Solve the equation for x, where x is a real number (5 points): -3x^2 + 6x + 9 = 7

1 answer:

7 0

Add -7 to both sides so that the equation becomes -3x^2 + 6x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                       x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                       x = [ -6 ± √((6)^2 - 4(-3)(2)) ] / ( 2(-3) )
                                       x = [-6 ± √(36 - (-24) ) ] / ( -6 )
                                       x = [-6 ± √(60) ] / ( -6)
                                       x = [-6 ± 2*sqrt(15) ] / ( -6 )
                                       x = 1 ± -sqrt(15)/3
The answers are 1 + sqrt(15)/3 and 1 - sqrt(15)/3.

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Round £168.51 to the nearest pound

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The required round of £168.51 to the nearest pound is £169.

Given that,
To round £168.51 to the nearest pound.

<h3>What is rounding of values?</h3>

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
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Thus, the required round of £168.51 to the nearest pound is £169.

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Which function is equivalent to g (k) = -k'+ 6k-9?

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I believe it’s g(k)=(-k- 3)(-k+3)

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