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Ronch [10]
3 years ago
8

What’s three points that satisfy the system of inequality’s of 4x+6y<24

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

(0,0), (1,1), (2,2)

Step-by-step explanation:

When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).

In this case:

4x+6y<24 ==> 0 + 0 < 24  TRUE, it satisfies the inequality.

We then try with (1,1):

4x+6y<24 ==> 4 + 6 < 24  TRUE, it satisfies the inequality.

And with (2,2):

4x+6y<24 ==> 8 + 12 < 24  TRUE, it satisfies the inequality.

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The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the
muminat
Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
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which factors into
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Solving for w
2w - 7 = 0
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w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
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l = 2*3.5 - 3
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l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

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