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RideAnS [48]
3 years ago
15

Solve x^2 +5x - 14 = 0​

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

x = - 7, x = 2

Step-by-step explanation:

Given

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5 , thus

(x + 7)x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

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Graph the following inequality. Then click to show the correct graph. x < -1
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The graph in the attached figure

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3 years ago
the table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers,w
balandron [24]

Answer:

<u>The greatest depth of the  Southern Ocean is 7.24 kilometers</u>

Correct statement, question and data:

The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the  Southern Ocean?

Please see the table attached.

Source:

Question that can be found at mathpractice101

Step-by-step explanation:

Let's answer the question, this way:

Depth of the Southern Ocean = x

For solving x, we have:

(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094

10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)

33.23 + x = 40.47

x = 40.47 - 33.23 (Subtracting 33.23 at both sides)

<u>x = 7.24</u>

<u>The greatest depth of the  Southern Ocean is 7.24 kilometers</u>

6 0
3 years ago
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