Answer:

And we can set equal this derivate to 0 in order to find the critical point and we got:


And we can calculate the second derivate and we got:

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094
Step-by-step explanation:
For this case we have the following function:

Where P represent the annual net income for the period 2007-2011 and 
And t represent the time in years since the start of 2005
In order to find the lowet income we need to use the derivate, given by:

And we can set equal this derivate to 0 in order to find the critical point and we got:


And we can calculate the second derivate and we got:

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094
Answer
Total Length of Wire = Perimter of Pentagon
= 12 × 5 = 60 cm
Perimeter of Rectangle = 2 (l + b)
Given, l = 3/2 b
Therefore,
2(3/2 b + b) = 60
2 (5b/2) = 60
5b = 60
Breadth b = 12 cm
Length l = 3/2 × 12 = 18 cm
Answer:
The two numbers are 40, and 27.
Explanation:
Since there are only two numbers, with two different aspects, you can just make
a system, and solve.
A sum of two numbers adding up to 67 can be modeled by: x + y = 67.
A difference of those same two numbers being 13 can be modeled by: x – y = 13.
You can add the two equations together to eliminate the y value because the -y and y will cancel out:
x + y = 67.
+ x – y = 13.
And you get: 2x = 80.
Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:
2x = 80
÷2 ÷2
x = 40.
So the first number is 40.
Since we know the first number, we can immediately find the other number by substituting it into the first equation.
x = 40 → x + y = 67
(40) + y = 67
-40. -40
Subtract from both sides to cancel the constant terms.
Then you will get that y or the second number is y = 27.
This is true because 40 + 27 = 67, and 40 - 27 = 13.
is not true
Step-by-step explanation:
We need to find if
is true?
Solving:

Cross Multiplying




Since both sides of the equation are not equal, so there is no solution.
So,
is not true.
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
(1,2) (3,2) ( 5,2)
Step-by-step explanation:
Each input value can only go to one output value
The only one that has each input only going to one output is (1,2) (3,2) ( 5,2)