James and Sarah went out to lunch. The price of lunch for both of them was $80. They tipped their server 25% of that amount.

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

$12

Explanation:

They tipped to their server = 20% of $20 = 20/100 * 20 = $4

total they have paid = $20 + $4 = $24

So each person paid = $24÷2 = $12

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

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Equation Given
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x² + 2x = 17

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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17

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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17

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Form the perfect square
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(x + 1)² - 1 = 17

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Add 1 to both sides
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(x + 1)² = 17 + 1
(x + 1)² = 18

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Square root both sides
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√(x + 1)² = $\pm$ √18

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Solve for x
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x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

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Answer: x = x = 3.24 or - 5.24
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F(x)=-x^2+6x+14 vertex

sasho [114]

Answer:

Vertex: (3, 23)

Step-by-step explanation:

a = -1 b = 6 c = 14

x vertex = $\frac{-b}{2a}$