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fgiga [73]
3 years ago
7

Using the graph above, create a system of inequalities that only contains points B and C in the overlapping shaded regions. Expl

ain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A. (3 points) Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend. (2 points)
Mathematics
1 answer:
k0ka [10]3 years ago
8 0

1. The system of inequality is

y < 1.5x - 3

y < -2x/3 + 4



2. A is (2,-3)

E is (3,1)

-3 < 1.5(2) - 4

-3 < -1

1 < -2(3)/3 + 4

1 < 2



3. You can graph the inequality and see which schools inside the zone. Schools C and B are the schools he is allowed to attend.



hope it helps

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Brian pays £465.98 a year on his car insurance.
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Answer:

<em>£ 449.20</em>

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We have to reduce 465.98 by 3.6%

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3.6/100 = 0.036

Lets find 3.6% of 465.98

That is:

0.036 * 465.98 = 16.77528

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Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7(1x - 3) = 4(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
  4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

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