I=$54, P=$900, t.= 18 months
2 answers:
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Answer:
There are a total of functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words
Answer:
Width: 6
Length: 20
Step-by-step explanation:
So the area of a rectangle can be defined as: where w=width and l=length.
In this case we don't know what the length is, so let's just say the length is the variable l, and since the width is 14 units less than the length, we can express it as (l-14). this gives us the equation: . We can solve for l, since we're given the area which is 120. So let's set the equation equal to that:
Original Equation:
Substitute 120 as A (given)
There is many ways to solve this equation: factoring, quadratic equation, completing the square etc... but in this case I'll just complete the square
Add (b/2)^2 to both sides to complete the square
Simplify
Rewrite right side a square binomial
Take the square root of both sides
Add 7 to both sides
to solve for width simply subtract 14 from the length which is 20, so the width is 6
Width: 6
L: 20