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3 years ago

Use the quadratic formula to find the exact solutions of x2 - 5x - 2 = 0.

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

Step-by-step explanation:

${x}^{2} - 5x - 2 = 0 \\ a = 1 \: and \: b = - 5 \: and \: c = - 2 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times - 2)} }{(2 \times 1)} \\ x = \frac{5± \sqrt{33} }{2} \\ either : x = \frac{5 + \sqrt{33} }{2} \: or \: \frac{5 - \sqrt{33} }{2} \\ x = 5.4 \: or \: - 0.4$

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disa [49]

Answer:

8 weeks

Step-by-step explanation:

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2 years ago

Read 2 more answers

I need help solving 11 3/4 minus 8 2/10

melomori [17]

Answer:

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Step-by-step explanation:

Subtract whole numbers, 11 - 8 = 3

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2 years ago

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320/48

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3 years ago

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2 years ago

17. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that go

OLga [1]

<h2>Answer </h2>

D. 6x>_360; x>_60

<h2>Explanation</h2>

Let $x$ be amount you will save each weeks

Since we know that you are saving over a period of 6 weeks, you will save $6x$ .

We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol $\geq$ (greater on equal than)

Now we can combine our tow parts using the inequality symbol:

$6x\geq 360$

To simplify divide both sides by 6:

$\frac{6}{6} x\geq \frac{360}{6}$

$x\geq 60$

You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60

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3 years ago