What is the function
X
- 1
0
1
2
3
у
-1
-0.5
0
0.5
1
The table represents
a linear function.
Write the function.
y=

What Is The Function X- 10123-1-0.500.51The Table Representsa Linear Function.Write The Function.y=

Answers

Answer 1

Answer:

Step-by-step explanation:

x                y               Difference (d)

-1              -1                       -

0             -0.5             -0.5 - (-1) = 0.5

1                 0               0 - (-0.5) = 0.5

2              0.5              0.5 - 0 = 0.5

3                1                 1 - 0.5 = 0.5

There is a common difference (d) = 0.5

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here, m = Slope and b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Two points from the given table are (-1, -1) and (0, -0.5)

m = [tex]\frac{-0.5-(-1)}{0-(-1)}[/tex]

m = 0.5

Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)

Therefore, equation of the line will be,

y = 0.5x - 0.5


Related Questions

HELP ME PLEASEE PLSSS

Answers

Answer:

4.2

Step-by-step explanation:

hope this helps :)

Answer:

4.2

Step-by-step explanation:

it would be 2.40 plus 1.80

1

 2.40

+ 1.80

———

4.20

graph the new image jkml after a dilation with a scale factor of 1/4 centred at the origin

Answers

Answer:Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Step-by-step explanation:

1.111 × 10^3
rewrite in standard notation

Answers

Step-by-step explanation:

1.111 × 10^3=1111

hope it helps

Describe the location of the point having the following coordinates.

negative abscissa, positive ordinate

Quadrant I
Quadrant III
Quadrant II
Quadrant IV

Pleaseee help :(

Answers

Answer:

Step-by-step explanation:

If -x,y that would be Quadrant 2


Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5

Answers

I think it is C so it would be 4
the answer would be c. 4

need help fast thank you

Answers

Answer:

422.5

Step-by-step explanation:

Given,

Diameter = 23.2

Radius = 23.2 ÷ 2 = 11.6

So, Area is

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 11.6 \times 11.6[/tex]

= 422.5184

As rounding to nearest tenth we check the hundreth digit i. e.

422.5184

Since, 1 is smaller than 5 so,

422. 5 (Ans) (Rounded to nearest tenth)

A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is $ 8, and tickets cost $ 23 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

I don’t understand this I would like for someone to help me real fast

Answers

Answer:

16.2

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

10 squared = 100

19 squared = 361

361 - 100 = 261

square root of 261 = 16.2

[tex]10^{2} + 16.2^{2} = 19^{2}[/tex] is the equation

hope this helps

Mark brainliest please

Answer:

They say.. use Pythagorean theorem formula.... what is it?  :)  you have to remember it.    I'll put it below in case you don't remember  

Step-by-step explanation:

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] +[tex]B^{2}[/tex]

and I know, you're thinking..... what's the deal with all the letters... how do I add those up? :D .....  you are right... you can't add letters... the letters are just the variables... or places holders for numbers... you can put many different numbers into each of them but... the relationship.... which is made by the equal sign.. must hold true for any numbers you put in for the variables.... sooo.. like this.. for your particular answer

[tex]19^{2}[/tex] = [tex]10^{2}[/tex] + [tex]y^{2}[/tex]  

( notice I've put in a  " y " , where there is a B in the formula above but that's just a letter... again.. which is just a variable... the place holder for a number...  soooo..... )

361 = 100 + [tex]y^{2}[/tex]        ( subtract 100 from each side of the " = "  )

261 = [tex]y^{2}[/tex]                 ( to undo the square on the wye... square root both sides)[tex]\sqrt{261}[/tex] = y  

my calculator tells me that [tex]\sqrt{261}[/tex] = 16.15549442

they say round to the nearest 10th... soooo..

16.2  is  the answer  :)

the lablel on a 1/2- pound bag of wildflower seeds states that it will cover an area of 375 square feet . based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover.​

Answers

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

What's the slope of the line?

Answers

Answer:

3

Step-by-step explanation:

lets just take two random points that are on the line ( it doesn't have to be a specific point)

(-2,0) and (-1 , 3) cuz why not

we need to find the difference of both the y coordinates divided by the difference of both the x coordinates

0-3  /  -2  -  (-1)

-3 / -1

3/1 = 3

Answer:

choose two random points of the line and....

slope of line=3

Step-by-step explanation:

In the photo

Explain how to find the value of y in the equation 6(y+4)=12

Answers

Answer:

y=-2 (Please can i have brainliest????)

Step-by-step explanation:

There are different ways to do this but my way, you would distribute 6 to both y and 4, ending up with 6y+24=12. You then subtract 24 from both sides giving you, 6y=-12. Then divide both sides by 6, giving you y=-2

Answer: y=-2

Step-by-step explanation:

First, you would distribute the 6 to both the y and the 4 which would give you 6y+24=12

Then you would subtract 24 from 12 to get -12 ( it would look like 6y= -12 after)

Finally, you would take -12/6 to get -2 so y = -2

Help quickly pls! ill mark brainliest

Answers

Answer:

C. 14; it raises the man by about 1.9

Step-by-step explanation:

25+25+25+25+25+25+25

Answers

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175

Torrie could buy 8 jars of peanut butter for 27.12 or 7 jars of peanut butter for 26.53 what is the difference in the unit rates of the jars of peanut butter?

Answers

Answer:

The difference in the unit rates of the jars of peanut butter is 0.4.

Step-by-step explanation:

In order to find the unit rates, you have to divide each price for the amount of units purchased with that price, which is:

27.12/8=3.39

26.53/7=3.79

Now, that you have the unit rate for each case, you have to subtract 3.39 from 3.79 to find the difference in the unit rates:

3.79-3.39=0.4

According to this, the answer is that the difference in the unit rates of the jars of peanut butter is 0.4.

Belinda bought a car one year ago.
The value of this car has decreased by 15% to $14025.
Calculate how much Belinda paid for the car.

Guys please help me with the homework it’s available for me during the day only.

Answers

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Diana went fishing for 3 7/12 hours on Friday. She fished for 2 5/6 hours on Saturday. Estimate how long Diana went fishing on Friday and Saturday combined

Answers

Answer:

T = 6.41 hours

Step-by-step explanation:

Fishing for Friday =  3 7/12 hours

Fishing for Saturday  =2 5/6 hours

We need to find for how long Diana went fishing on Friday and Saturday combined. It means we need to add the time for Friday and Saturday. So,

[tex]T=3\dfrac{7}{12}+2\dfrac{5}{6}\\\\=\dfrac{3(12)+7}{12}+\dfrac{2(6)+5}{6}\\\\=\dfrac{43}{12}+\dfrac{17}{6}\\\\=6.41\ \text{hours}[/tex]

So, the combined timing is 6.41 hours.

Please help me and type out the answer

Answers

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $106,200?

Answers

Answer:17

Step-by-step explanation:

The time taken for her to reach the amount of $106,200 will be 17 years.

What is compound interest?

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that:-

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously.

The formula for calculating the compound interest continuously.

[tex]A \ = \ P e^ {rt}[/tex]

[tex]106200\ = \ 54000e^{0.04t}\\\\\\\dfrac{106200}{54000}=e^{0.04t}\\\\\\1.97\ = \ e^{0.04t}\\\\\\Ln(1.97)=Ln(e^{0.04t})[/tex]

Ln(1.97) = 0.04t

t  =   17 years.

Therefore the time taken for her to reach the amount of $106,200 will be 17 years.

To know more about Compound interest follow

https://brainly.com/question/24924853

#SPJ2

The cafeteria sells, at most 200 meals at day. The daily profit is moderate by p (m)=2.25m-85 where the profits a function of the number of meals sold. If the cafeteria sold 189 meals ,how much profit did they make?

Answers

Answer:340.25

Step-by-step explanation:

Given

Daily profit is given by

[tex]p(m)=2.25m-85[/tex]

If the number of meals sold is 189

Put [tex]m=189[/tex] in profit function

[tex]\Rightarrow p(189)=2.25\times 189-85\\\Rightarrow p(m)=425.25-85=340.25[/tex]

Your answer should contain only positive exponents.

Answers

Answer:

[tex]\frac{1}{7^3}[/tex]

Step-by-step explanation:

[tex]7^1/7^4\\= 7^1^-^4\\= 7^-^3\\= \frac{1}{7^3}[/tex]

The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.

Answers

Given:

The product of two consecutive numbers is 72.

To find:

The two numbers by using the quadratic equation.

Solution:

Let the two consecutive numbers are x and (x+1).

The product of two consecutive numbers is 72.

[tex]x(x+1)=72[/tex]

[tex]x^2+x-72=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x-8x-72=0[/tex]

[tex]x(x+9)-8(x+9)=0[/tex]

[tex](x+9)(x-8)=0[/tex]

Using zero product property, we get

[tex]x+9=0[/tex] and [tex]x-8=0[/tex]

[tex]x=-9[/tex] and [tex]x=8[/tex]

If [tex]x=-9[/tex], then

[tex]x+1=-9+1[/tex]

[tex]x+1=-8[/tex]

If [tex]x=8[/tex], then

[tex]x+1=8+1[/tex]

[tex]x+1=9[/tex]

Therefore, the two consecutive numbers are either 8,9 or -9,-8.

At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal

Answers

Answer:

Step-by-step explanation:

24/40=60%

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

Help! Check if my answer is right please, I’m marking brainliest!!!

A. 46.1
B. 50.1 - (my answer)
C. 76
D. 54.2

Show work, if possible. Thanks❤️

Answers

Answer:

I agree with you its b

Step-by-step explanation:

can you help me asap please

Answers

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

PLS HELP I WILL MARK BRAINLIEST!!​

Answers

Answer:

28

Step-by-step explanation:

I think

A= 1/2 bh

A= 1/2 (14)(4)

A= 56/2

A= 28

Guys please, please help!!
Answer properly!!

1. What is the domain? range?

2. Does the relation represent a liner equation? Why?

Answers

9514 1404 393

Answer:

  1. domain and range are all real numbers

  2. the relation is linear

Step-by-step explanation:

When the graph of a function is a straight line, the relation is linear. (That's what linear means.)

A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."

Answer:

1. Domain : all the real numbers

Range = all the real numbers

yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)

A) 5/13
B) 5/12
C) 12/13
D) 12/5​

Answers

Answer:

the answer would be C.... 12/13

Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system

Answers

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

Triangle A'B'C' is the result of translating ABC by 6 units to the right and 2 units down. Select all of the correct statments about the unchanged properties of ABC and A'B'C'​

Answers

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

Help I will be marking brainliest!!!

A. 102.5°
B. 310°
C. 77.5°
D. 53.5°

Show work, if possible. Thanks❤️

Answers

Answer:

brainliest please

okay so angle O is connected to arc GU. to find angle O you musit find Arc GU

if Arc GO is 48 degrees and arc OU is 107 degrees, then you add those together.

107 +48=155

a circle has a total of 360 degrees

so 360-155= 205

205 is arc GU

205 divided by 2 will give you angle O

O is 102.5 degrees

Step-by-step explanation:

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