Answer:
x=15
Step-by-step explanation:
Since both lines are parallel, and one line goes through them, angle (3x+2) and 47 are congruent
3x+2=47
3x=45
x=15
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
![5\, \sqrt[3]{x-1} = 20](https://tex.z-dn.net/?f=5%5C%2C%20%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%2020)
Then, we divide both sides by 5 to isolate the root:
![\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-1%7D%20%3D%20%5Cfrac%7B20%7D%7B5%7D%20%5C%5C%5Csqrt%5B3%5D%7Bx-1%7D%20%3D4)
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

now we add 1 to both sides to isolate x:
x = 65
The maximum value of the function is M = A + |B|. This maximum value occurs whenever sin x = 1 or cos x = 1.