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3 years ago

6-2x=5x-9x+12 what is the value of x its for savvas realize

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.

Step-by-step explanation:

6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.

iogann1982 [59]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

6-2x=5x-9x+12

6-2x=-4x+12

-2x+4x=12-6

2x=6

x=6/2

x=3

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Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto blu-ray and

Jet001 [13]

Answer:

Question 1)

a) What is the cost of producing those 50 blu-rays?

B(50) = 1,337.50

b) How much is it for each blu-ray:

B(50) / 50 = 26.75

Question 2) What is the total cost and cost per blu-ray for 100, 1000, and 10,000?

Number of blu-rays Total cost Cost per blu-ray

a) 100 1,425 14.25

b) 1000 3,000 3.00

c) 10,000 12,500 1.88

Explanation:

Question 1) What is the cost of producing those 50 blu-rays? How much is it for each blu-ray?

The cost of producing the blu-rays is modeled by the function

B(x) = 1250 +1.75x, where:

x is the number of blu-rays produced

1.75 is the cost added to the total cost for producing each unit of blu-ray

1.75 x is the cost added to the total cost for producing x units

1250 is the fixed cost, which is incurred no matter how many blu-rays are produced

B(x) is the total cost of producing x blu-rays.

Thus, to calculate the cost of producing 50 blu-rays you just substitute 50 for x in the function and compute:

B(50) = 1250 +1.75x = 1250 + 1.75 (50)
B(50) = 1250 + 87.5
B(50) = 1,337.50

To calculate the cost of each of the 50 blu-rays, you divide the total cost (1,337.50) by the number of blu-rays (50).

B(50) / 50 = 1,337.50 / 50 = 26.75

Question 2) What is the total cost and cost per blu-ray for 100, 1000, and 10,000?

The general expresssion to calculate the total cost per blu-ray unit is found by dividing the total cost, B(x) = 1250 + 1.75x, by the number of blu-rays, x:

B(x)/x = [1250 + 1.75x] / x

To calcualte the total cost and cost per blu-ray, substitute 100, 1000, and 10,000 in the expressions:

# of blu-rays Total cost Cost per blu-ray

100 1250 + 1.75 (100) = 1,425 1,425/100 = 14.25

1000 1250 + 1.75 (1000) = 3,000 3000/1000 = 3.00

10,000 1250 + 1.75(10,000) = 12,500 18,750/10,000 = 1.875

As you see, the cost per blu-ray decreases as the number of blu-rays increases, and at the limit (for a huge amount of blu-rays) the cost of blu-rays goes closer to 1.75, which is the unit rate of change of the function (the slope of the graph).

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3 years ago

Rose drive 207 miles in three hours. If rose continues to drive at the same rate, how many miles can you drive in six hours?

liq [111]

Answer:

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Step-by-step explanation:

If Rose drove 207 miles in 3 hours, her average speed in mph is 207 mi/3 hrs, or 69 mph. Since the problem says she continues to drive at the same rate, Rose will drive 69(6) miles in 6 hours, or 414 miles.

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4 years ago

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Alenkasestr [34]

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