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MariettaO [177]
3 years ago
11

Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

$24.75

Step-by-step explanation:

$8.25 is for 3. So triple that cost gets you $24.75

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Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

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p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

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To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
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