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Lubov Fominskaja [6]

3 years ago

14

Last week a certain brand of hand lotion cost $3.00 for a 16-ounce bottle. this week the hand lotion is on sale for $2.40 for a

16-ounce bottle. which is the percent decrease in the price of the hand lotion?
A:16%
B:13%
C:20%
D:25%

please show work thank you.

1 answer:

Yanka [14]3 years ago

6 0

$3.00-$2.40 = $0.60
$0.60/$3.00 = $0.2
$0.2x100 = 20% decrease

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The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never

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ANSWER

$\boxed{Always}$
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The identity

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We can verify this by simply expanding the brackets using the distributive property to obtain,

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<h2>Question :</h2>

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<h2>Answer :</h2>

$\large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}$

<h2>Explanation :</h2>

$\tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}$

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$\large \underline{\boxed{\bf{(a+b)^{2} = a^{2} + b^{2}+ 2ab}}}$
$\large \underline{\boxed{\bf{(a-b)^{2} = a^{2} + b^{2} - 2ab}}}$
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<u>By cross multiply</u> :

$\tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)$

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$\tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0$

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