Answer:
p=-6
q=3
Step-by-step explanation:
5p-3q=-39
-2p-3q=3
Multiply the second equation by -1
2p +3q = -3
Add the first equation and the modified second equation
5p-3q=-39
2p +3q = -3
---------------------
7p = -42
Divide by 7
7p/7 = -42/7
p = -6
Now we can find q
2p +3q = -3
2(-6) +3q = -3
-12 +3q = -3
Add 12 to each side
-12+12 +3q = -3+12
3q = 9
Divide by 3
3q/3 = 9/3
q=3
Answer:
40%
Step-by-step explanation:
Degree representing students who prefer burgers = 144°
Percentage of students who like burger = 


Percentage of students who offered burger = 40%
Answer:
25
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:


If the terms are multiplied by constants, take them outside the integral:

Multiply by the conjugate of 1 - sin(6x) :






Expand:






![\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}](https://tex.z-dn.net/?f=%5Cimplies%2012%20%5Cleft%5B%5Cdfrac%7B1%7D%7B6%7D%20%5Ctan%20%286x%29%2B%5Cdfrac%7B1%7D%7B6%7D%20%5Csec%20%286x%29%20%5Cright%5D%2B%5Ctext%7BC%7D)
Simplify:


Learn more about indefinite integration here:
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