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2 years ago

Function: y=x2+5x−7Vertex: ( , )Solutions: ( , ) and ( , )

Mathematics

1 answer:

Dima020 [189]2 years ago

6 0

Answer:

vertex : (-5/2, -53/4)

solutions: (-(5-sqrt53)/2, 0) (-(5+sqrt53)/2, 0)

Step-by-step explanation:

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Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

Caffeine metabolize at a rate of 13% per hour, hence $r = 0.13$ .

Then:

$A(t) = A(0)(1 - r)^t$

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$A(t) = A(0)(0.87)^t$

$A(8) = 150(0.87)^8$

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Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

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This A(0), considering A(11) = 50, hence:

$50 = A(0)(0.87)^{11}$

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A similar problem is given at brainly.com/question/25537936

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