You take 3/4 and multiply that by eight and you’ll get 6
Answer:
The zeros of the given polynomial function f(x) are -3,0,-4
Step-by-step explanation:
Given polynomial is 
To find the zeros of the given polynomial:
First equate the polynomial function f(x) to zero
That is 
By synthetic division we can solve it
-3_| 3 21 36 0
0 -9 -36 0
_____________________
3 12 0 0
Therefore x+3 is a factor
That is x=-3 is a zero


3x=0 or x+4=0
Therefore x=0 or x=-4
Therefore the zeros are -3,0,-4
9514 1404 393
Answer:
- relative minimum -6√3 at x = -√3
- relative maximum 6√3 at x = √3
- decreasing on x < -√3 and x > √3
- increasing on -√3 < x < √3
- see below for a graph
Step-by-step explanation:
I find it convenient to draw the graph first when looking for relative extrema.
The function can be differentiated to get ...
f'(x) = -3x^2 +9
This is zero when ...
-3x^2 +9 = 0
x^2 = 3
x = ±√3 . . . . . x-values of relative extrema
Then the extreme values are ...
f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3
The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...
(x, y) = (-√3, -6√3) and (√3, 6√3)
__
Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of x between the minimum and the maximum.
decreasing: x < -√3, and √3 < x
increasing: -√3 < x < √3
Answer:
443.2m
Step-by-step explanation:
Given in the question that,
distance from building to me = 45m
angle of elevation = 82°
building is 123 m + x m high
If we closely observe then this situation make a right angle triangle and we will use trigonometry identity to solve the question.
Step 1
tan(82) = y / 45
y = 45tan(82)
y = 320.2 m
Step 2
Hence the height of building is y + 123m. So, plug the value of y in this
320.2 + 123 = 443.2