A) Isolate y in both inequalities

1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3

B) Draw the lines for the following equalities:

1) y = 4 - x
2) y = 2x - 3

C) Shade the regions of solutions

1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3

The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3

5 0

2 years ago

Sasha is making a quilt. Her pattern requires that 1/4 of the pieces of cloth be green. She has 188 pieces of green cloth. If sh

butalik [34]

Answer:

The answer should be 752

Step-by-step explanation:

You turn 1/4 into a decimal and you get 0.25

Divide 188 by .25 and you should get that answer

6 0

2 years ago

Two of the angles in a triangle measure 57º and 25°. What must be the measure of the

ira [324]

The measure of the third angle in the triangle is 104 degrees

<h3>How to determine the measure of the third angles?</h3>

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y + z = 180

Substitute known values

51 + 25 + z = 180

Evaluate the sum

76 + z = 180

Subtract 76 from both sides

z = 104

Hence, the measure of the third angle is 104 degrees