Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building
x=200
200√3≈346.41
the answer is 346.41 feet
So you would use the law of sines so set up the equation sin18/16 = sin72/x (sin 72 being the top angle) and then you cross multiply and solve from there:)
Hope this helps!
The first option is the correct answer.
Answer:
42÷227=42/227
Step-by-step explanation: