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spin [16.1K]
3 years ago
10

Please help!!!! If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

f(1) = 2

Now, we find f(2) in function of f(1). So

f(1+1) = f(1)^2 - 3

f(2) = f(1)^2 - 3 = 2^2 - 3 = 1

Now, with f(2), we can find the value of f(3).

f(2+1) = f(2)^2 - 3

f(3) = f(2)^2 - 3 = 1^2 - 3 = -2

The value of f(3) is -2.

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Answer:

Area = 18 sq. inches

Step-by-step explanation:

Hypotenuse = 6√2

as it is a right angled triangle and one of the angles is 45°,

=> the other angle is also 45°.

According to 45°-45°-90° theorem,

the side is 1/√2 times the hypotenuse.

Therefore, side = 6√2 × 1/√2

=6 inches.

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= 1/2 × 6 × 6

= 1/2 × 36

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Step-by-step explanation:

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6 0
2 years ago
AWARDING EXTRA POINTSWhat is the distance between point A (-3, -2) and Point B (4, -7)?
kenny6666 [7]

Answer:

Hi there!

Your answer is:

<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

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Plug in to distance formula

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This equals roughly 8.6 units!

4 0
3 years ago
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