Solve the system of equations y= -2x y=x²-8

The solutions for the system of equation.

when x = 2 than y = -4

 when x = -4 than y = 8  

Step-by-step explanation:

As given the system of equation

y = -2x

y = x²-8

Put y = -2x  in the equation y = x²-8 .

-2x = x²-8

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

x (x + 4) -2 (x + 4) = 0

(x + 4)(x - 2) = 0

x = 2 , -4

Put x = 2 in the equation y = -2x

y = -2 × 2

y = -4

Put x = -4 in the equation y = -2x

y = -2 × -4

y = 8        

Therefore when x = 2 than y = -4 and  when x = -4 than y = 8 .

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

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,