Answer:
A=4ft²
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Step-by-step explanation:
Answer:
See the attachment.
Step-by-step explanation:
The line of a proportional graph always passes through the point of origin, (0, 0).
Also, a proportional graph is a straight line that do not bend.
Therefore, the graph that shows the proportion is the first graph. See attachement.
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
First, I'd simplify this problem by dividing every term by 2:
x^4 - 4x^3 + 5x^2 - 4x + 4 = 0
Then I'd think of the possible factors of that constant term, 4: They would be plus or minus 1, plus or minus 2, or plus or minus 4.
Let's try x = -4 as a possible root. Setting up and using synthetic division:
____________________
-4 / 1 -4 5 -4 4
-4 32
----------------------------
1 -8 37
This result is not helpful. So, try the possible root +4 instead:
________________
+4 / 1 -4 5 -4 4
4 0 20 64
----------------------------
1 0 5 16 68 4 is not a root because the remainder
(68) is not zero.
Try x = 2:
________________
+2 / 1 -4 5 -4 4
2 -4 2 -40
----------------------------
1 -2 1 -2 0
2 is a root because the remainder is zero.
Continue this process until you've found the other 3 roots.
Hint: Try the possible root x = -2 with the following coefficients:
____________
-2 / 1 -2 1 -2
---------------------
Answer:
<h2>
25metres</h2>
Step-by-step explanation:
Given the area of the garden in terms of the width modeled by the equation A(x) = -(x-25)²+625 where x is the width of the garden. The side with that will produce the maximum garden area is occurs at when d[A(x)]/dx = 0
Given A(x) = -(x-25)²+625
d[A(x)]/dx =-2(x-25) + 0
Since d[A(x)]/dx = 0
-2(x-25) = 0
open the parenthesis
-2x+50 = 0
-2x = 0-50
-2x = -50
Divide both sides by -2;
-2x/-2 = -50/-2
x = 25metres
<em>Therefore the width of the garden that will produce the maximum garden area is 5metres.</em>
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