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3 years ago

Answer these questions please please

Mathematics

1 answer:

Natalka [10]3 years ago

4 0

Answer:

Step-by-step

i) a² - 2ab + b² = (a + b)²

a² = p² ; a = p

b² = 16 = 4² ; b = 4

2ab = 2*p*4 = 8p

p² - 8p + 16 = (p - 4)²

ii) a² + 2ab + b² = (a +b)²

a² = 121x² = (11x)² ; b² = 4y² = (2y)²

2ab = 2 * 11x * 2y = 44xy

121x² + 44xy + 4y² = (11x + 2y)²

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3 years ago

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Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

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Check both inequalities of all given ordered pairs.

For (5,6),

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$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

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$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

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