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irina [24]
3 years ago
6

Let $x$ be the positive number such that $2x^2 = 4x + 9.$

Mathematics
1 answer:
loris [4]3 years ago
4 0

Solve for x. I'll do it by completing the square:

2x² = 4x + 9

2x² - 4x = 9

x² - 2x = 9/2

x² - 2x + 1 = 11/2

(x - 1)² = 11/2

x - 1 = ± √(11/2)

x = 1 ± √(11/2)

x = 1 ± √22/2

x = (2 ± √22)/2

Take the solution with the positive square root. Then it follows that a = c = 2 and b = 22. So a + b + c = 26.

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3 years ago
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Answer:

<h2>(3, -2)</h2>

Step-by-step explanation:

Put the coordinates of the points to the inequality and check:

y < -1/2x + 2

for (2, 3) → x = 2, y = 3

3 < -1/2(2) + 2

3 < -1 + 2

3 < 1     FALSE

============================

for (2, 1) → x = 2, y = 1

1 < -1/2(2) + 2

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1 < 1    FALSE

============================

for (3, -2) → x = 3, y = -2

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============================

for (-1, 3) → x = -1, y = 3

3 < -1/2(-1) + 2

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6 0
3 years ago
T(x) = 7x, t(x) = 49
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Answer:

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Step-by-step explanation:

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