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IRISSAK [1]
3 years ago
14

Plz answer the following No scams,links or random amswers or ill report​

Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

f(2) = 12

f(x) = 7, x = -3, 1

Step-by-step explanation:

<u>a)</u>

plug in x as 2

f(x) = 2^2 + 2(2) + 4

f(x) = 4 + 4 + 4

f(x) = 12

<u>b)</u>

replace f(x) with 7

7 = x^2 + 2x + 4

x^2 + 2x - 3 (move 7 to other side)

Factor

ac: -3x^2

b: 2x

split b into 3x, -x

(x^2 -x) + (3x - 3)

    ↓             ↓

  x(x-1)  +  3(x-1)

Factor: (x-1)(x+3) = 0

Solve using Zero Product Property:

x - 1 = 0, x + 3 = 0

x = 1, x = -3

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y > -2 x + y < 4

using a graph tool

see the attached figure

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<u>Part 1) </u>Name an ordered pair that is a solution to this system and explain how you know that this is a solution point

Let

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The point A is solution of the system because the point lie on the shaded area

<u>Check</u>

If the point A is solution of the system must satisfy both system inequalities

point A

x=-40

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substitute

y > -2-------> 20 > -2-------> is ok

x + y < 4----> -40+20 < 4-----> -20 < 4-----> is ok

therefore

<u>the answer Part 1) is</u>

The point A is a solution of the system

Part 2) Name an ordered pair that is not a solution to the system and explain how you know that it is not a solution

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B(20,20)

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<u>Check</u>

If the point B is not solution of the system must not satisfy both system inequalities

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y > -2 -------> 20 > -2-------> is ok

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therefore

<u>the answer part 2) is</u>

The point B is not a solution to the system

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This means that p = 0.352

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