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2 years ago

6

Tiana can clear a football feild of debris in 3 hours. Jacob can clear the same feild in 2 hours. If they decide to clear the fe

ild together, how long will it take them

1 answer:

OleMash [197]2 years ago

3 0

Answer:

1 hour

Step-by-step explanation:

3 hours subtract 2 hours

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Which ordered pairs are solutions to the inequality y−2x≤−3?

My name is Ann [436]

we will proceed to resolve each case to determine the solution

we have

$y-2x \leq -3$

$y\leq2x-3$

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> $(5,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*5-3$

$-3\leq7$ -------> is true

so

The ordered pair $(5,-3)$ is a solution

<u>case b)</u> $(0,-2)$

Substitute the value of x and y in the inequality

$-2\leq2*0-3$

$-2\leq-3$ -------> is False

so

The ordered pair $(0,-2)$ is not a solution

<u>case c)</u> $(-6,-3)$

Substitute the value of x and y in the inequality

$-3\leq2*-6-3$

$-3\leq-15$ -------> is False

so

The ordered pair $(-6,-3)$ is not a solution

<u>case d)</u> $(1,-1)$

Substitute the value of x and y in the inequality

$-1\leq2*1-3$

$-1\leq-1$ -------> is True

so

The ordered pair $(1,-1)$ is a solution

<u>case e)</u> $(7,12)$

Substitute the value of x and y in the inequality

$12\leq2*7-3$

$12\leq11$ -------> is False

so

The ordered pair $(7,12)$ is not a solution

Verify

using a graphing tool

see the attached figure

the solution is the shaded area below the line

The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality

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5/2x+1 + 8/2x+1, x≠-1/2

svet-max [94.6K]

$\frac{5}{2x + 1} +\frac{8}{2x + 1}$

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