To be called the Order of the Maandor of minors nonzero in a Matrix
1 answer:
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Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
Divide both sides by 10
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
Multiply both sides by 3 to isolate x on the left side
Multiply both sides by 4 to remove fraction
Subtract 3x to isolate x on the left side
Plug x into one of our original equations
Solve
Answer:
Second point (-5/2, -7/2)
First point (3/2, 17/2)
Step-by-step explanation:
We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.
4x2+ 7x -11=y
3x+4=y
Lets use substitute method
4x2+7x-11=3x+4
This can be re arrange as the following eq:
4x2+4x-15=0
A quadratic equation, its solution can be obtained using the below eq.
where a=4, b=4, c=-15.
Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.
By doing the above, we have x=-5/2 and x=3/2
By using x=3/2 in equation of line (3x+4=y) we have y=17/2
First point (3/2, 17/2)
By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2
Second point (-5/2, -7/2)
Those points are the ones where the line and the parabola intercept.