What values of x makes this equation true? (2x+6)^2-14=30

1 answer:

6 0

$(2x+6)^2-14=30 \\ \\ (2(x + 3))^2 - 14 = 30 \\ \\ 2^2 (x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 = 30 + 14 \\ \\ 4(x + 3)^2 = 44 \\ \\ (x + 3)^2 = \frac{44}{4} \\ \\ (x + 3)^2 = 11 \\ \\ x + 3 = \pm \sqrt{11} \\ \\ x = \sqrt{11} - 3, - \sqrt{11} - 3 \\ \\$

The final result is: x = √11 - 3, -√11 - 3.

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Answer:

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Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

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Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

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5.) To find the percentage of the new price, you can build the equation below.

$\frac{new price}{original price} = \frac{percent}{100}$

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$20,000,000 = 300,000x$

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The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

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2 years ago

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