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Zolol [24]
1 year ago
15

What is the equation of the line represented by the table below? X -2 -1 0 1 2 - y 16 11 6 1 -4 O A. y = -5x+9 OB. y = -5x+6 O C

. y = -5x+3 D. y = -3x-5 4​
Mathematics
1 answer:
Nina [5.8K]1 year ago
5 0

Option (c) is the correct answer

The equation y = -5x + 6 is represented by the given table i.e.

x   -2   -1   0   1   2

y   16   11   6   1  -4

Given, a table

x   -2   -1   0   1   2

y   16   11   6   1  -4

Now, we have to find the equation of the line, satisfying the given values

As, the equation

y = -5x + 6 satisfying the given set of values,

So, the equation y = -5x + 6 is represented by the given table.

Hence, the equation y = -5x + 6 is represented by the given table.

Learn more about Linear Equations here here brainly.com/question/2030026

#SPJ9

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serg [7]

A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.

For example, consider the table

input .... output

.. 1 ............ 3

.. 3 ........... -5

The average rate of change between these input values is

... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.

6 0
3 years ago
Tell whether the angles are complementary or supplementary. Then find the value of x.
Genrish500 [490]

Answer:

x = 33

Step-by-step explanation:

Two angles are complementary as the sum of two angles is 90

x + 24 + x = 90        {Combine like terms}

  2x + 24 = 90      {Subtract 24 from both sides}

          2x  = 90 - 24

         2x   = 66

          x   = 66/2

         x = 33

7 0
3 years ago
Is this expression fully simplified? Explain<br> 4x2 + 10 - x - 6x3
tankabanditka [31]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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The table shows the number of medical clinics and the number of bowling alleys in several cities.
DedPeter [7]

Answer:

Step-by-step explanation:

a) to create a scatter plot for the data, let data for clinics be x and that one for Bowling alleys be y then plot x values with corresponding y values on a graph tool.

<u>x                     y</u>

14                   12

1                      3

6                     6

5                     7

10                    7

6                      8

11                      9

8                      15

6                       7

16                     12

The scatter plot is attached below

b) a cluster is a group of data that is close together. From the plot, the ordered pairs forming a cluster are;

(6,6), (6,7), (5,7), and (6,8)

c) An outlier is a point in a plot which lies very far from the other values. In this case, point its  point (8,15)

d)The linear regression equation is one written in the form of

Y=a+bX where ;

Y=the dependent variable

X=the explanatory variable

a=the intercept, which is the value of y when x=o

b=slope of the line

The formula to apply here is ;

a=(∑y)(∑x²)-(∑x)(∑xy) / n(∑x²)-(∑x)² where n is number of samples

b= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²

Form a table like below

<u>x                     y               xy               x²                 y²</u>

14                   12              168            196              144

1                      3                 3               1                   9

6                     6                 36            36                 36

5                     7                 35             25                49

10                    7                 70             100              49

6                      8                 48             36              64

11                      9                99             121               81

8                      15               120             64            225

6                       7                42               36              49

16                     12                192            256            144

83                     86              813           871               850------------sum

∑x=83   ∑y=86  ∑xy=813  ∑x²=871  ∑y²=850 and n=10

Applying the formula

a=(∑y)(∑x²)-(∑x)(∑xy) / n(∑x²)-(∑x)²

a=[(86 * 871) - (83*813) ]/ 10 (871-83²)

a=[74906 - 67479] / 10(-6018)

a=[7427] / -60180

a= - 0.1234

b= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²

b=10(813)-(83*86) / 10 (871)-(83²)

b=[8130-7138] / 8710 -6889

b= 992/1821

b=0.5448

The liner regression equation will be;

Y=a+bX

Y= -0.1234 + 0.5448 X

e) correlation coefficient r is given by;

r= n∑xy - (∑x)(∑y) / √n(∑x²)-(∑x)² × √n(∑y²)-(∑y)²

r=10*813 - (83*86) / √10 *871 -83² ×√10*850 - 86²

r=8130-7138 / √8710-6889 × √8500-7396

r= 992 / (√1821 × √1104)

r=992/ 42.67×33.23

r=992/1417.9

r=0.6996

f) r² is important because it shows you the proportion of the variance of one variable that is predictable from the other variable.

r=0.6996

r²=0.6996² =0.4894

8 0
3 years ago
Read 2 more answers
Please help, I don’t understand how to get this please explain. Ill give brianliest.
Ulleksa [173]

Answer:

D 22.5CM

Step-by-step explanation:

7 0
3 years ago
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