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3 years ago

Convert the function into intercept form. Show your work. y=-x^2+5x+36

1 answer:

7 0

Y = -x2 + 5x + 36 → y = -(x2 -5x -36)

→ y = -(x2 - 9x +4x - 36)

→ y = -[x(x-9) + 4(x - 9)]

→ y = -(x - 9)(x + 4)

Your answer would be y=-(x-9)(x+4).

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2 years ago

Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69

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(a) 7.6%

(b) 46.2% 42.4%

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(a)According to the definition of Continuous probability distribution

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$f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}$

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(b) Given F(69) = 0.5

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$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}$

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$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}$

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

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3 years ago