Mathematics, 15.07.2019 09:10 jeonkara

Acity determines that a planned community must have at least 4 acres of developed and open space, and the difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1. which graph represents the system of inequalities for this scenario? x + y ≤ 4 y – x ≥ 1

Acity determines that a planned community must have at least 4 acres of developed and open space, an

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Answer from: coollid876

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of open acres

y ----> the number of developed acres

we know that

$x+y \geq 4$ -----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=4

$y-x\leq 1$ -----> inequality B

The solution of the inequality B is the shaded area below the solid line y-x=1

The graph in the attached figure

Acity determines that a planned community must have at least 4 acres of developed and open space, an

Answer from: han6077

Option B.

Step-by-step explanation:

Let x be the number of open acres and y be the number of developed acres.

It is given that a community must have at least 4 acres of developed and open space.

$x+y\geq 4$

The difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1.

$y-x\leq 1$

The relative equations of both inequalities are

x+y=4

y-x=1

The table of values

For line 1 For line 2

x y x y

0 4 0 1

4 0 -1 0

Plot these ordered pairs on a coordinate plane and draw both lines.

The related line of first inequality is a solid line and shaded area lies above the line because the sign of inequality is ≥.

The related line of second inequality is a solid line and shaded area lies below the line because the sign of inequality is ≤.

Therefore, the correct option is B.

Answer from: Quest

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

$x=\sqrt{y-9}$

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

$x^2=y-9$

hence we see that x is squared and its coefficient is non negative . there for it opens up.

Answer from: Quest

step-by-step explanation:

because there are always 10 numbers in a phone number.

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