Answer:
x=3 & y=162
Step-by-step explanation:
it may help you
Answer:
Step-by-step explanation:
1. 3x2 + 5x - 4 + 6x2 - x + 7
= combining like terms
= 9x2 + 4x + 3
2. 2y2 - 3y + 6 + y2 - 5y - 1 + (-4) + 2y2 - 2y
= 5y2 - 10y + 1
3. 2x2y - 3xy2 + x2y - 4x2y - 2xy2
= - x2y - 5xy2
4. x2 - y2 + 2x2 - 3xy + 4y2 + 3y2 - 5xy - x2
= 2x2 - 8xy + 6y2
Answer:
In First method : counting up, counting back on a number line,
If we want the quotient after dividing the number by 5 then we count how many 5 we get from 0 to the dividend.
For example : 
Since, from 0 to 30 there are six 5's obtained. ( because 5 × 6 = 30 )
Thus, 
In Second Method : dividing by 10, and then doubling the quotient.
First we divide the number by 10 then multiply the quotient by 2.
For Example: 
Since, 

Thus, 
Now, when we compare the above methods then we conclude that for the smaller numbers first method is appropriate because for small numbers we can easily count total 5's from 0. While for large numbers Second method is appropriate because it is hard to count the total 5's for the large number.
They would be alternate exterior so they would have to to be equal
2k + 11 = 131
-11 -11
2k = 120
---- -----
2k 2k
k = 60
Answer:
numerator degree of freedom = 3
Denominator degree of freedom = 47
Step-by-step explanation:
The numerator degree of freedom is given by :
p - 1 ; where p = number of predictors ;
p = number of independent variables + 1
Number of independent variables = 3
p = 3 + 1 = 4
Numerator degree of freedom = p - 1 = 4 - 1 = 3
The denominator degree of freedom = n - p ; where n = number of observations
Number of observations, n = 51
Denominator degree of freedom = n - p = 51 - 4 = 47