Answer:
Step-by-step explanation:
If the complex number 
is a root of a cubic function, then the complex number 
is a root too. Thus, the cubic function has three known roots 
and can be written as
Answer:
347.037461955
Step-by-step explanation:
If you are taking the square root of 120,435. I would just put it into a calculator.
:Basically it's just using any other random numbers for the ration. For example if the ratio given was 9:15 then it should just be the numbers 9 and 15. So a non example for a ratio for the example given would be 6:18
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
To get the highest scores, one needs to answer 4 computational problems and 8 graphical problems.
Step-by-step explanation:
Let x be the required number of computational problems one can answer
And y be the number of graphical problems one can answer.
- One cannot answer more than 12 questions in total
x + y ≤ 12
- Computational problems take 2 mins to answer and graphical problems take 4 mins to answer and there is a maximum of 40 mins for the quiz
2x + 4y ≤ 40
- Then finally, there 6 points associated with a computational problem and 10 points associated with a graphical problem and we want to maximize the number of points obtained from the test.
P(x,y) = 6x + 10y
So, the problem looks more like a linear programming problem to maximize
P(x,y) = 6x + 10y
subject to the constraints
x + y ≤ 12
2x + 4y ≤ 40
solving the constraint equations using the maximum values of the inequalities
x + y = 12
2x + 4y = 40
From the first eqn, x = 12 - y
Substituting into the second wan
2(12 - y) + 4y = 40
24 - 2y + 4y = 40
2y = 16
y = 8
x = 12 - y = 12 - 8 = 4
So, the solution of the equation of constraints, or even the graph of both constraint equation is
x = 4, y = 8
These represents the number of computational and graphical problems to maximally satisfy the constraints and maximize the required number of points.
Hope this Helps!!!
