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2 years ago

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

1 answer:

6 0

Answer: $\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}$

Step-by-step explanation:

$2x-5\le \:-x+12$

$2x\le \:-x+17\\$

$2x+x\le \:-x+17+x$

$3x\le \:17$

$\frac{3x}{3}\le \frac{17}{3}$

$x\le \frac{17}{3}$

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<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

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Distance traveled in water = Average velocity in water x Time in water

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That is

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We have

s = 16 x t₁

112 = 16 x t₁

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t₁ + t₂ = 12

7 + t₂ = 12

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The stone fall in air for 7 seconds and fall in water for 5 seconds.

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