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4 years ago

Is there an ordered pair that is a solution to both 4x+3y<12 and -x+3y<-3

Mathematics

1 answer:

tangare [24]4 years ago

4 0

Answer:

See below.

Step-by-step explanation:

4x + 3y < 12

-x + 3y < -3

First find where the 2 lines intersect

4x + 3y = 12

-x + 3y = -3

Subtract :

5x = 15

x = 3

and y = -3 + 3 / 3 = 0

So they intersect at the point (3,0).

Therefore there are many ordered pairs below these 2 lines that satisfy this inequality.

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Solve by elimination
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3 years ago

there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except

mestny [16]

Answer:

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Step-by-step explanation:

We have been given that there are 6 married couples at a party.

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We know that number of handshakes for n people is given by formula $\frac{n(n-1)}{2}$ .

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So formula for this problem would be $\frac{n(n-1-1)}{2}$ or $\frac{n(n-2)}{2}$ .

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3 years ago

Liliana wants to write an equivalent expression for n + 3 minus 5 n + 6. Which of her attempts uses the algebraic properties cor

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Answer:

Option A.

Step-by-step explanation:

The given equation is

$n+3-5n+6$

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$n+(3-5n)+6$

Using commutative property, we get

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Using associative property, we get

$(n-5n)+(3+6)$ $[\because A+(B+C)=(A+B)+C]$

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$-4n+9$

Therefore, the correct option is A.

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3 years ago

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