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Nesterboy [21]
3 years ago
12

Find the rate change from 1 minute to 4 minutes

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0
The rate change is 3 minutes
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Given the function f(x) = -2c+cx-x^2, and f^-1(5) = -1, find c
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Answer:

c=-2

Step-by-step explanation:

We are given the function:

f(x) = -2c + cx - x^2

And that:

\displaystyle f^{-1} (5) = -1

And we want to determine the value of <em>c</em>.

Recall that by definition of inverse functions:

\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

f(-1) = 5 = -2c + c(-1) - (-1)^2

Simplify:

5 = -2c - c - (1)

Combine like terms:

6 = -3c

And divide. Hence:

c = -2

In conclusion, the value of <em>c</em> is -2.

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You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of th
romanna [79]

Answer:

[45tan(82°)+123] meters

A is correct

Step-by-step explanation:

You are standing 45 meters from the base of the Empire State Building.

You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°.

If the total height of the building is another 123 meters above the 86th floor.

OB = 45 m , ∠O= 82°

In Δ OBA, ∠B = 90°

\tan82^\circ=\dfrac{AB}{OB}

\tan82^\circ=\dfrac{AB}{45}

AB=45\tan82^\circ

Top of the building, T at 123 m from A

Total height of building = BA + AT

                                =45\tan82^\circ+123\text{ meters}

Hence, The height of building from ground is [45tan82°+123] meters

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Natali5045456 [20]

Answer:

A. 4

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i guess it A. 4 i dunno

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