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crimeas [40]
3 years ago
9

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = \frac{-k\pm\sqrt{k^2-4hc}}{2h}

  = \frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}

  = \frac{-9\pm\sqrt{81-336}}{2(12)}

  = \frac{-9\pm\sqrt{-255}}{24}

  = \frac{-9\pm i\sqrt{255}}{24}

a = \frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}

Therefore, Option B will be the correct option.

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Attached the solution and work.

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Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
kotykmax [81]

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

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To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

7.28i+8.21y\geq 100

8.21y\geq 100-7.28i

Divide both sides by 8.21.

y\geq \dfrac{100-7.28i}{8.21}

Therefore, the required inequality is y\geq \dfrac{100-7.28i}{8.21}.

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A small motorboat travels 12mph in still water. It takes 2 hours longer to travel 46 miles going upstream than it does going dow
Natasha_Volkova [10]

Using the relation between velocity, distance and time, it is found that the rate of the current is of 3.33 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is distance divided by time, hence:

v = d/t

A small motorboat travels 12mph in still water. With the current, upstream, 46 miles are traveled in t hours, hence:

12 + r = 46/t

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Downstream, the time is of t + 2 hours, hence:

12 - r = 46/(t + 2)

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Hence, equaling the values for r:

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Using a quadratic equation calculator, the solution is t = 3. Hence the rate is found as follows:

r = 46/t - 12 = 46/3 - 12 = 3.33 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/28155966

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