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givi [52]
3 years ago
8

For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.

Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

  x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

  x^2 -5x -4 ≤ 10

can be rewritten as ...

  x^2 -5x -14 ≤ 0

and factored as ...

  (x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

  x ∈ [-2, 7]

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KiRa [710]

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we don't have solutions !!

3 0
3 years ago
. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
MAXImum [283]
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6 0
3 years ago
Can you please solve and explain how
Karolina [17]

First, it would help to simplify each side more:

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Write the simplified equation:

12x + 9 = 2cx + c + 25

Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:

2cx >>> 12x

Then, c must equal 6 to make this true.

The answer is choice (C).

6 0
3 years ago
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I agree with the top guy
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Butoxors [25]

Answer:6 x 4 = 24

Step-by-step explanation:

im not sure what was so hard

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