Given:
The system of equations is:
Line A: 
Line B: 
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get



Divide both sides by 2.

Substituting
in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting
in the given equations.


This statement is true.
Similarly,



This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Answer:
11/25
Step-by-step explanation:
Reciprocal is the fraction flipped
The answer is -7.4 because you switch from positive to negative
Answer:
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
Let
x -----> pounds of pecans used
y ----> pounds of chocolate candies used
we know that
-----> equation A
-----> -----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
Using a graphing tool
The solution is the point (28,32)
see the attached figure
therefore
Should be used 28 pounds of pecans and 32 pounds of chocolate candies
Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
which gives us, in the end,
y = 9460