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nasty-shy [4]
2 years ago
8

Show the remainder of this problem as a fraction: =45 /

Mathematics
1 answer:
Artemon [7]2 years ago
8 0

Answer:

45 9/14

That's how you would write it.

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Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
ivanzaharov [21]
Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l            (1)

Part A.
The area is
A = w*l 
   = (2 - l)*l
 A  = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
   = -[ (l -1)² - 1]
   = -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.

4 0
3 years ago
Eggs were $2.05 per dozen on January 1st and $2.00 per dozen February 1st what percent did the price decrease during January?
Sholpan [36]
This is a 2.5% decrease in price.
8 0
3 years ago
Read 2 more answers
All ir rational numbers are rational numbers
patriot [66]

Answer:

no

Step-by-step explanation:

false

irrational numbers cannot be rational

8 0
3 years ago
Why might someone choose to use the y-intercept and the slope to graph a line?
ss7ja [257]
Because if you know where the line crosses the y axis (the y intercept) you can plot a point there. Then with slope you can count to your next plotted point. With the 2 points you can now draw your line.
4 0
3 years ago
Which are the correct classifications for the polygon?
Yakvenalex [24]
I believe the correct answer from the choices listed above is option A. THe correct classification of the polygon in the figure would be a concave hexagon. Counting the number of sides, we have 6 sides making it a hexagon. It is concave since one side is <span>hollowed inward.</span>
4 0
3 years ago
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