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Leona [35]
3 years ago
11

Solve 2x2 + 12x − 14 = 0 by completing the square.

Mathematics
2 answers:
horsena [70]3 years ago
8 0
2x^2 + 12x-14 = 0\\2(x^2+6x-7)=0\ /:2\\x^2+6x+9-16=0\\x^2+6x+9=16\\(x-3)^2=4^2\\x-3=4\ \ \ or\ \ \ x-3=-4\\x=7\ \ \ \ \ \ \ \ \ or\ \ \ x=-1\\\\Ans.\ x=7\ or\ x=-1
andrey2020 [161]3 years ago
3 0
2x^2+12x-14=0\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2+6x-7=0\\\\x^2+2x\cdot3=7\ \ \ \ |add\ 3^2\ to\ both\ sides\\\\x^2+2x\cdot3+3^2=7+3^2\\\\(x+3)^2=7+9\\\\(x+3)^2=16\iff x+3=-\sqrt{16}\ or\ x+3=\sqrt{16}\\\\x+3=-4\ or\ x+3=4\\\\x=-4-3\ or\ x=4-3\\\\\boxed{x=-7\ or\ x=1}

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Read 2 more answers
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K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. R
Elan Coil [88]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

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Where

x1 = mean sale amount for mail order sales = 82.70

x2 = mean sale amount for internet sales = 66.9

s1 = sample standard deviation for mail order sales = 16.25

s2 = sample standard deviation for internet sales = 20.25

n1 = number of mail order sales = 17

n2 = number of internet sales = 10

For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small

Degree of freedom =

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z = 2.787

Margin of error =

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