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qaws [65]
3 years ago
7

Which system of inequalities represents reglon Z? 6

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

A(0,-2), B(1,1)

Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

b=-2 - ----> the point A is the y-intercept

substitute

y=3x-2 - -----> equation of the solid blue line

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

therefore

The first inequality is

y\geq 3x-2

C(0,2), D(5,1)

step 2

Find the equation of the dashed red line

Let

Find the slope of CD

m=(1-2)/(5-0)=-1/5

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

b=2 ----> the point C is the y-intercept

substitute

y=-(1/5)x+2  -----> equation of the dashed red line

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

therefore

The second inequality is

y<-(1/5)x+2

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

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Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willi
Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

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6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

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TO find d, putting the value of i = 2 in equation 1 and solving

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3 years ago
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<u>Given</u>:

The given inequality is 3u+3(u+1)>2u+7

We need to determine the solution of the inequality in interval notation.

<u>Solution of the inequality:</u>

The solution of the inequality can be determined by simplifying the inequality.

Thus, we have,

3u+3u+3>2u+7

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Subtracting both sides by 3, we get;

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Subtracting both sides by 2u, we have;

4 u>4

Dividing both sides by 4, we get;

u>1

Writing it in interval notation, we get;

(1, \infty)

Thus, the solution of the inequality is (1, \infty)

5 0
3 years ago
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