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3 years ago

Which of the following points is in the solution set of y < x^2 - x - 6?

Mathematics

2 answers:

boyakko [2]3 years ago

8 0

Answer:

(3,-2) not given in the options.

Step-by-step explanation:

The points may be determined by solving the quadratic equation. This can be done through the factorization method with y equated to 0.

It means that

x^2 - x - 6 = 0

x^2 - 3x + 2x - 6 = 0

x(x - 3) +2 (x - 3) = 0

(x - 3)(x + 2) = 0

x = 3 or -2

kherson [118]3 years ago

6 0

The answer is (-2, -1), because when substituted in the expression is correct:
-1 < 4 - -2 - 6
-1 < 6 - 6
-1 < 0

I hope this helps!

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3 years ago

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3 years ago

Read 2 more answers

Convert y + 3 = -3(x + 5) to standard form.

emmasim [6.3K]

Hi there!

$y + 3 = - 3(x + 5)$
First we need to work out the parenthesis, which can for instance be done using rainbow technique.

$y + 3 = - 3x - 15$
Now subtract 3 from both sides.

$y = - 3x - 18$
And finally add 3x to both sides.

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The 4th answer choice is correct.

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3 years ago