Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)
what is the function rule for the line?

a. y= -13/5x

b. y= -5/13x

c. y= 5x -13

d. y= -13x +5

Answers

Answer 1

Answer:

The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: [tex]\mathbf{y=mx+b}[/tex]

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=0, x_2=5, y_2=-13[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}[/tex]

Finding y-intercept

We will use point(0,0) to find y-intercept

[tex]y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0[/tex]

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

[tex]y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x[/tex]

So, The Function rule for line is: [tex]\mathbf{y=-\frac{13}{5}x}[/tex]

Option A is correct option.


Related Questions

please help!! giving brainliest

Answers

Answer:

2. Def of supplementary angles

3. Def of supplementary angles

There is a box of crackers that has 2/5 of the crackers remaining. If Mrs. Cooper eats 3/10 of the remaining crackers,what fraction of the box did she eat

Answers

Answer:

1and2and3and4and5and5

A container of 45 brownies cost $6.47. A box of 30 cookies costs $5.29.

How much does one brownie cost?

Answers

Answer:

one brownie is .14

one cookie is .17

Step-by-step explanation:

If a car can travel 1530 miles in 15 hours , what is its constant speed? ( In other words how fast cbs it travel in one hour?)

Answers

Answer:

In 1 hour you *COUGHS* a car can travel 102 miles

Step-by-step explanation:

1530 miles: 15 hours

so let's say x is how many hours there are in 1 hour.

x miles: 1 hours

15 hours to: 1 hour?

what do you think you should do?

I'll give ya a hint, it's a ratio

HINT HINT: divide 15 hours by 15 to get 1 hour. You think u can do the same to 1530 miles? just divide it by 15


Calculate the circumference of a circle when the diameter is 5cm. Give your answer to 2
decimal places.

Answers

Answer:15.70

Step-by-step explanation:The formula for the circumference is 2πr. Plug-in the number provided into the formula, since diameter is double the radius you just divide the 5 by 2 to get 2.5.

So, 2π2.5=15.70

2 time π =6.28

6.28 time 2.5= 15.70

I need help :) plss with this question

Answers

Answer:

it bb

Step-by-step explanation:

You got Among Us :0 YESSSSSSSSSS

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

4 !

Step-by-step explanation:

Using the slope formula, you can take two of those sets of points to find the slope! i used the first two.

(-2, -10) and (-1, -6)

[tex]m= \frac{-6 - -10}{-1 - -2} = \frac{4}{1} = 4[/tex]

So the slope is 4!

I hope this helped!! Have an amazing day <3

Need help with number 2

Answers

Answer:

6/25

Step-by-step explanation:

0.24

24/100

12/50

6/25

Please Help

What is the equation of this line in slope-intercept form?

1) y= 3x - 1
2) y=-3x - 1
3) y = 3x + 1
4) y=-1/3x-1


Answers

2.) y=-3x-1 and if you look closely you’ll notice the line is going down making it negative and it’s going down by 3 so it’s -3x and when your looking for y just remember you’re looking for the point that’s on the line of y and here you can see the point is on -1 so there’s your answer.

3x + (2 + x) + 5 ∙ 3

Answers

4x+17 is the correct answer:)
Use PEMDAS to solve this:
3x + 2 + x + 5 * 3
3x + 2 + x + 15
Combine like terms:
4x + 17

ILL GIVE BRAINLIEST IF CORRECT!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?

Answers

Answer:

35/3

Step-by-step explanation:

[tex]\frac{x+6 + 6x+2+x+6}{3} =4x-7[/tex]

Simplify to get

9x+14=3(4x-7)

35=3x

x=35/3 or 11.66

simply a⁵×a-⁵×a⁰



I will mark as brainlest​

Answers

your ans is a power 10.

i think this is correct

a to the power of 10.

Select the correct answer.
Consider the function below.
х
-1
0
1
2
fx)
-2.
3
8
00
13
Which of the following functions could be the Inverse of function ?
A.
Х
-2
3
00
8
13
g(x)
-1
0
1
2
B.
Х
-2
-3
-8
-13
1
0
-1
-2
OC.
х
-1
0.
1
2
p(x)
2.
-3
-8
-13
D.
х
1
0
-1
-2
s(X)
-2
3
3
00
8
13

Answers

Answer:

A

Step-by-step explanation:

i pick that answer because u have yo flip the number around

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the inverse of the function, we need to switch the x and y variables, and then solve for y.

So, we start by writing the function in terms of y:

y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}

Now we switch the x and y variables:

x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}

Next, we solve for y:

For x = -2, y = -1

For x = 3, y = 0

For x = 8, y = 1

For x = 13, y = 2

Therefore,

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

Learn more about functions here:

https://brainly.com/question/28533782

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Determine the value of x

A. 8
B. 4
C.8sqrt2
D. 8sqrt3

Answers

Answer:

The value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]

Option C is correct.

Step-by-step explanation:

We need to find value of x

We are given Perpendicular = 8

Hypotenuse = x

and Ф= 45°

Using trigonometric identity

[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]

Putting values and finding x

[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}\\sin \ 45^o=\frac{8}{x}\\\frac{1}{\sqrt{2} }= \frac{8}{x}\\\frac{1}{\sqrt{2} }x=8\\x=8\sqrt{2}[/tex]

So, the value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]

Option C is correct.

Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of 3:5. How much does Monika get?

Answers

Answer:

Monika gets £90

Step-by-step explanation:

Let us use the ratio method to solve this question

∵ Monika and Robert are Two factory workers

∵ They win the in-house raffle with a prize of £240

∵ Monika and Robert share the prize money in a ratio of 3: 5

→ That means the total of the ratio is equivalent to the value of the prize

∵ The total of the ratio = 3 + 5 = 8

→ By using the ratio method

→  Monika  :  Robert  : Total

→   3           :   5           :   8

→   x           :   y            :   240

→ By using the cross multiplication

x × 8 = 3 × 240

∴ 8x = 720

→ Divide both sides by 8

∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{720}{8}[/tex]

x = 90

∵ x represents the share of Monika

Monika gets £90

Find the missing length for the pair of similar figures.

Answers

Answer:

a = 4.5

Step-by-step explanation:

In easy way you can understand by this simple way

if 4m half is 2m

so, 9m half is 4.5

in simple way answer

What are the slopes ?

Answers

Answer:

11. is a slope of -7/2

12. is a slope of 4 :)

Step-by-step explanation:

\The Mughal empire is best known for ______. a. it’s architecture c. the Persian and the Umayyad b. the division of Islam into Sunni & Shia d. conquering Spain

Answers

Answer:

it's architecture.

Step-by-step explanation:

I took the test

Answer:

a.

it’s architecture

If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (calculate P X Q before and after the price change)

Answers

Answer:

Revenue will decrease

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

PxQ= P1xQ1=50*30

PxQ= $1500

1. The revenue PxQ after price change will be

PxQ=P2xQ2= 60*20

P2xQ2= $1200

This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease

It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing day, what is the total number of leaves that have fallen to the ground by the end of the 24th day of autumn

Answers

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

Send answers I will check if correct

Answers

Step-by-step explanation:

on 1 September they will have same practice day....

cammie can mow 1/2 acre in 25 minutes. if her rate is constant, cammie says she can mow 1 1/4 acres in one hour

Answers

Answer:

NO because

Step-by-step explanation:

1/2+1/2+1/4=1 1/4

1/2=25min

25+25+12.5=62.5

It would take 62.5 min to do 1 1/4 acres

3. Jin purchased 7 tacos for $18.55. How much will he pay for 15 tacos?​

Answers

Jin (WWH) spends 18.55 for every 7 tacos he gets. That means he spends 18.55÷7 for every taco he gets.

18.55÷7 = 2.65

Now you need to find how much he spends for 15 tacos. If one taco is 2.65, you need to multiply 15 by 2.65 to find the price for 15 tacos.

2.65×15=39.75.

Jin will have to pay $39.75 for 15 tacos.

Which of the following functions could model the amount of gallons of water, ƒ(x), that the bathtub will contain after x minutes of being filled?
A
ƒ(x) = 5x + 7

B
ƒ(x) = 5x + 12

C
ƒ(x) = 7x + 5

D
ƒ(x) = 12x + 5

Answers

Answer:

A . ƒ(x) = 5x + 7

Step-by-step explanation:

As per table we have

Common difference of 5 (bottom row)So initial amount of water is 12 - 5 = 7 gallons

So the function is:

f(x) = 5x + 7

Correct option is A

Answer:

Step-by-step explanation:

It’s 5x+7 A on here and C on there

Kadence reads 8 pages in her book every 30 minutes. How many pages will she read in 6 hours?
A. O 84 pages
B.O 96 pages
C.O 240 pages
D. O 48 pages

Answers

Answer:

96 pages

Step-by-step explanation:

This is because she reads 16 pages per hour so we just multiply 16 by 6 hours. And we get 96 pages.

Answer:

B. 96 pages

Step-by-step explanation:

8 pages in 30 minutes.

16 pages in 60 minutes. ( 8 x 2 = 16 pages)

60 min = 1 hour

16 pages in 1 hour.

16 x 6 = 96 pages in 6 hours

PLEASE HELP!!!
Which equation has roots of 3±√2

?

A

x2−4x+1=0

B

x2−18=0

C

x2+6x+7=0

D

x2−6x+7=0

Answers

Answer:

1 think 89

Step-by-step explanation:

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is D.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A.) x²−4x+1=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(1)}}{2(1)}\\\\x = \dfrac{4 \pm \sqrt{16 - 4}}{2}\\\\x = \dfrac{4 \pm \sqrt{12}}{2}[/tex]

x = 2 ± √3

B.) x²−18=0

    x² = 18

    x = √18

C.) x²+6x+7=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(6) \pm \sqrt{(6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{-6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{-6 \pm \sqrt{8}}{2}[/tex]

x = -3 ± √2

D.) x²−6x+7=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{6 \pm \sqrt{8}}{2}[/tex]

x = 3 ± √2

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Simplify (-2)^4
A.) -16
B.) -8
C.) 16​

Answers

You can really just use a calculator...........
16.

Answer:

A. negative sixteen

6.) 92% of 58 is what?

Answers

Answer: 53.36

Step-by-step explanation:

6th grade math I mark as brainliest

Answers

Answer:FalseHope this helps!!

Answer:

false

Step-by-step explanation:

Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401

so

[tex]16^1[/tex] would just be sixteen  because any number to the power of 1 is that number

[tex]8^2[/tex] is 8*8 which gives us 64,

16 does not equal 64, so its

False

can you substarct in any orde?

Answers

Yes but you will end up with a negative number
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