By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
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X+ 3y = 1 -----(first equation)
-2x+7 = -23 ---(second equation)
-2x = -23-7
x = 30/2
x = 15
Now, Substitute the value of x in first equation,
15 + 3y = 1
3y = 1 - 15
y = -14/3
In short, Final Answers are: x = 15 & y = -14/3
Hope this helps!
I think it is 17 but i am not 100% accurate
The answer is 90°
The sum of all angle in a triangle is 180°
So,
180-(45+45)
= 180-90
= 90°
