Parentheses affect how equations are done.
EX. 1+1*4
4+1=5
VS
(1+1)*4
2*4=8
Answer:
Step-by-step explanation:
A discriminate of -8 is never going to give you a real root. D is wrong
You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.
So the answer is B. You have 2 complex roots.
Answer:
A. 4.8°
Step-by-step explanation:
We have that,
The horizontal distance for the ramp = 12 feet.
Maximum height of the ramp = 1 feet.
So, we get that the value of the angle 'x' made by the ramp with the ground is given by,
![\tan x=\frac{perpendicular}{base}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cfrac%7Bperpendicular%7D%7Bbase%7D)
i.e. ![\tan x=\frac{1}{12}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cfrac%7B1%7D%7B12%7D)
i.e. ![\tan x=0.0833](https://tex.z-dn.net/?f=%5Ctan%20x%3D0.0833)
i.e. ![x=\arctan 0.0833](https://tex.z-dn.net/?f=x%3D%5Carctan%200.0833)
i.e. x = 4.8°
Thus, the maximum angle made by the ramp with the ground is 4.8°.
Hello!
The domain of the function are the x-values that make the function true.
Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).
From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.
Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.