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Answer 1

The equation of the linear function in slope-intercept form is  [tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of a linear function can be written in the slope intercept form as:

f(x) = mx + b,

where,

m represents the slope of the linear function

b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)

we need to find the value of m and b to be able to write the equation of the linear function.

Find slope (m):

From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).

Slope (m) = rise/run

Substitute:

Slope (m) = 3/6

m = 1/2

Find the y-intercept (b):

From the graph, the line cuts the y-axis at y = -5.

Therefore,

b = -5

Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:

[tex]f(x) = \frac{1}{2}x - 5[/tex]

The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]

Learn more about how to write the equation of a linear function here:

https://brainly.com/question/12184348

Help This Needs To Be Answered

Related Questions

Find the slope of the line that passes through the points (2, 1) and (-1,-1).

Answers

Answer:

slope is ⅔

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1}}{x _{2} - x_{1} } \\ \\ = \frac{ - 1 - 1}{ - 1 - 2} \\ \\ = \frac{ - 2}{ - 3} \\ \\ = \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

We can us the slope formula

m = ( y2-y1)/(x2-x1)

   = (-1 -1)/(-1 -2)

    = -2 / -3

   = 2/3

If f(x) = -5x – 4 and g(x) = -3x -2, find (f+g)(x).

Answers

Answer:

-8x -6

Step-by-step explanation:

f(x) = -5x – 4

g(x) = -3x -2

(f+g)(x)  = -5x – 4  +  -3x -2

Combine like terms

            = -8x -6

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

<ADC=90

therefore AC= 20 using Pytagoras

BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²

3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.

Please look at picture and answer question with full explanation

Answers

Answers:

44 small cartons176 medium cartons44 large cartons3256 eggs in total

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

Explanation:

1/6 of the total number of cartons are small. We have 264 total cartons, so,

1/6 of 264 = (1/6)*264 = 44

We need 44 small cartons.

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

2/3 of the total cartons are medium, so,

2/3 of 264 = (2/3)*264 = 176

There are 176 medium cartons.

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

So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.

This must mean there are 264 - 220 = 44 large cartons

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

Now because:

A small carton holds 8 eggsA medium carton holds 12 eggsA large carton holds 18 eggs

and

There are 44 small cartonsThere are 176 medium cartonsThere are 44 large cartons

This means we have

8*44 = 352 eggs from just the small cartons12*176 = 2112 eggs from just the medium cartons18*44 = 792 eggs from just the large cartons

Ultimately, we have 352+2112+792 = 3256 eggs in total.

Solve for x : 2|x-1|+5<13

Answers

Hi there!

2|x - 1| + 5 < 13

Begin by subtracting 5 from both sides:

2|x - 1| < 8

Divide both sides by 2:

|x - 1| < 4

Find both the positive and negative solutions:

x - 1 < 4

x < 5

-(x - 1) < 4

-x + 1 < 4

-x < 3

x > -3

[tex]Hello[/tex] [tex]There![/tex]

Let's solve your inequality step-by-step.

[tex]2(|x-1|)+5<13[/tex]

Step 1:

You must add -5 both sides.

[tex]2(|x-1|)+5+-5<13+-5[/tex]

[tex]2(|x-1|)<8[/tex]

Step 2:

You must divide both sides by 2.

[tex]\frac{2(|x-1|)}{2}[/tex] [tex] \leq \frac{8}{2}[/tex]

[tex]|x-1|<4[/tex]

Step 3:

Solve the Absolute Value.

[tex]|x-1|<4[/tex]

We know that x−1<4 and x−1>−4.

[tex]x-1<4[/tex] Condition 1.

[tex]x-1+1<4+1[/tex] (Add 1 to both sides)

[tex]x<5[/tex]

[tex]x-1>-4[/tex] (Condition 2)

[tex]x-1+1>-4+1[/tex] (Add 1 to both sides)

[tex]x>-3[/tex]

[tex]ANSWER![/tex]

[tex]x<5[/tex] [tex]and[/tex] [tex]x>-3[/tex]

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

Find the standarddeviation of 125, 136, 150, 119, 150, and 143.

Answers

Answer:

S.D=46.04

Step-by-step explanation:

steps are in the picture.

If you have question about it you can ask.Thanks

Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}

Answers

Answer:

The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)

you add them then divide by 22 since it has 22 terms, to find the mean

Answer:

use a calculator and add all values and divide by 22

u et final value as ( as per me not sure..maybe mistake) is

493.6/22 and ans Is 22.4363636364

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

B

Step-by-step explanation:

we have a formula of volume:

V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08

Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12​

Answers

Answer:

r÷12

Step-by-step explanation:

quotient means division

r÷12

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time. A random sample of 7 parts produced by this machine is chosen. Find the probability that more than 1 of these parts are defective.

Answers

Using the binomial distribution, it is found that:

0.3677 = 36.77% probability that more than 1 of these parts are defective.

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

For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of a success.

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.

This means that [tex]p = 0.18[/tex]

A random sample of 7 parts produced by this machine is chosen.

This means that [tex]n = 7[/tex]

Find the probability that more than 1 of these parts are defective.

This is:

[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]

In which

[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]

[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]

Then

[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]

[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]

0.3677 = 36.77% probability that more than 1 of these parts are defective.

For more on the binomial probability distribution, you can check https://brainly.com/question/15557838

If SP = Rs 100 and CP = Rs 800 find profit %. ​

Answers

Answer:

c

Step-by-step explanation:

Phoebe took a survey of her classmates' favorite sport. The results are in the table below:

What is the relative frequency of survey members who prefer football?

Answers

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

To know about frequency distribution, here

brainly.com/question/1094036

#SPJ4

Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?

Answers

Answer:

1.9 pounds

Step-by-step explanation:

To solve this divide the amount of sugar by the number of dollars:

19 pounds / 10 dollars = 1.9 pounds per dollar

Per 10dollar she brought=19pounds

Per dollar

[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]

Write in decimals

[tex]\\ \sf\longmapsto 1.9pounds[/tex]

10. I purchased a hair-dryer for 5,400 including 8% VAT. Find the price before VAT was added.

Answers

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

A school made $880 from ticket sales for the school play. From the ticket sales, $250 were from adult tickets.
Student tickets are $5 each. How many students attended the play?

Answers

Answer:

126 Students

Step-by-step explanation:

First, you subtract the money from the adult tickets from the total ($880), that leaves $630.

Since each student ticket is $5, you divide $630 by 5, which equals 126.

So, 126 students attended.

Answer:

126

by-step explanation:

880 is that amount made in total.

250 were adults.

we can subtract that to simplify; 880-250= 630

Knowing that information we can assume the rest of the tickets are students.

5$ each.

5/620

How many 5s go into 630? 126.

Check your answer by multiplying 126 by 5, which = 630.

630+250=880.

Find the area of the shape. Kahn Academy
Oh

Answers

Answer:

84.78 units²

Step-by-step explanation:

First we must calculate the total area of the circle :

A = pi.r²

= 3.14×36

So total area = 113.04 units²

Then we must divide this area by 4 and subtract it form the total area

113.04÷4 =28.26

The area of the shape = 113.04-28.26

= 84.78 units²

The sum of two numbers must be 24 or greater. The product of the two numbers must be less than 60. Which system of inequalities represents this situation?

A
{x+y≥24xy<60

B
{x+y>24xy<60

C
{x+y≥24xy<60

D
{x+y>24xy<60

Answers

Answer:

A

Step-by-step explanation:

The sum means +, 24 or greater means ≥ 24

The product means multiplying. less than 60 means < 60

I don't really know how else to explain, so if you still don't understand, sorry.

I hope this helps!

pls ❤ and mark brainliest pls!

What is the only temperature that is the same in Fahrenheit and Celsius?

Answers

Answer: -40 °C and -40 °F.

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Let the temperature be x which is the same in Fahrenheit and Celsius. Then it must satisfy the Fahrenheit and Celsius conversion formula which is (Fahrenheit-32)*(5/9)=Celsius

x=(x-32)*(5/9)

9x=5x-160, x=-40


Write a verbal expression for (c-2)d

Answers

Answer:

the sum of c minus 2 multiplied by d ------> (c-2)d

Find the midpoint of the segment with the given endpoints.
(3,- 9) and (4, -8)

Answers

(3,-9)(4,-8)

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]

Please help I have no idea

Answers

Answer:

38

Step-by-step explanation:

Put 2 in place of q

(34+18×2)-(5^2+7)

(34+36)-(25+7)

70-32=38

10.5125 rounded to the nearest cent plz help me ty <3

Answers

Answer: your answer should be 10.5130

Step-by-step explanation:

PLEASE ANSWER WITH ALL THE MATH
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?

Answers

9514 1404 393

Answer:

Jacob: 4his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

currently:

  M = 3 +9J

in 11 years:

  M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

  (3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

  9J +14 = 3J +38 . . . . . . simplify

  6J + 24 . . . . . . . . . . subtract 3J+14

  J = 4 . . . . . . . . . . divide by 6

  M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

In a competition, four of the participants have completed their performances. Their scores are 9.61, 9.66, 9.64, and 9.60. The highest score wins. Which score will enable the last participant to win the competition?
9.67
9.65
9.62
9.06

Answers

For some reason, the scores your teacher gave you and the answer choices don't match up. I'm not sure why this is. Perhaps some kind of typo. Please double check and get back to me.

3. What is the length of LM?

Answers

Answer:

24[tex]\sqrt{3}[/tex]

Step-by-step explanation:

KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a

|KL| is given as 48 so 2a = 48 and a = 24

ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]

since a = 24

a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]

Help please, would be much appreciated

Answers

P’ is at (10,3), Q’ is at (3,3), and R’ is at (10,9). I hope this helped!

HELPPPPP PLEWSE POINT SLOPE FORMULA

Answers

Answer:

y = -3/4(x+4)

Step-by-step explanation:

The point slope formula is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = -3/4(x - -4)

y = -3/4(x+4)

Answer:

y + 0 = - 3/4 (x + 4)

Step-by-step explanation:

Point-Slope Formula: y - y1 = m (x - x1)

Where y1 is the first y in the first point, m = slope and x1 is the first x in the first point.

Thus, with all this information, the point-slope formula for this situation will be:

y + 0 = - 3/4 (x + 4)

HELP FAST 100 POINTS
Calculate the perimeter of parallelogram ABCD. Show all work.

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]|AD|^2=(3-(-1))^2+(0-(-1))^2=16+1=17\\\\|AB|^2=1^2+3^2=10\\\\\boxed{Perimeter=2*\sqrt{17} +2*\sqrt{10}}[/tex]

Answer:

2*√10 + 2*√17

Step-by-step explanation:

In order to find the perimeter we must find the length of each side

To find the length of the sides we must use the distance formula

Distance formula:

d = √ ( x2 - x1 )² + ( y2 - y1 )²

Where the x and y values are derived from the points of each side

First let's find the length of AB

Coordinates of A: (-1,-1)

Coordinates of B: (0,2)

* Define variables *

( Remember coordinates are written as (x,y))

x1 = -1

x2 = 0

y1 = -1

y2 = 2

Now to find the length of AB we simply plug in the values of x and y into the distance formula

d = √ ( x2 - x1 )² + ( y2 - y1 )²

x1 = -1, x2 = 0, y1 = -1, y2 = 2

* Plug in values *

d = √(0 - (-1))² + (2 - (-1))

If there are two negative signs in front of a number then the two negative signs cancel out and the sign changes to +

d = √(0+1)² + (2+1)²

Simplify addition

d = √(1)² + (3)²

Apply exponents

d = √1 + 9

Simplify addition

d = √10

So the length of AB is √10

One of the properties of a parallelogram is that the opposite sides are congruent.

So the opposite side of AB (CD) is also equal to √10

Next we need find the length of AD

We use the same process we used for finding the length of AB

Coordinates of A: (-1,-1)

Coordinates of D: (3,0)

*Define variables*

x1 = -1

x2 = 3

y1 = -1

y2 = 0

Plug in the values of x and y into the formula ( formula is d = √ ( x2 - x1 )² + ( y2 - y1 )² )

*Plug in the values of x and y )

d = √( -1 - 3 )² + ( 0 - (-1)²

Simplify subtraction and addition

d = √(-4)² + (1)²

Apply exponents

d = √16 + 1

Add

d = √17

So the length of AD is √17

Like stated previously opposite sides in a parallelogram are congruent so the opposite side of AD (BC) also has a length of √17

Now to find the perimeter,

The perimeter is the sum of the side lengths

Side lengths of the parallelogram shown:

AB = √10

BC = √17

CD = √10

DA = √17

Perimeter = √10 + √17 + √10 + √17 = 2*√10 + 2*√17

On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.

Find the mean travel time for these students.

4, 11, 14, 9, 4, 8

Answers

The mean would be 8.33

4. Which of the following is true?

Answers

I think the answer to the question is b
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