Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are 
and 
Here the given equation is 
= 0
a = 2
b = -4
c = -1
If the roots are 
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.
Answer:
oh thank you!
i hope you have a good day/night
Answer:
Step-by-step explanation:
R=5
T=4.5
D=22.5
5x4.5=22.5
Maybe this is right ? Hope it helps
I'm not totally sure what you are asking, but maybe this is a question about dependent and independent variables?
If so, these types of variables are used in math and science as measures. In math, independent variables and dependent variables are the "tools" used in an experiment.
Independent variables are the variables that are controlled during the experiment. These variables do not change during the experiment.
Dependent variables are the variables whose values change based on the independent variables. These variables are the "outcome" portion.
I have no idea if this answers your question or not. All I can say is that the "controlled" part of a sample would be the independent variable.
