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diamong [38]
2 years ago
10

Which expression has the least value when x=100 a. 1/x b. 10/x c. 1-x d. 10-x

Mathematics
2 answers:
taurus [48]2 years ago
8 0

Answer:

c. 1-x

Step-by-step explanation:

If you insert 100 for x, and solve each answer choice, you would get -99 for c. That's the lowest value. Hope this helps.

Mnenie [13.5K]2 years ago
6 0

Least value is too vague.

You can have least positive then answer is A.

You can have most negative then C.

Hope this helps.

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babymother [125]

Answer: f(x) = -0.016x² + 1.6x

Step-by-step explanation:

If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.

So, we have

(0,0) (50,40) (100,0)

A quadratic function is always on the form: f(x) = ax² + bx + c

0 = a0² + b0 + c

40 = a50² + b50 + c

0 = a100² + b100 + c

0 = a0² + b0 + c → c = 0 ∴

40 = a50² + b50

0 = a100² + b100

_________________________

2500a + 50b = 40 (*2)

10000a + 100b = 0

_________________________

5000a + 100b = 80

10000a + 100b = 0 (-)

__________________________

-5000a = 80

-a=80/5000

a=-0.016

∴

2500a + 50b = 40

2500.(-0.016) + 50b = 40

-40 + 50b = 40

50b = 80

b = 80/50

b = 1.6

This way f(x) = -0.016x² + 1.6x

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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6 0
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