Answer:
4
Step-by-step explanation:
The y-variable can be eliminated by adding 3 times the first equation to the second:
3(2x -y) +(x +3y) = 3(11) +(-5)
7x = 28 . . . . simplify
x = 4 . . . . . . . divide by 7
_____
Using Cramer's Rule, you can also find the x-value. The math is not so different.
x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4
After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
The right answer is 19.9
Step-by-step explanation:
Given data set is;
(18, 23, 17, 25, 15, 18, 18, 16, 27, 25, 18, 19)
Sum of terms = 18+23+17+25+15+18+18+16+27+25+18+19 = 239
Number of terms in data set = 12
Average = 
Average = 
Average = 19.91
The average of data set is 19.91
The right answer is 19.9
Keywords: average, addition
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Answer:
side angle side. Seems contrary
