Which of the following represents this function written in standard form? y=3(x-1)(x+6)

y = 3x^2 + 15x - 18

Step-by-step explanation:

To represent the function y = 3 (x - 1) (x + 6), start by by expanding the equation by multiplying the common factor with each term inside the brackets to get:

y = 3 (x - 1) (x + 6)

y = (3x - 3) (x + 6)

Now multiply both the terms with each other to get:

y = 3x^2 + 18x - 3x - 18

Arrange the like terms together and add them:

y = 3x^2 + 15x  - 18

Hence, y = 3x^2 + 15x - 18 is the standard form of the given function.

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.

b

step-by-step explanation: