MATHEMATICS HIGH SCHOOL

A system of linear inequalities is shown below.x + y _ 4
y < 2x - 3

Describe the steps to graph the solution set to the system of inequalities.

Answers

Answer 1
Answer: 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


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The time to digest the food in the small intestine is about:A : Six hours

B : Thirty Minutes

C : Three hours

D : Ten hours

Answers

After you eat, it takes about six to eight hours for food to pass through your stomach and small intestine. Food then enters your large intestine (colon) for further digestion, absorption of water and, finally, elimination of undigested food. So I would probably say six hours.

Answer: A


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Simplify 2a2b3(4a2 + 3ab2 – ab) = ? A. 8a4b3 + 6a3b5 + 2a3b4
B. 8a4b3 + 6a3b5 – 2a3b4
C. 8a4b5 + 3a3b5 – 2a3b4
D. 8a4b5 + 3a3b5 + 2a3b4

Answers

2a²b³(4a² + 3ab² - ab)
2a²b³(4a²) + 2a²b³(3ab²) - 2a²b³(ab)
8a⁴b³ + 6a³b⁵ - 2a³b⁴

The answer is B.

What adds to 8 and multiplies to negative 9

Answers

9x-1=-9
-9+1=-8 or 9-1=8 you can work out either way

Evaluate the polynomial 6x - y for x = 3 and y =4

Answers

6 x 3 is 18.  y is equal to 4.  18 minus 4 is 14.  The answer is 14.

Write this equation: 8.75×10−4 in standard notation

Answers

To write in standard notation means writing the equation "normally", solving it and then writing the resulting number in its extensive form with all explicit digits. 10^-4 is 0,0001, so: 8,75x0,0001=0,000875

You cannot bisect an angle using paper folding constructions True or False

Answers

Answer:

The given statement:

You cannot bisect an angle using paper folding constructions is a False Statement.

Step-by-step explanation:

The construction of a angle bisector with the help of paper folding is done by:

  • Draw a angle ACB on a piece of paper such that the ray CB lie on the base.
  • Fold the paper in such a way that ray AC falls along the ray CB.
  • draw the line along the crease that is formed on the paper starting from point C.
  • So, the ray so formed is the angle bisector of the angle ACB.
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