Which is an equation in terms of x and y for this function? graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).

Answers

Answer 1

Answer:

y = 1/2x + 10  

Step-by-step explanation:

I'm not sure if this is right but:

First you work out the gradient of the line which is the difference in y divided by the difference in x:  

Gradient = (14 - 11) ÷ (8 - 2) = 3 ÷ 6 = 1/2    

the gradient is 1/2 so you'd write that as: y= 1/2x + c

Then you need to work out the y-intercept ( c )  

You do this by substitution:

14 = 1/2(8) + c

14 = 4 + c

c = 10

So the y-intercept is 10 so you'd write that as:

y = 1/2x + 10


Related Questions

Give an example of a function g(x) such that has vertical asymptotes at x = −1 and x = 2.

Answers

Answer:

[tex]\frac{69420}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.

Please SHOW YOUR WORK!

Thanks In Advance, Will Mark Brainliest!
(already asked this question before and wasted 20 points due to spammers. pls actually answer)

Answers

Answer:

x2= 0.11111111111   y+5= -9

Step-by-step explanation:

x2= 0.11111111111

replace x with 1/3 then multiply 1/3 by 1/3 which equals 0.11111111111

x2

1/3 2

1/3 x 1/3= 0.11111111111  

y+5

replace y with -14 then add - 14 with 5 which really is subtracting -14 with 5. Which gives you -9.

I'M SORRY BUT I CAN'T ANSWER THE THRID QUESTION. HOPE THIS HELPS!

If you know the answer your a genius at math^

Answers

Answer: I think its B

Step-by-step explanation: hoped this helped :)


[tex]2x - 5 \leqslant 6[/tex]


Answers

Answer:

Step-by-step explanation:

2x - 5 ≤ 6

Add 5 to both sides

2x -5 +5 ≤ 6 +5

2x ≤ 11

Divide both sides by 2

2x/2 ≤ 11/2

x ≤ 5.5

Are these fractions equivalent or nonequivalent? 2/3 8/12

Answers

Answer:

The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent

Step-by-step explanation:

Answer:
Equivalent

Explanation:
2 x 4 = 8
3 x 4 = 12

R9.80 ?
½
What is 1
[tex] \frac{1}{2} \div 9.80 = [/tex]

Answers

I don’t know what you mean but when you solve 1/2 / 9.80 you get 4.9

Which line plot shows the data?

Answers

Answer:

it is B

Bbbbbbbb

The line plot shown C in the figure is correct.

What is line plot?

A line plot is a way to display data along a number line. Line plots are also called dot plots. Below is an example of a line plot showing the distance 17 turtles traveled in an hour (we know it is 17 turtles because there are 17 dots on the line plot).

here, we have,

Given that the recorded lengths of ribbon pieces which is used in project is given..

Frequency refers to the number of times an event or  value occurs. A frequency table is a table that lists items and shows how many times those items occurred.

A line plot displays the data using a no. line.

Firstly, we will fimd the frequency of each value

Values                               Frequency

9 (7/8)                                        1

10(4/8)=10(1/2)                           1

10(5/8)                                       1

10(6/8)=10(3/4)                          1

10(7/8)                                       1

11(2/8)=11(1/4)                             3

Option A is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option B is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option C is correct because the frequency distribution of the data is represented correctly in the line plot.

Option D is incorrect because 11(2/8) has 2 data values in the line plot (i.e., frequency = 2)

Hence, the line plot which correct shows the data is third line plot.

Learn more about line plot from here

brainly.com/question/8989301

#SPJ2

Please help me with this!

Answers

9514 1404 393

Answer:

  y ≥ -2/3x +2

Step-by-step explanation:

The y-intercept of the boundary line is y=2.

The next grid intersection to the right appears to be the x-intercept at x=3, which represents a "rise" of -2 and a "run" of +3 from the y-intercept.

At this point, we know the slope (rise/run = -2/3) and the y-intercept (+2) of the boundary line. We see it is a solid line, and shading is above it. This means the inequality could be ...

  y = mx + b . . . . . . . . . equation for a line with slope m and y-intercept b

  y ≥ -2/3x +2 . . . . . equation for the graphed inequality

__

Alternate solution

We observe that the y-intercept is +2, and the x-intercept is +3. The equation of the boundary line can be written in intercept form as ...

  x/x-intercept = y/y-intercept = 1

As noted above, the line is shaded where both x- and y-values are greater than or equal to those on the line. So, the "intercept form" of the inequality could be ...

  x/3 +y/2 ≥ 1

Often, we don't like fractions, so we can multiply by 6 to put this in standard form:

  2x +3y ≥ 6

_____

Additional comment

Any of these highlighted inequalities is "an inequality" that describes the graph. We don't know if you're required to write the inequality in a specific form.

Simplify 12x . 3X
A.15x
B.15x^2
C.36x
D.36x^2

Answers

Answer:

36x

Step-by-step explanation:

To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x

hope this helped :)

It’s 36 I hope it helps

Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave an explanation)

Answers

Answer:

P(h, k) → P'(k, -h)

Step-by-step explanation:

Rule to be followed,

If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,

P(h, k) → P'(k, -h)  

Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.

You invest $1000 in an accound that pays 7.9% interest, compounded monthly. How much money is in the account at the end of three years?

Answers

Answer:I hope the following example will help you

Step-by-step explanation:

Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

P=$1,000 R=.079 N=12 T=3

The answer should be 1,266.46

1) A sum of money is divided in the ratio 4:3.If
the larger part is $44 1) What is the small part?
2) What is the total amount? *

Answers

Answer:

Smaller part = $33 and total amount = $77

Step-by-step explanation:

Let the numbers be 4x and 3x.

The larger number is $44

ATQ,

44x = 44

x = 11

(1) Smaller number = 3x

= 3(11)

= 33

(2) Total amount

T = 33+44

T = 77

Hence, this is the required solution.

which statement is true about the terms of the linear expression 13-4x in standard form?

A. m=4
B. B=13
C. b= -4
D. The expression is not linear

Answers

Answer:

B) b=13

Step-by-step explanation:

13-4x is the same as -4x+13

Last year, 210 new houses were built in a neighborhood. So far this year, 4/7 of them have been sold. How many new houses have been sold this year?

Write your answer in simplest form​

Answers

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

5. What value of makes a true equivalent fraction statement.
3
36 72

Answers

Answer:

6

Step-by-step explanation:

X=6

You can cross multiply.

72x3=36x

216=36x

216/36=x

6=x

36x 2 = 72
3x 2 = 6
Multiply by 2

Which of these expressions below is less than 345? Select all that apply.
A) 342.35 + 4.19
B) 256.79 + 98.11
C) 356.09 -10.45
D) 419.56 - 75.68
E) 199.75 +143.712​

Answers

Answer:

D and E

Step-by-step explanation: Math

Answer:

d and e

Step-by-step explanation:

419.56-75.68=343.88

199.75+143.712=343.462

Carl paid $40 for 12.5 gallons of gas.After calculating,he said that the cost per gallon was about 31 cents per gallon.Is there anything wrong with Carl's thinking?.​

Answers

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

If jackeline and Raychel decide to watch only the two longest movies and take a 30 minute break in between how much of their five hours while they have left over

Answers

Why are their names spelt like that? It’s jaclyn & Rachel
Not JAISBSKSJ
AND RAISBSMAJSBS

Write 5 +x= 3x2 in standard form.
An equation in standard form is

Answers

Answer:

H⁣⁣⁣⁣⁣ere's l⁣⁣⁣⁣ink t⁣⁣⁣⁣o t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer:

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

Step-by-step explanation:

Find the 12th term of the geometric sequence 8,16,32

Answers

a1 = 8, r = 2
Use formula: an = a1 * r^n-1
a12 = 8 * 2^12-1
a12 = 8 * 2048
a12 = 16384

Good night I will send you a picture ​

Answers

Answer:

goodnight :)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

The discount on a new computer was $150. This was a discount of 23 %. Step 1 of 3: What was the original selling price of the computer? Follow the problem-solving process and round your answer to the nearest cent, if necessary​

Answers

So, it is asking for 150 is 23% of what
So, the answer is 652.17
I think
Hope this helps :D

Answer:

So there is an unknown number to the original price so we replace this as x,

23% of the original price will equal your new discount, now lets write it!:

23/100 x X = 150

x100              x100

23x = 15,000

Divide by 23 on both sides:

x = 652.173 around 652.17 dollars was the original price.

Find the distance between the two point (0,-2) and (8,4)

Answers

Answer:

Distance is 10

Step-by-step explanation:

The x distance is 8 - 0 = 8

The y distance is 4 - (-2) = 6

Full distance is [tex]\sqrt{6^2+8^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

Answer:

The distance between the points is 10.

what will be the distance travelled at 5 seconds. PLEASE ANSWER IT I WILL MARK BRAINLIEST WHOEVER CAN ANSWER THIS PLEASE​

Answers

Answer:

30 m

Step-by-step explanation:

Answer:

it is exactly 80m it is not 30m

what is tariffwhat is tariff ​

Answers

Answer:

Step-by-step explanation:

A tariff is a tax imposed by a government of a country or of a supranational union on imports or exports of goods. Besides being a source of revenue for the government, import duties can also be a form of regulation of foreign trade and policy that taxes foreign products to encourage or safeguard domestic industry

Which of the following is the correct factorization of the polynomial below?
x^3 + 12x² + 36x
A. x(x+6)(x-6)
B. (x2 + 6x-3)(x-6)
C. x(x+6)2
D. (x2 + 6x-3)(x-12)

Answers

Answer:

C

Step-by-step explanation:

[tex] {x}^{3} + 12 {x}^{2} + 36x \\ = x( {x}^{2} + 12x + 36) \\ = x( {x + 6)}^{2} [/tex]

On a recent survey, 70% of those surveyed, said that they preferred drinking Coke instead of Pepsi. If 420 people preferred Cole, how many people were surveyed in all?

Answers

Answer:

600

Step-by-step explanation:

.7x = 420

x = 420/0.7

x = 600

Most adults would erase all of their personal information online if they could. A software firm survey of 699 randomly selected adults showed that ​60% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Answers

Answer:

j

Step-by-step explanation:

Sabrina is making snack mix. She uses the items listed in the table below . Peanuts 5/6 chocolate chips 1/3 granola 1/2 raisins 3/4 what is the total weight of all the ingredients sabrina uses?

Answers

Step-by-step explanation:

5/6 +1/3 +1/2+3/4

Make sure they have a common denominator

In this case the common denominator is 12

So..

5/6 ×2/2...1/3×4/4...1/2×6/6...3/4×3/3

10/12+4/12+6/12+9/12

=29/12

=2&5/12 grams/pounds/ounces?

Solve each equation 24 = 5k - 8k

Answers

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

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