Answer:
Domain: All real numbers
Range: y≤3
Step-by-step explanation:
The given function is
![y = - 2 {x}^{2} - 8x - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%20%7Bx%7D%5E%7B2%7D%20%20-%208x%20-%205)
This is a polynomial function.
The domain is set of all values of x, that makes this function defined.
Since polynomial functions are defined everywhere, the domain is all real numbers.
To find the range we put the function in vertex form:
![y = - 2( {x}^{2} + 4x) - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%29%20-%205)
![y = - 2( {x}^{2} + 4x + 4) - 5 + - 4 \times - 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%204%29%20-%205%20%2B%20%20-%204%20%5Ctimes%20%20-%202)
![y = - 2( {x} + 2)^{2} - 5 + 8](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%20%20%2B%202%29%5E%7B2%7D%20-%205%20%2B%208)
![y = - 2( {x} + 2)^{2} + 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%20%20%2B%202%29%5E%7B2%7D%20%20%2B%20%203)
The maximum value is 3
The function turns downward, hence the range is:
![y \leqslant 3](https://tex.z-dn.net/?f=y%20%5Cleqslant%203)
Answer:
y = 3x - 8
Step-by-step explanation:
Line is passing through the points (2, - 2) & (0, - 8)
Slope of line
![\: m = \frac{ - 8 - ( - 2)}{0 - 2} \\ \\ = \frac{ - 8 + 2}{ - 2} \\ \\ = \frac{ - 6}{ - 2} \\ \\ = 3 \\ \\y-intercept = b = - 8\\ \\equation \: of \: line \: in \:slope \:\\ intrecept \: form \: is \: given \: as \\ \\ y = mx + b \\ \\ y = 3x + ( - 8) \\ \\ \huge \red {y = 3x - 8}](https://tex.z-dn.net/?f=%20%5C%3A%20m%20%3D%20%20%5Cfrac%7B%20-%208%20-%20%28%20-%202%29%7D%7B0%20-%202%7D%20%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cfrac%7B%20-%208%20%2B%202%7D%7B%20-%202%7D%20%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cfrac%7B%20-%206%7D%7B%20-%202%7D%20%20%20%5C%5C%20%20%5C%5C%20%3D%203%20%5C%5C%20%5C%5Cy-intercept%20%3D%20b%20%3D%20-%208%5C%5C%20%5C%5Cequation%20%5C%3A%20of%20%5C%3A%20line%20%5C%3A%20in%20%20%5C%3Aslope%20%5C%3A%5C%5C%20intrecept%20%5C%3A%20%20form%20%5C%3A%20is%20%5C%3A%20given%20%5C%3A%20as%20%5C%5C%20%5C%5C%20%20y%20%3D%20mx%20%2B%20b%20%5C%5C%20%20%5C%5C%20y%20%3D%203x%20%2B%20%28%20-%208%29%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%20%7By%20%3D%203x%20-%208%7D)
Integers are closed under subtraction.
Answer: 7:50 AM
Step-by-step explanation:
The clock goes to 60 minutes so if you subtract 10 from 8:00 AM
It will start at 7:60
7:60-10 is 7:50
Step-by-step explanation:
I think b is 42 as well cause there are vertically opposite
ummm ....and c is (180- 42 because they are adjacent angles)
therefore b=42
c= 138
that is what I yhink sorry if it ain't the right answer