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Is $(1,\ 10)$ a solution to this system of inequalities? $\newline$ y < x + 9 $\newline$ y > 2x + 5 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Is (x, y) a solution to the system of inequalities?

Full solution

Q. Is

(1,\ 10)

a solution to this system of inequalities?

\newline

y < x + 9

\newline

y > 2x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point: Does the point $(1, 10)$ satisfy the inequality y < x + 9? $\newline$ Substitute $x = 1$ and $y = 10$ into the inequality y < x + 9. $\newline$ 10 < 1 + 9 $\newline$ 10 < 10 $\newline$ The inequality is not satisfied because $10$ is not less than $10$ ; it is equal to $10$ .

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Question

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

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of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

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Question

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

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. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

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Show how to approximate the required work (in J) by a Riemann sum. (Let

x

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x_{i}^{* *}

x_{i}

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\newline

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\newline

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\newline

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