Answer:
All negative real numbers.
Step-by-step explanation:
We have been given two function
![u(x)=-2x^2+3](https://tex.z-dn.net/?f=u%28x%29%3D-2x%5E2%2B3)
![v(x)=\frac{1}{x}](https://tex.z-dn.net/?f=v%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D)
First, we need to compute (u*v(x)) it means we have to put v(x) in place of x in u(x) then only it will become u(v(x))
![u(\frac{1}{x})=-2\frac{1}{x^2}+3=-2x^2](https://tex.z-dn.net/?f=u%28%5Cfrac%7B1%7D%7Bx%7D%29%3D-2%5Cfrac%7B1%7D%7Bx%5E2%7D%2B3%3D-2x%5E2)
Range is the value here y that is f(x) will take
All negative real numbers
Answer: ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
tangent of ∠PLM = ![\frac{opposite}{adjacent} =\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%3D%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
equation -
(X+7) (x-1) =0
equation = x2 -x -7x -7 = x2 -8x -7
standard form = x2 -8x -7
factor form = (x+7) (x-1)
Answer: The distance between the birds is about 77.78 yards.
This is a trigonometry problems, so it helps to draw a right triangle between the birds. The length between them is the hypotenuse and we have a angle of 40 degrees by the sparrow. The side opposite the sparrow is the difference in heights of the birds, 50 yards.
Therefore, we can write and solve the following sine relationship.
sin(40) = 50/x
0.6428 = 50/x
x = 77.78 <span />