Determine the solution for x2 + 36 > 12x

solution for x^2 + 36 > 12x is x > 6 or x< 6

Step-by-step explanation:

We need to solve the equation:

x^2 + 36 > 12x

Subtract 12x from both sides

x^2 + 36 - 12x > 0

Rearranging

x^2 -12x + 36 > 0

Now factorizing:

x^2 -6x -6x + 36 >0

x(x-6)-6(x-6) > 0

(x-6)(x-6) > 0

(x-6)^2 > 0

For, x^n > 0 and n is even then x >0 or x<0

so,

x-6 >0 or x-6 <0

x > 6 or x< 6

So, solution for x^2 + 36 > 12x is x > 6 or x< 6

For this case we have the following inequality:

We subtract 12x on both sides of the inequality:

We convert to an equation:

To factor the equation, we must find two numbers that when multiplied give +36 and when added together obtain -12. These numbers are -6 and -6.

So, we have:

The solution is

We create test intervals:

We test a value in the interval, such as x = 0:

Is fulfilled!

We test a value in the interval, such as x = 10.

Is fulfilled!

Thus, the solution is given by:

or

or

the answer is d

step-by-step explanation:

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497