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Radda [10]
3 years ago
8

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}

so

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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kifflom [539]

Answer:

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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 ...

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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.

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<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.)

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3 years ago
Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n
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Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

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Since the slopes of function are different, therefore the given function is non-linear.

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