Answer:
The values of x are

Step-by-step explanation:
we have

Solve for x
Adds 42 both sides


Divide by 6 both sides

simplify

square root both sides

therefore
The values of x are

Answer:
$24
Step-by-step explanation:
Since you know 5 tickets equal to $60, and you want to find the cost of one ticket, you would divide 60 by 5. 60/5=12. So each ticket costs 12 dollars. But you want to find the cost of two. So multiply $12 by two to get $24 dollars per two tickets.
Answer:
the expression is: 
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is:
where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:

So, the expression is: 
and 2730 different ways are possible.
Answer:
dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x
Step-by-step explanation:
We use the Product Rule:
y= (x²-3)³cos2x
dy/dx = (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx
= (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x
= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)
= 6x(x²-3)cos2x - 2(x²-3)³sin2x
Answer:
point C
Step-by-step explanation: