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Sunny_sXe [5.5K]
3 years ago
6

What are the solution of a quadratic equation 49x^2 = 9​

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

x = ±3/7

Step-by-step explanation:

49 x^2 = 9

Divide each side by 49

49/49  x^2 = 9/49

x^2 = 9/49

Take the square root of each side

sqrt(x^2) = ±sqrt(9/49)

We know  sqrt(a/b) =sqrt(a)/sqrt(b)

x = ±sqrt(9)/ sqrt(49)

x = ±3/7

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The table shows a student's proof of the quotient rule for logarithms.
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Answer:

The error is at step (3) .

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All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

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\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

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The following events took place at a manufacturing company for the current year: (1) Purchased $115,000 in direct materials. (2)
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The question was not written properly. Here is the appropriate form of question:

The following events took place at a manufacturing company for the current year:

(1) Purchased $115,000 in direct materials.

(2) Incurred labor costs as follows: (a) direct, $76,000 and (b) indirect, $33,600.

(3) Other manufacturing overhead was $127,000, excluding indirect labor.

(4) Transferred 75% of the materials to the manufacturing assembly line.

(5) Completed 60% of the Work-in-Process during the year.

(6) Sold 80% of the completed goods.

(7) There were no beginning inventories.

1- What is the company's Cost of Goods Sold?

Options:

a. $193,710

b. $154,968

c. $322,850

d. $258,280

Answer:

1- b. $154,968

Step-by-step explanation:

1- Cost of goods sold (COGS) is the is the expense of securing or assembling the items that an organization sells during a period, so the main costs remembered for the measure are those that are directly attached to the creation of the items, including the expense of work (labor cost), materials, and assembling overhead.

0.6*[$0 + 0.75*($115,000) + $76,000 + ($127,000 + $33,600)] <em>(because completed 60% of the Work-in-Process during the year)</em>

= $193,710

80% of $193,710 <em>(because sold 80% of the completed goods)</em>

0.8*$193,710

= $154,968

5 0
3 years ago
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