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Triss [41]
3 years ago
7

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

y =  {x}^{2}  - 4x + 7 \\ y = (x - 2) {}^{2}   - 4 + 7 \\ y =  {(x - 2)}^{2}  + 3

Therefore, axis of symmetry is <u>x</u><u> </u><u>=</u><u> </u><u>2</u>

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umka2103 [35]

Answer:

1. yes

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6 0
2 years ago
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6= 24-6a what is a.......................
AnnyKZ [126]

Answer:

3

Step-by-step explanation:

6=24-6a

6a=24-6

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3 0
3 years ago
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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
Write an equation of the line that passes through the points (-3,-4),(6,-1)
klasskru [66]
Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
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m = --------------
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Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0
3 years ago
The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.
faust18 [17]
R^2=16
Therefore R=4
7 0
3 years ago
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