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3 years ago

What is the solution for the equation |2x - 3|=5?

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

X=3

Step-by-step explanation:

12x-31=5

12x - 31 - 31 = 5 + 31

12x = 26

12x / 12 = 26 / 12

x = 3

To solve the equation you take 31 to the right by subtracting it from the left then adding it to the right.

From there you divide each side by 12

HOPE IT HELPED

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2 years ago

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2 years ago

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Hope this helps. Anymore questions?

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2 years ago

Read 2 more answers

zmey [24]

Answer:

Part 1) The inequality that represent this situation is $5(x+7)^{2} \geq1,050$ or $5x^{2}+70x+245 \geq1,050$

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ----> the width of Andrew's tablet

we know that

$L=5W$ ------> equation A

$W=x+7$ ----> equation B

The area of the television is

$A=LW$ -----> equation C

Substitute equation A and equation B in equation C

$A=5(x+7)(x+7)$

$A=5(x+7)^{2}$

$5(x+7)^{2} \geq1,050$

$5(x^{2}+14x+49) \geq1,050$

$5x^{2}+70x+245 \geq1,050$ ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

$5(8+7)^{2} \geq1,050$

$5(15)^{2} \geq1,050$

$1,125 \geq1,050$ -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0

2 years ago

Area of a regular hexagon with a base of 10 and an apothem of 12

Katen [24]

<span>Draw a regular hexagon. Connect the center to each of the six vertices. Thus, you have six triangles, each with base 10.. The apothem is the height of each triangle. Then the area of each triangle is (1/2)(10)(12) = 60. You have six triangles so the aarea of the hexagon is 6*60 = 360.</span>

3 0

3 years ago