Which linear inequality is represented by the graph?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

6 0

Answer:

c,y>2/3x-1/5

Step-by-step explanation:

Tema [17]3 years ago

3 0

Answer:

$y\leq \frac{2}{3}x+\frac{1}{5}$

Step-by-step explanation:

step 1

Find the equation of the solid line

Find the slope

we have

(0,0.2) and (3,2.2)

$m=(2.2-0.2)/(3-0)=\frac{2}{3}$

The y intercept b is equal to

$b=0.2=\frac{2}{10}=\frac{1}{5}$

the equation of the solid line in slope intercept form is equal to

$y=\frac{2}{3}x+\frac{1}{5}$

step 2

Find the equation of the inequality

we know that

The solution of the inequality is the shaded area below the solid line

therefore

$y\leq \frac{2}{3}x+\frac{1}{5}$

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Determine the slope of each side of the polygon

Pavlova-9 [17]

W- (3,4)
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7 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

kifflom [539]

Answer:

0.83
0.9
steeper than
slower than

Step-by-step explanation:

Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.

Michael climbs 9 stairs in 10 seconds so his rate is ...

... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second

Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.

Ted climbs fewer stairs per second, so his rate is slower than Michael's.

_____

<em>Comment on the problem</em>

You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)