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Mkey [24]
3 years ago
12

||3x-4|-5|>1 pls solve i need help with it i give 100 points

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

{ \tt{  | |3x - 4|  - 5 | > 1 }} \\  \\ { \tt{ |3x - 4|  > 1 ±5}}

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

{ \tt{ |3x - 4|  > 6 \:  \: or \:  \:  - 4}}

→ <u>for</u><u> </u><u>|</u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>|</u><u> </u><u>></u><u> </u><u>6</u><u>:</u>

{ \tt{ |3x - 4|  > 6}} \\  \\ { \tt{3x > 6±4}} \\  \\ { \boxed{ \tt{ \: x = \frac{10}{3}   \:  \: or \:  \:  \frac{2}{3} }}}

→ <u>for</u><u> </u><u>|</u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>|</u><u> </u><u>></u><u> </u><u>-</u><u>4</u><u>:</u>

{ \tt{ |3x - 4|  >  - 4}} \\  \\ { \tt{3x >  - 4±4}} \\  \\ { \boxed{ \tt{ \: x > 0 \:  \: or \:  \:  -  \frac{8}{3} }}}

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a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
3 years ago
Chang made $144 for 8 hours of work at the same rate how many hours would he have to work to make 234
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Answer:

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Step-by-step explanation:

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3 years ago
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Are you sure that z + 2+ z is correct?  x and y do not appear here.

z + 2+ z simplifies to 2z + 2, and so, if z = -4, z + 2+ z has the value

2(-4) + 2, or -6.

7 0
3 years ago
Graph the equation y-1=-3(x-3)
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Step-by-step explanation:

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