Answer:
Step-by-step explanation:
Graphing systems of linear inequalities is as follows:
Step 1:
Firstly sketch first line which is in this case f(x) = x +1 which means we sketch
y = x + 1
Step 2:
Secondly we sketch the second line which is f(x) = 2 which means we sketch
y = 2
Step 3:
Thirdly we sketch the third line which is f(x) = x which means we sketch
y = x
Now since we have sketched all the three lines we see the inequalities in the first equation it says if x < 0 it means for all values of x which are less than zero meaning all the negative values meaning the graph will not exist for values of x = 0 or higher so we omit that region.
Now we for the second line it says 0 ≤ x ≤ 1 meaning the second line exists for the values of x between zero and one and the rest we omit.
Now for the third line it says x > 1 meaning the third line exists for all values of x greater than 1 meaning we omit everything else.
The rest i have attached some images on to graph the functions do take a look because typing all that would take ages so its better if you visualize it might help you understand it better.
Answer:
C and E
Step-by-step explanation:
Recall that according to the complex conjugate theorem, if P(x) is a polynomial function with real coefficients, and a+bi is an imaginary root of P(x), then its conjugate (i.e a-bi) must also be a root.
Here we see that 2 of the given roots are imaginary : i and 2+i
by the theorem given above, the conjugates of these must also be roots
i.e -i and 2-i
Answer:
Step-by-step explanation:
"A number is<u> [WHAT?] </u>of another number." It appears the <u>WHAT??</u> is missing. If it is a word such as "twice," it can be solved in this fashion.
Let the numbers be X and Y, with Y the larger number.
A number is <u>twice</u> another number: Y = 2X
The difference of the numbers is 18: Y - X = 18
Use the first equation (Y = 2X) in the second by replacing "Y" with (2X):
Y - X = 18
2X - X = 18
X = 18
Y = 2X, so Y = 36
The graph in the bottom left is correct