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Pepsi [2]
2 years ago
14

Will reward brainliest!

Mathematics
1 answer:
Lina20 [59]2 years ago
8 0

Option D: Two irrational solutions

Explanation:

The equation is 17+3 x^{2}=6 x

Subtracting 6x from both sides, we have,

3x^{2} -6x+17=0

Solving the equation using quadratic formula,

x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}

Simplifying the expression, we get,

\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}

Taking out the common terms and simplifying, we have,

\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}

Dividing by 3, we get,

x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}

Hence, the equation has two irrational solutions.

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Stolb23 [73]

Answer:

y + 8 = 6(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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here m = 6 and (a, b) = (- 1, - 8), hence

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3 years ago
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2 years ago
Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing
Sindrei [870]

Using complementary events, considering a \frac{1}{4} probability of drawing a red marble, the probability of not drawing a red marble is of \frac{3}{4}.

<h3>What are complementary events?</h3>

They are mutually exclusive events which have the sum of their probabilities as 1.

In this problem, we consider that there is a \frac{1}{4} probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:

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The probability of not drawing a red marble is of \frac{3}{4}.

More can be learned about complementary events at brainly.com/question/9752956

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2 years ago
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Answer:

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