For the function f defined below, evaluate f (3,7), f(4,4), and f (1,5)

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer:

Step-by-step explanation:

$f(3,7)=\frac{3+7}{2(3)+7}=\frac{10}{13}\\f(4,4)=\frac{4+4}{2(4)+4}=\frac{8}{12}=\frac{2}{3}\\f(1,5)=\frac{1+5}{2(1)+5}=\frac{6}{7}$

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aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

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Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

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