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SVEN [57.7K]
2 years ago
15

Write an equation in standard form for the line that passes through the given points.

Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0

So, pretend this is your x-axis and y-axis:

                                   I

        I

   (-2,7) •  I

        I

        I       • (2, 5)

        I

        I

        I  

        I

 _________________I____________________

        I

        I

        I

TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF  (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:

y = -1/2x + 6

TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:

y = -1/2x + 6

+1/2x   + 1/2x

1/2x + y = 6 .... and that is your answer!

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PLEASE HELP!!
Elena L [17]
Part A:
For this one, you have to find the median. So first you would put them in order from least to greatest. After you do that you should get,

TEAM L: 4, 4.8, 9, 9.4, 9.75, 13, 17  
TEAM M: 3.2, 6, 6.25, 8, 9.5, 9.7, 14
TEAM N: 1, 4.75, 5.6, 13, 14.5, 19, 20
 next go from side to side crossing them out evenly till you get to the number in the center.
TEAM L: 9.4
TEAM M: 8
TEAM N: 13
the question asks which team scores more consistently so that would be the team with the highest marking which is team n

so your answer for part A is TEAM N would be awarded the team with the most consistent scoring



part B: you find the average by finding the mean. To find the mean you must add all the numbers up and then divide by how many numbers there are. First we are going to add them up,

TEAM L: 4+17+13+9.4+9+9.7+4.8 = 66.95
TEAM M: 6+14+8+9.7+9.5+6.25+3.2 = 56.65
TEAM N: 1+20+19+13+14.5+4.75+5.6 = 77.85

lastly since all of them consist of 7 numbers, you will divide all the solutions by 7 giving you,

TEAM L: 9.56 (rounded)
TEAM M: 8.09 (rounded)
TEAM N: 11.12 (rounded)

the question asks which team has the higher average score, therefore TEAM N would be the answer since it consist of the highest number.

so your answer for part B is TEAM N would be awarded the team with the highest average score.


ANSWERS....................

PART A: TEAM N would be awarded the team with the most consistent scoring.

PART B: TEAM N would be awarded the team with the highest average score.



5 0
3 years ago
Write the linear equation that gives the rule for this table.
Harlamova29_29 [7]

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:

8 0
2 years ago
Which function is represented by the graph below?
Bad White [126]
Good day ~_~ /////////////

6 0
3 years ago
Read 2 more answers
Use synthetic division to find the result when 3x^3 + 13x^2 + x – 12 is divided by<br> X + 4.
IgorC [24]

Answer:

3x² + x - 3

Step-by-step explanation:

The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division

Pretend the square root of the division symbol

-4 √ 3 12 1 -12

Quick note: We're dividing by -4 because we're dividing by x + 4

First bring down the 3

-4 √ 3 13 1 -12

      3

Multiply it by 4 then bring add it to the next number

-4 √ 3 13 1 -12

          -12

       3   1

Add that number to the next one

-4 √ 3 13 1 -12

        -12 -4

      3    1   -3

Finally repeat the step for the last number

-4 √ 3 13 1 -12

       3 -12 -4 +12

       3    1   -3   0

Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on

3x² + 1x - 3

8 0
2 years ago
Fast-Food Bills for Drive-Thru Customers A random sample of 49 cars in the drive-thru of a popular fast food restaurant revealed
sergeinik [125]

Answer:

sample mean:: 17.92

ME = z*s/sqrt(n) = 1.8807*6.35/sqrt(47) = 1.7421

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

Step-by-step explanation:

6 0
2 years ago
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