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Ket [755]
2 years ago
10

Determine whether or not the three points are on the same line. (1, -3) (3, 1) (5, 7)

Mathematics
1 answer:
alukav5142 [94]2 years ago
6 0

Answer:

They are on the same line

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
1 year ago
When the solution to x2 − 11x + 5 is expressed as 11 plus or minus the square root of r, all over 2, what is the value of r? x e
soldi70 [24.7K]

Answer:

C = 101

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Write (4p^4) ^2 without exponents.
Inessa [10]

Answer:

(4p * 4p * 4p * 4p) * (4p * 4p * 4p * 4p)

Step-by-step explanation:

exponent is the number being multiplied by itself a number of times

2^4 is 2*2*2*2

3^1 is 3

7 0
2 years ago
The absolute value of any real number is
Katyanochek1 [597]

Answer:

The non-negative value of x without regards to it's sign. Hope this helps!

Step-by-step explanation:

7 0
2 years ago
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Find an (rational) approximation of the following values with the
Dmitry_Shevchenko [17]
The right answer for this one is c
3 0
2 years ago
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