015 instead of using 0.015 (1.5%).

A line contains the point (2, 3) and has a slope of
2
What is the point-slope form of the line?
A- y - 2 = 1/2 (x-3)
B- y - 3 = 1/2 (x-2)
C- y + 2 = 1/2 (x+3)
D- y + 3 = 1/2 (x+2)

Answers

Answer:

B) y - 3 = 1/2 (x-2)

Step-by-step explanation:

y-y1=m(x-x1)

What do you call the well-defined collection of objects?

Answers

Answer:

A Set

Explanation:

A set is a well-defined collection of objects called elements or members of the set.

can somebody help me ?

Answers

Answer:

I think it is the value of this constant is called the coefficient of proportionality

Step-by-step explanation:

The value of this constant is called the coefficient of proportionality or proportionality constant. ... Equivalently one may write x = 1k ⋅ y; that is, x is directly proportional to y with proportionality constant 1k (= xy).

There are 14 girls in class and 12 boys. Write the ratio of boys to students in 3 ways.

Answers

Answer:

4

Step-by-step explanation:

Answer:

12:26

12 to 26

12/26

Step-by-step explanation: These are three different, correct ways to write the ratio of boys (12) to the ratio of all the students combined (12 + 14). You can use colons to write a ratio ( : ), you can use the word "to", and you can use a slash symbol ( / ). Hope this helps ^-^.

How is the formula for the area of a triangle related to the formula for the area of a parallelogram?​

Answers

Answer:

The area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is 2 times the area of a triangle

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Online Content: Site 2 What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle? (Site 1)

Answers

yes because click to review the online conscience to answer the questions below using complete sentences we’re going to view additional questions

Cant figure it out pls help

Answers

5y = -3x + 7

y = -3/5x + 7/5

Parallel = same slope

y = -3/5x + b

3 = -3/5 + b, b = 18/5

Standard form: Ax + By = C

y = -3/5x + 18/5

-3/5x - y = -18/5

Multiply by -5

Solution: 3x + 5y = 18

Answer: Scale factor = 2

This is the same as writing [tex]\frac{2}{1}[/tex]

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

Explanation:

Focus on the left sides of each triangle. They correspond to one another. Note how RS represents the first two letters of RST; while MN represents the first two letters of MNO. We can see the order matters.

To find the scale factor, we divide MN over RS to get

MN/RS = 6/3 = 2

Therefore, the sides of triangle MNO are 2 times longer compared to the sides of triangle RST.

------------------------

Extra info:

If you want to find x, then you would solve the following

MN/RS = ON/TS

6/3 = x/5.5

6*5.5 = 3x

33 = 3x

3x = 33

x = 33/3

x = 11

or we could simply multiply ST = 5.5 by the scale factor 2 getting 5.5*2 = 11, which is the length of segment ON.

Please help it due ASAP
Please show workings

Answers

Answer:  Choice B

Point P is located at (-2, -1.8)

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

Explanation:

Refer to the diagram below. I've added point Q (2, -3) that is directly below point M, and directly to the right of point N. Right triangle MQN forms with the 90 degree angle at point Q.

The distance from N to Q is 5 units. Count the spaces or apply subtraction and absolute value to find this.

1/5 of this distance is (1/5)*5 = 1. Starting at point N, move 1 unit to the right to arrive at point A(-2,-3). Point P is directly above this point A, such that point P is on line segment MN.

In other words, point P has x coordinate x = -2. So the answer must be choice B as this is the only answer choice that has its point with x coordinate -2.

--------------------

The distance from Q to M is 6 units. Taking 1/5 of this leads to (1/5)*6 = 1.2

Start at point Q and move 1.2 units up to arrive at point B(2,-1.8). This point is on the same horizontal level as point P. So points B and P have the same y coordinate y = -1.8

The x coordinate of P is the same as the x coordinate of A(-2,-3)

The y coordinate of P is the same as the y coordinate of B(2,-1.8)

So overall, point P is located at P(-2,-1.8).

Again refer to the diagram. It shows point P directly above point A, and it shows point P on the same level as point B.

The length of segment NP is exactly 1/5 that of the length of segment NM.

We can write that as

NP = (1/5)*NM

this is equivalent to

5*NP = NM

after multiplying both sides by 5

Greg bought a soft drink for 3 dollars and 6 candy bars. He spent a total
15 dollars. How much did each candy bar cost ?

Answers

Answer:

2 dollars is one candy bar

Step-by-step explanation:15-3

12/6=2

what is the length of a small paper clip?​

Answers

Answer: 1.375 inches

Step-by-step explanation:

Approximately 1.357 inches

pls help. i have to write it in exponential form

Answers

X × X - X × X × X × X × X + 17= X × X × X + 2

Finish the chart for
y= 1/2x

Answers

Answer:

So we know that y=1/2x. So we apply this equation on each x.

x=-2, so y=1/2*-2 which is -1. so y = -1

x=0, so y = 1/2 * 0 which is 0. so y=0

x=2, so y = 1/2*2 which is 1. so y=1

Hope this helps :))

It would be -2=-1, 0=0 , 2=1

Hope this helps

Have a great day/night


HELP PLEASE AND THANK YOU?!!!!!!!

Answers

Answer:

1/64

Step-by-step explanation:

2/8 chance that one of them get a gift card at least $25.

Do that three times

2/8 x 2/8 x 2/8 = 1/64 (simplified it)

A is the correct answer for 1/64

Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the other pencil were faulty,so he threw them away. How many pencils were thrown away

Please help me

Answers

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

CAN U WRITE IF THEYRE POTENTIAL OR KINETIC PLZ?? I WILL MARK BRAINLIEST

Answers

Answer:

1. potential

2. potential

3. potential

4. kinetic

5. kinetic

6. kinetic

7. potential

8. kinetic

9. kinetic

10. potential

11. kinetic

12. potential

Step-by-step explanation:

Mr. Rogers wants to retile the front of his roof. The roof of a house is 8 feet tall. If each tile is 1 foot by 1 foot, how many tiles does he need to buy in order to cover the entire front of the roof?

Answers

Answer:

i do not know

Step-by-step explanation:

Evaluate the function.

f(x)=-4x²+19

Find f(−7)

Answers

Step-by-step explanation:

plug -7 for x into the function

f(-7)=-4(-7)²+19

f(-7)=-4(49)+19

f(-7)=-196+19

f(-7)=-177

Q3 of the numbers 5, 8, 10, 11, 12, 15, 19, 20, 20, 24, 25​

Answers

the answer is 20 ......

5. Josy wrote the following inequality,
x <-3
Which of the following numbers makes Joey's inequality true?
A 3
B. 0
C-1
D. -5

Answers

Answer: D

Explanation: -5 is less than -3

The answer the answer is D hope this helps !

pls help me high paying reward.

Answers

Step-by-step explanation:

In a GP, there is a common ratio between the terms.

8 / (-16/5) = 8 * (-5/16) = -2.5

-20 / 8 = -2.5

We can see that every new term is -2.5 times bigger than the previous term.

Hence to find the next term,

we multiply -20 by -2.5:

(-20)(-2.5) = 50.

Hence 50 should go into the box.

Answer:

50

Step-by-step explanation:

helpppppp :((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((9999

Answers

Answer is C and E.

All of the other ones don't follow order of operations properly.

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