Consider the quadratic function:

f(x) = x2 – 8x – 9

Vertex: (StartFraction negative b Over 2 a EndFraction, f (StartFraction negative b Over 2 a))

What is the vertex of the function?

THE ANSWER IS ( ⇒ 4, ⇒ -25) ON EDGE

vertex = (4, - 16 )

Step-by-step explanation:

Given a quadratic in standard form, f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

= -

f(x) = x² - 8x - 9 ← is in standard form

with a = 1, b = - 8, thus

= - = 4

Substitute x = 4 into f(x) for corresponding y- coordinate

f(4) = 4² - 8(4) - 9 = 16 - 32 - 9 = - 16

vertex = (4, - 16 )

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

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