Describe how to graph the solution of y ≤ −x2 + 2x.

Inequalities are used to represent unequal expressions.

The solution to the inequality is:

The inequality is given as:

The first step is to split the inequality as follows:

Next, plot the graphs of the inequalities

i.e. the graphs of and (see attachment for the graph)

Lastly, select the point or points of intersection of the graphs of and

From the attached graph, the points of intersection of and are:

Hence, the solution to the inequality is:

Read more about graphs of inequalities at:

link

We are given a inequality as:

        (    The roots are:  -x(x-2)=0

          x=0 and x=2 are the roots of the parabola)

        (This could be checked by taking different points)

if you was gonna solve for a, a is a   < -12

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