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Leviafan [203]
3 years ago
9

1. Is C

Mathematics
2 answers:
earnstyle [38]3 years ago
5 0
1) C. (1,0)
2) A. 4
3) C. I
4) D. (1,1)
5) D
s344n2d4d5 [400]3 years ago
5 0

Answer:

Part 2) the answer is the option A) x=4

Part 3) the answer is the option C) I quadrant

Part 4) the answer is the option D (1,1)

Part 5) the graph in the attached figure

Step-by-step explanation:

<u>Part 2)</u> we have

x-2y\geq 4

Find the x-intercept

the equation of the line is

x-2y= 4

The x-intercept is the value of x when the value of y is equal to zero

For y=0

substitute in the equation of the line

x-2(0)= 4

x=4

<u>Part 3)</u> If x>=0 and y>=0, then which quadrant holds the solution?

we know that

x\geq0 ------> the solution is in the I and IV quadrant

y\geq0 ------> the solution is in the I and II quadrant

The solution of the compound inequality is the common quadrant

so

The solution is in the I quadrant

<u>Part 4) </u> Which ordered pair is a solution of the inequality?

y\geq 4x-5

we know that

If a ordered pair is a solution of the inequality. then the ordered pair must be satisfy the inequality

Substitute the value of x and y of the point (1,1) in the inequality

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point (1,1) is a solution of the inequality

<u>Part 5)</u> we have

y> -5x+3

we know that

The solution is the shaded area above the dashed line

The equation of the line is y=-5x+3

The slope of the line is negative

The y-intercept is the point (0,3)

The x-intercept is the point (0.6,0)

using a graphing tool

see the attached figure

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