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Marizza181 [45]
3 years ago
13

Complete the square for: 2x² - 36x - 16 show work.

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -18 .

     -8    +    1    =    -7

     -4    +    2    =    -2

     -2    +    4    =    2

     -1    +    8    =    7

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 2 • (x2 - 18x - 8)

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1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the
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<span>(a) $7.04 (b) 704/1599 (c) 0.44 (d) 14 (e) $98.56 (a) How much profit does Lucy earn when she sells a necklace? Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation. P = $15.99 - $3.38 - $5.57 P = $12.61 - $5.57 P = $7.04 So her profit is $7.04 per necklace. (b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers. The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599. The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599. (c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)? Pardon the lack of formatting 704/1599 = 0.4403 Rounded to the nearest hundredth gives 0.44 (d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work. This question is asking for total cost. So divide the $223.86 by the sale price of $15.99. $223.86 / $15.99 = 14 14 necklaces were sold. (e) How much profit did she earn from the number of necklaces she sold? Show your work. Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So $7.04 * 14 = $98.56</span>
5 0
4 years ago
Read 2 more answers
What is the circumference of a circle with a diameter of 10 feet? Use 3.14 for
viva [34]

Answer:

choice A) circumference = 31.4 ft

Step-by-step explanation:

circumference = 3.14(10)

circumference = 31.4 ft

8 0
3 years ago
Read 2 more answers
Pls help me find the answer...
erastovalidia [21]

Answer:

<h2>             m∠ABC = 30°</h2>

Step-by-step explanation:

m∠BAD = 0.5m∠BCD = 0.5•126° = 63°

The  angles in quadriteral add to 360°, so:

m∠ABC + m∠BAC + m∠ACD + reflex m∠BCD = 360°

m∠ABC + 63° + 33° + (360° - 126°) = 360°

m∠ABC + 96° - 126° = 0

m∠ABC = 30°

7 0
3 years ago
A team played 38 matched in a football league. They won 22 matches and Lost nine matches. The rest of the matches were draws. Th
pychu [463]

Answer:

The answer is 73.

Step-by-step explanation:

To find the total number of points for a win, you would do 3*22 which equals 66.

Then the number of draws, which is 7 draws, has one point per draw, so it would be 7.

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Hope this helps!

4 0
3 years ago
What is the answer please?
Allisa [31]
Yea um I would help but that looks complicated
3 0
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