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3 years ago

State the system of linear inequalities which satisfies the following shaded regions. help ??asappp

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

Find the equation of the line that does not have an equation written for it.

(4, -4) (0,-2)

m = (-2 + 4) / (0 - 4)

m = 2 / -4 = -1/2

y = -1/2x - 2

Let's now look at all of these different lines we have. For the two intersecting lines, we know that the bottom one must be greater than and the top must be less than. And because these are solid lines, they are greater/less than or equal to. For the dotted line, we know that x must be less than because the line is dotted and the shading is to the left.

y ≤ x - 2

x < 4

y ≥ -1/2x - 2

Hope this helps! :)

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3 years ago

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3 years ago

A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds

valentina_108 [34]

To find the acceleration of the bicycle rider, we are going to use the acceleration formula: $a= \frac{v_{f}-v_{i}}{t}$
where
$a$ is the acceleration
$v_{i}$ is the initial speed
$v_{f}$ is the final speed
$t$ is the time

We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, $v_{i}=5$ , $v_{f}=15$ , and $t=10$ . Lets replace those values in our formula:
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$a= \frac{10}{10}$
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We can conclude that the acceleration of the bicycle rider 1 m/s^2

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3 years ago