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4 years ago

What value for x makes the equation 11x – 10 = 4(x + 2) + 10 true?

1 answer:

6 0

11 x - 10 = 4 ( x + 2 ) + 10
11 x - 10 = 4 x + 8 + 10
11 x - 4 x = 8 + 10 + 10
7 x = 28
x = 28 : 7
x = 4
Answer: A ) 4

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Step-by-step explanation:

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3 years ago

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alex41 [277]

Answer:

Part A) The system of inequalities is

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Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

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$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

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we know that

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Inequality B

$y\geq2$ ------> $2\geq2$ ----> is true

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F(3,4)

Inequality A

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Inequality B

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therefore

Point D is a solution of the system of inequalities

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we have

$y < -2x+2$

The solution of the inequality is the shaded area below the dotted line $y=-2x+2$

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

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see the attached figure N 2

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