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3 years ago

2 times the square root of 27 minus the square root of 48

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

$2 \sqrt{27}- \sqrt{48}=2 \sqrt{9*3}- \sqrt{16*3} =2*3 \sqrt{3}- 4 \sqrt{3}=6 \sqrt{3}-4 \sqrt{3} = \\ =2 \sqrt{3}$

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vodka [1.7K]

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3 years ago

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F(n)=5.(-2)n-1 Complete the recursive formula of f(n).

Alex73 [517]

Answer:

a(n) = $(-2)(a_{n-1})$

$a_{1}=5$

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = $a(r)^{n-1}$

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = $(a_{n-1}).(r)^{n-1}$

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3 years ago

Which statement is true about the extreme value of the given quadratic equation?

ICE Princess25 [194]

Answer:

Option B. The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

$y=-3x^{2}+12x-33$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

$y=-3(x^{2}-4x)-33$

Complete the square

$y=-3(x^{2}-4x+2^2)-33+12$

$y=-3(x^{2}-4x+4)-21$

Rewrite as perfect squares

$y=-3(x-2)^{2}-21$

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

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notsponge [240]

X=3 Y=4 is your answer

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3 years ago