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sladkih [1.3K]
3 years ago
11

If b = 3, then b ^-2 is equivalent to 9 09 -6 01

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer:

1/9 = 0.11111111 ( infinite )

Step-by-step explanation:

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Plz help me get the right answer to these
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A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
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Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

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Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

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Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

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D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

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a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

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c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

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