What is the quotient of 1.892 x 10^8 and 4.3 x 10^3 expressed in scientific notation?

4.4 x 10^4

Step-by-step explanation:

(1.892 x 10^8)/(4.3 x 10^3) can be written as:

(1.892/4.3)*(10^8/10^3)

Do each calculation separately:

(1.892/4.3) = 0.44

(10^8/10^3) = 10^5  [The coefficient 3 in the denominator is subtracted from the coefficient in the numerator]

Now put the two together: 0.44 x 10^5

Move the decimal point so that it is to the right of the first digit:  4.4 and then decrease the 10^5 to 10^4.

 4.4 x 10^4

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1