Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
25----------5 and 5--------------5 and 1 ------------5 and 1
Answer:
The number is 16
Step-by-step explanation:
3/4 n- (-16) = 28
3/4 n + 16 = 28
Subtract 16 from each side
3/4 n +16-16 = 28-16
3/4 n =12
Multiply by 4/3 to isolate n
4/3 * 3/4 n = 12 * 4/3
n = 16
Answer:
-5 and -4
Step-by-step explanation:
It is far easier just to solve the equation than to determine appropriate integer bounds on the solution.
In the attachment, we show a couple of initial trials at solutions. The nearness of y=5 to being correct suggests that the next higher integer may be helpful, too. It is.
We find -4 and -5 to bracket the solution.
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The actual solution is (3.4 -1.3)/-0.5 = -4.2.
