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Arisa [49]
2 years ago
7

Find an expression which represents the difference when (10x+6y) is subtracted from (6x-8y) in simplest terms

Mathematics
2 answers:
Anna007 [38]2 years ago
6 0

Answer:

x−14y

Step-by-step explanation:

(7x−8y)+(−6x−6y)

The "sum" is the result of addition

7x-8y-6x-6y

7x−8y−6x−6y

Remove parentheses

7x−8y−6x−6y

Identify like terms

7x−6x−8y−6y

Commutative property

7x−6x  

−14y

−8y−6y

​

Combine like terms

1x−14y

x−14y

Coefficient of 1 isn't needed

Tema [17]2 years ago
3 0

Answer:

4x+2y

Step-by-step explanation:

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Step-by-step explanation:

To get the answer just use the numbers from the table which you have stated and you are right, you do get a long decimal.

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3 years ago
Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
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<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


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Step-by-step explanation:

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