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klio [65]
3 years ago
15

Gabriella and her children went into a restaurant where they sell hotdogs for $4 each and tacos for $2 each. Gabriella has $30 t

o spend and must buy a minimum of 9 hotdogs and tacos altogether. Also, she must buy no less than 2 hotdogs. If xx represents the number of hotdogs purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
Lorico [155]3 years ago
6 0

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.

Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.

Hence:

4x + 2y ≤ 30    (1)

x + y ≥ 9      (2)

Also:

x ≥ 2   (3)

A possible solution to the inequality is 2 hotdogs and 8 tacos.

Find out more on inequality at: brainly.com/question/241541

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3 years ago
What is the equation of the graph
AveGali [126]

Answer:

y = 2x^2 + 1

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

y = a*x^2 + b

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

3 = a * (1)^2 + 1\\2 = a

Awesome, we've found both values. And we can write the result.

y = 2x^2 + 1

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0
3 years ago
If i had the equation -3y=-2x+8 would i divide the 8 by -3 too?
UNO [17]
Not only you're gonna divide 8 by -3 for some reason, but you also divide all terms by -3. For instance,
(-3y = -2x + 8) / -3
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Hope this helps.
3 0
4 years ago
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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

8.5 - 8.0 < x < 8.5 + 8.0 =

0.5 < x < 16.5

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

8 0
3 years ago
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