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julsineya [31]
3 years ago
7

for the graph, complete the following (a) write a table of ordered pairs from the graph. (b) write an equation from the table. (

c) state which variable is the independent variable and which is the dependent variable. (1,3) (2,6) (3,9) (4,12) (5,15) (6,18)
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

(a) The table of the ordered pairs is given as:

x-values          1            2            3            4            5             6

y-values           3            6            9           12           15            18

(b)

We find the equation from the table using the slope intercept form.

Let y=mx+c

on using the first column i.e x=1 and y=3 we have equation as:

3=m+c-------(1)

on using the second column i.e. x=2 and y=6

we have 6=2m+c---------(2)

on subtracting equation (1) from equation (2) we get:

m=3

and finally on putting value of m in equation (1) we get c=0

Hence, the equation of the line is y=3x.

This equation holds for all the points.

(c)

<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.




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Answer:

6\frac{4}{7}

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

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2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

69 * 20 / 21 * 10 = 1380/210

3. Now I can simplify this value and convert it into a mixed fraction

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Which statement correctly compares the mean number of students for the data in the plots?
satela [25.4K]

Answer:

<em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

Step-by-step explanation:

We need to compute the mean for each.

<u>Poplar Middle School:</u>

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

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<u>Oak Middle School:</u>

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

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The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - <em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

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Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
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Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

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