The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are

produced when the cost is $19. Round your answers to the nearest whole number

All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or

equation, must be on a new line.

Answers

Answer 1

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers


Related Questions

The circumference of a circle is 14\piπ in. Find its diameter, in inches.

Answers

Answer:

4.46 will be the diameter

The formula for circumference is diameter x pi

Since the circumference is given in terms of pi, the diameter is the number given.

Diameter = 14 inches.

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Answer:

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Step-by-step explanation:

The coeficcent of a term xa where a is the variable is x. Thus 13a results in 13 as the coeficcent

Answer:

Step-by-step explanation:

The coefficient is the constant multiple of a which is 13.

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Answers

Answer:x=3

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Given

x-4=-x+2

Add x on both sides

x-4+x=-x+2+x

2x-4=2

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10 is the answer for the blank

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Answer:

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Step-by-step explanation:

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16. Linear

18. Not Linear

Step-by-step explanation:

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a line is translated. Which of these could be the results

Answers

Answer:

D

Step-by-step explanation:

D is the only choice that actually contains a line.

A is a ray.

B is a parabola.

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Cassie Goes to Buffalo Wild Wings with her 2 sister. It is her turn to pay for dinner. Because she is more generous than her sister, she decides to give a 25% tip to their sever. If in total she paid $70.15, what was the price of the food and drinks only?

Answers

Answer:

The price of food and drinks only is: 52.61

Step-by-step explanation:

I did the simple cross multiply divide

multiply 70.15 by 25 round to nearest tenth (since it is money) giving you17.54 then subtract 17.54 from 70.15 giving you 52.61.

MAKE ME BRAINLIST PLZ and thank you

Is the trinomial a perfect square? write yes or no. x^2+12x+36

Answers

Answer:

no

Step-by-step explanation:

A lumberjack found 280 trees on a 1.5-acre plot ready for harvest. On the west side, he found 260 trees on a 1.9-acre plot. Which plot has a greater rate of harvest-ready trees per acre?

Answers

Answer:

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Step-by-step explanation:

It has more trees with less acres already without any calculations.

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Answers

Answer:

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Step-by-step explanation:

y=mx+b

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Answers

Answer:

1.9 Amps

Step-by-step explanation:

In an RC circuit, the relationship between the current I in amps, the impedance Z in ohms and the voltage V in volts may be stated as

V = IZ

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Divide both sides by 52.5

I = 100/52.5

= 1.9 Amps

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William has $7.50 to spend at the pretzel shop. A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p Which inequality can be used to find the number of pretzels William can buy?

Answers

Complete Question

William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?

a) 1.25p−0.9≤7.5

b) 1.25p+0.9≤7.5

c) 1.25p+0.9≥7.5

d) 1.25+0.9p≤7.5

Answer:

b) 1.25p+0.9≤7.5

Step-by-step explanation:

William has $7.50 to spend at the pretzel shop.

This means Williams can spend at least $7.50

A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel

Therefore, the inequality can be used to find the number of pretzels William can buy is written as

1.25p+0.9≤7.5

Option b is the correct option

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

12 months

Step-by-step explanation:

Given data

Gym A

charges $25 per month plus a $60 initiation fee

let the number of months be x

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Gym B

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let the number of months be x

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y=30x---------------2

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divide both sides by 5

x= 60/5

x= 12

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Answer:

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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