Answer:
The first graph does NOT represent a function because it fails the vertical line test.
Step-by-step explanation:
If you draw a vertical line through this graph, for x > 0, the line will intersect the graph in more than one place. That tells you immediately that this graph does snot represent a function.
Answer:
The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are 
.
Step-by-step explanation:
Consider the provided information.
Algebra's fundamental theorem states that: Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.
Now consider the provided equation.
The degree of the polynomial equation is 2, therefore according to Algebra's fundamental theorem the equation have two complex roots.
Now find the root of the equation.
For the quadratic equation of the form 
the solutions are: 
Substitute 
in above formula.
Hence, the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are .
Answer:
5.3
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
4 + 3(x + 5)=5 x - 7
3x + 19=5x - 7
3x + 19 - 19=5x - 7 - 19
3x =5x - 26
3x - 5x=5x - 26 - 5x
-2= -26
-2x/-2 = -26/-2
x= 13
It might be wrong. I may have made a mistake with typing sorry.
Hope this helps a bit.
Answer:
- 1800 ; 4284.8579 ;
Step-by-step explanation:
Given the table :
Outcome _____ probability
-12000 ________ 0.15
__ 0 __________ 0.85
Expected loss, m: Σx*p(x)
(-12000 * 0.15) + (0 * 0.85)
-1800 + 0 = - 1800
Standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - m²
(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2
21,600,000 - 3240000
= 18360000
Standard deviation = sqrt(18360000)
Standard deviation = 4284.8579
