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seropon [69]
3 years ago
7

What is the graph for {3x+5y<10 {x-y<=1

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
Sounds to me as tho you are to graph 3x+5y<10, and that after doing so you are to restrict the shaded answer area created by the "constraint" inequality x≤y+1.    OR x-1 ≤ y   OR  y≥x-1.  If this is the correct assumption, then please finish the last part of y our problem statement by typing   {x-y<=1}.

First graph 3x+5y = 10, using a dashed line instead of a solid line.

x-intercept will be 10/3 and y-intercept will be 2.  Now, because of the < symbol, shade the coordinate plane BELOW this dashed line.

Next, graph y=x-1.  y-intercept is -1 and x intercept is 1.  Shade the graph area ABOVE this solid line.

The 2 lines intersect at (1.875, 0.875).  To the LEFT of this point is a wedge-shaped area bounded by the 2 lines mentioned.  That wedge-shaped area is the solution set for this problem.
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The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.
nikitadnepr [17]

Answer:

  4

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

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for r=5 and n=6, this becomes ...

  15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

  1 = a1/4 . . . . . divide by 15624

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The first term of the series is 4.

5 0
3 years ago
A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?
ra1l [238]
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall
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sasho [114]
2x-2y

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7 0
2 years ago
Huixian's grandparents own a farm with m goats and
Anna35 [415]

Step-by-step explanation:

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Heads are given, so we get:

2(52) + 2(goats) = 140

104 + 2(goats) = 140

2(goats) = 36

goats = 18

Since we know the number of goats, we know the number of chickens.

34Chickens and 18 goats.

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Answer:

YOU HAVE IMAGE???

Step-by-step explanation:

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