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4 years ago

GRAPHING INEQUALITIES

Mathematics

1 answer:

Rudiy274 years ago

6 0

I don’t know put 2x on the x axis and dot 0 on the y axis

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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

dexar [7]

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:

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

6 0

3 years ago

Can a hypothesis ever be 100% proven as a fact? why

Aneli [31]

Yes...the person's hypothesis could be correct.

6 0

3 years ago

Thanks for helping...

slava [35]

Answer:

Step-by-step explanation:

Subtracting the given expressions, that is

3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis

= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

7 0

3 years ago

If a line goes through the following two points: (0,0) and (2,1), the slope of the line is:

luda_lava [24]

Answer: m = 1/2

Step-by-step explanation: Let's use the graphing method.

To find the slope of the line using the graphing method,

we first set up a coordinate system.

Next, we plot our two points, (0, 0), which we label point A, and (2, 1),

which we label point B, and we graph our line, as shown below.

Now just graph the line through the two points.

Now, remember that the slope, or m, is equal to the

rise over run from point A to point B.

To get from point A to point B, we rise 1 unit and run 2 units.

So our slope, or rise over run, is 1/2.

8 0

3 years ago

Read 2 more answers

What are the integer solutions to the inequality below?<br><br> 4x+1<5x≤3(x+2)

Sindrei [870]

Answer:

1<x≤3

Step-by-step explanation:

7 0

3 years ago