Answer:
300%
Step-by-step explanation:
Given
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
Where k is the constant of proportionality
When x decreased by 50%
Expand
Substitute 
for y
The percentage change is then calculated as:
<em>The percentage in y is 300%</em>
Let the lengths of the east and west sides be x and the lengths of the north and south sides be y. the dimensions you want are therefore x and y.
The cost of the east and west fencing is $4*2*x; the cost of the north and south fencing is $2*2*y. We have to put in that "2" because there are 2 sides that run from east to west and 2 sides that run from north to south.
The total cost of all this fencing is $4(2)(x) + $2(2)(y) = $128. Let's reduce this by dividing all three terms by 4: 2x + y = 32.
Now we are to maximize the area of the vegetable patch, subject to the constraint that 2x + y = 32. The formula for area is A = L * W. Solving 2x + y = 32 for y, we get y = -2x + 32.
We can now eliminate y. The area of the patch is (x)(-2x+32) = A. We want to maximize A.
If you're in algebra, find the x-coordinate of the vertex of this quadratic equation. Remember the formula x = -b/(2a)? Once you have calculated this x, subst. your value into the formula for y: y= -2x + 32.
Now multiply together your x and y values to obtain the max area of the patch.
If you're in calculus, differentiate A = x(-2x+32) with respect to x and set the derivative equal to zero. This approach should give you the same x value as before; the corresponding y value will be the same; y=-2x+32.
Multiply x and y together. That'll give you the maximum possible area of the garden patch.
Answer:
w=7±i√47
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8
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
sorry if it not correct ._.
Answer:
n = 3
m = -1/2
Step-by-step explanation:
Multiply the second equation by 4
4(n - 2)x + y = 4(n + m) Y is now correct.
4(n - 2) = 4 Remove the brackets
4n - 8 = 4 Add 8 to both sides
4n = 8 + 4 Combine
4n = 12 Divide by 4
n = 3 x is now correct
4(n - 2) = 4
4(3 -2) = 4
4 = 4
Now you have to worry about m
4(n + m) = 10
n = 3
4(3 + m) = 10 Divide by 4
m + 3 = 10/4
m + 3 = 2.5 Subtract 3 from both sides.
m = 2.5 - 3
m = - 1/2
