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ella [17]
3 years ago
14

Solve the inequality

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
2 years ago
A cookie recipe calls for 3/4 cup of oatmeal . How much oatmeal is needed to make 3 batches of cookies ?
Vesnalui [34]

Answer:

2 1/4 cups of oatmeal. I think.

3 0
2 years ago
Read 2 more answers
A rectangular garden has a walkway around it. The area of the garden is 4​(6.5x+3.5​). The combined area of the garden and the w
alexdok [17]

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

3 0
3 years ago
Please help me and if I can I’ll help you but please I don’t get it!!
kobusy [5.1K]

Step-by-step explanation:

To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).

\frac{65}{1} =\frac{13}{x}

We use this equation to find x. To solve, we divide 13 by 65 to get our answer.

13 ÷ 65 = 0.2

Our answer: 0.2 hours

4 0
3 years ago
The legs of the right triangle are 2 and 4. Find the length of the hypotenuse.
RoseWind [281]

Correct answer:

19.7ft

Explanation:

This problem is solved using the Pythagorean theorem  (a2+b2=c2).  In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

Correct Answer →19.7ft

Hope this helps!

Sincerely; Victoria<3

8 0
3 years ago
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