6x=10^= (*=0) is the answer
Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.
Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by <span>(-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.
An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.
Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.
Substituting C(2, 2) into the system we have:
2 > 0
2 > 0
as can be seen the two inequalities above are true, hence point C is a solution to the set of inequalities.
Part C:
Given that </span><span>Natalie
can only attend a school in her designated zone and that Natalie's zone is
defined by y < −2x + 2.
To identify the schools that
Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.
For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true
For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true
For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false
For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true
For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false
For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false
Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.
</span>
<span>B) Observe several cases of people ordering food of varying spice-levels and number of soft drinks ordered. thats what i think though.</span>
Answer:
x = HJ/5 + 3/5
HJ = 5x - 3 = 5 (11) - 3 = 55 - 3 = 52
JK = 8x - 9 = 8(11) - 9 = 88 - 9 = 79
The lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft
<h3>How to solve Algebra word Problems?</h3>
Let the length of the first piece be x.
Let the length of the second piece be 2x
Let the length of the thrid piece be 4x
Since the total length of the piece is 56 ft, then we can say that;
x + 2x + 4x = 56
7x = 56
x = 56/7
x = 8 ft
Thus, length of first piece = 8 ft
Length of second piece = 2 * 8 = 16 ft
Length of third piece = 4 * 8 = 32 ft
Thus, the lengths of the first, second and third piece are respectively 8 ft, 16 ft and 32 ft
Read more about Algebra Word Problems at; brainly.com/question/13818690
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