Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced
Answer:
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Step-by-step explanation:
slope= y2-y1 over x2-x1
1- -5 over 2-2
6 over 0
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Since the slope is -4 and it is passing through (7,6) so the point slope form of equation can be applied. y-6= -4(x-7)
Answer:
The variable representation is x, x+2 and x+4 for this sequence.
Step-by-step explanation:
Given that:
The sum of 3 consecutive even numbers is 78.
Let,
The first even number is represented by x.
As the numbers are consecutive, thus,
First even number = x
Second even number = x+2
Third even number = x+4
Hence,
The variable representation is x, x+2 and x+4 for this sequence.
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
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Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
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<em>Alternate solution</em>
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²