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LuckyWell [14K]
3 years ago
6

Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has

$45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

xx times yy=270

Step-by-step explanation:

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How do you solve it?
MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

(x+2)(x-1)=0

<em>"first"</em> would be x*x, which would equal x^{2}

<em>"outside"</em> would be x*-1, which would equal -1x, or -x

<em>"inside"</em> would be 2*x, which would equal 2x

<em>"last" </em>would be 2*-1, which would equal -2

Now you need to combine the terms so that they are one after the other

x^{2}-x +2x-2

Combine like terms, and you should get:

x^{2} +x-2

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

x+2=0\\x=-2

<em>Add one to both sides.</em>

x-1=0\\x=1

ii Solution

<em>Add all the terms.</em>

x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}

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I believe it would be (b) (-2,1)
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