Answer:
Option C is correct.
Step-by-step explanation:
We need to solve the equation below and find value of x
Cross multiply
x(x+4)=6x
x^2+4x=6x
x^2+4x-6x=0
x^2-2x=0
Taking x common
x(x-2)=0
x=0 and x-2 =0
x=0 and x= 2
Verify solutions
putting x=0
x+4/6(0) = 1/0
the solution is undefined.
Putting x = -2
2+4/6(2) = 1/2
2+4/12 = 1/2
6/12=1/2
1/2=1/2
the solution is defined.
The solutions is x=2 as for x=0 the solution is undefined.
So, Option C is correct.
Answer:
$59
Step-by-step explanation:
Let the revenue will be maximum when $ x is increased in the ticket price.
So, the final ticket price is $(18 + x) and attendance in the concert will be (500 - 5x)
So, revenue R = (18 + x) (500 - 5x) = 9000 + 410x - 5x².......... (1)
Condition for R to be maximum is
So, differentiating equation (1) with respect to x on both sides
⇒ x = 41
So, the ticket price for maximum revenue is $(18 + 41) = $59 (Answer)
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = or
Then we could plug the answers in and find x because x = 59 - y
Answer:
The distance of UFO from KA-1212 is 1229.7 km.
Step-by-step explanation:
We are given that,
Distance between the satellites = 900 km
Angle made by the satellite KA-1212 = 60°
Angle made by the satellite SAL-11 = 75°
So, from the figure below,
The third angle is given by = 180° - (60°+75°) = 180° - 135° = 45°
Then, using the law of sines, we have,
