Solve the quadratic equation by completing the square. 0 = x2 – 6x + 4 –4 = x2 – 6x –4 + 9 = (x2 – 6x + 9) 5 = (x – 3)2 What are the two solutions of the equation? x = StartRoot 5 EndRoot and x = negative StartRoot 5 EndRoot x = 3 + StartRoot 5 EndRoot and x = 3 – StartRoot 5 EndRoot x = 5 + StartRoot 3 EndRoot and x = 5 – StartRoot 3 EndRoot x = StartRoot five-thirds EndRoot and x = negative StartRoot five-thirds EndRoot

they will manufacture 8496 cars

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

{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

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: