Easy
3x + y = 16
Substract -y both sides
3x = -y + 16
Now divide both sides by 3
Answer is x= -1/3 + 16/3
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Answer:
f = 6y + 3
Step-by-step explanation:
<u>The equation to reflect this condition is:</u>
<u>Where</u>
- 3 - is constant, the initial number of flights
- 6 - coefficient, number of flights per year
- y- number of years
- f- total number of flights
Answer:

Step-by-step explanation:
So we have the expression:

To multiply, distribute the left to the terms on the right:

Distribute:

Combine like terms:

Simplify:

Therefore:
