Which statement about f(x) = 2x2 – 3x - 5 is true?​

-1, 5/2 ; f(x) = (x+1)(2x-5)

Step-by-step explanation:

2x² - 3x - 5 = 0

2x² - 5x + 2x - 5 = 0

x(2x - 5) +1(2x - 5) = 0

Factors are :

(2x - 5) = 0 ; (x + 1) = 0

2x - 5 = 0

2x = 5

x = 5/2

(x + 1) = 0

x = - 1

Zeros are ; x = 5/2 and x = - 1

{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