3 years ago

For the function F(x)=2x+15x−2, evaluate F(−6)

Mathematics

1 answer:

Sholpan [36]3 years ago

7 0

F(-6) = 2(-6)+15(-6)-2 = -12-90-2 = -104

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An algorithm takes 0.5 seconds to run on an input of size 100. How long will it take to run on an input of size 1000 if the algo

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Answer:

linear: 5s

quadratic: 50s

log-linear: 0.75 s

cubic: 500s

Step-by-step explanation:

Let $t_1,t_2$ be the running time associated with the input of sizes $s_1,s_2$

If the running time is linear

$t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s$

If the running time is quadratic

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^2 = 0.5*\left(\frac{1000}{100}\right)^2 = 0.5*10^2 = 50s$

If the running time is log-linear

$t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s$

If the running time is cubic:

$t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s$

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Step-by-step explanation:

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Answer:

Use the distributive property to write an equivalent expression 2f + 10 answers: a. f(2 +10) b. 2(f + 5) c. 2(f + 10)

Step-by-step explanation:

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True
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