Selct the correct first step for finding the y-coordinate of the vertex of the equation y=-2x^2+2x-3, given that the x-coordinate of the vertex is 1/2. a. -(4/4)+ (4/4)-3 b. 8/4-3 c. -1/2 d. -2(1/2)^2+ 2(1/2)-3

D

The first step is to substitute x = into the equation

The first step is therefore

y = - 2()² + 2 () - 3 → D

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

there are infinitely many solutions.