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Sergeeva-Olga [200]
2 years ago
8

For what value of x is the square of the binomial x+1 one hundred and twenty greater than the square of the binomial x-3

Mathematics
1 answer:
My name is Ann [436]2 years ago
3 0

Answer:

<u><em>x = 16</em></u>

Step-by-step explanation:

<em>(x + 1)² = (x - 3)² + 120</em>

<em>x² + 2x + 1 = x² - 6x + 9 + 120</em>

<em>8x = 128</em>

<em>x = 16</em>

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Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas
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Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

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Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

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She will spend no more than twice as much on sports drinks as bananas

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= p + 0.5b + 2d < 10

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A: p + 0.5b + 2d < 10

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D: b > 3p

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