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Sidana [21]
4 years ago
11

Match the solution set given in inequality notation with the solution set given in interval notation.

Mathematics
1 answer:
iragen [17]4 years ago
6 0

x ≤ a → x ∈ (-∞, a]

x < a → x ∈ (-∞, a)

x ≥ a → x ∈ [a, ∞)

x < a → x ∈ (a, ∞)

--------------------------------------

Therefore:

x ≥ 7.8 → [7.8, ∞)

x < 7.8 → (-∞, 7.8)

x ≤ 7.8 → (-∞, 7.8]

x > 7.8 → (7.8, ∞)

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The value of y varies inversely as the square of x, and y = 16, when x = 3.
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Answer:

The answer is

<h2>12</h2>

Step-by-step explanation:

The above variation is written as

y =  \frac{k}{ {x}^{2} }

where k is the constant of variation

when y = 16

x = 3

k = yx²

k = 16(3)²

k = 16 × 9

k = 144

The formula for the variation is

y =  \frac{144}{ {x}^{2} }

when y = 1

We have

1 =  \frac{144}{ {x}^{2} }

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you

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A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m
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Answer:

There is no solution to this.

Explanation :

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and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)

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It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts

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