I need help on all of these!

Given:

The given equation is

We need to determine the solution of the given equation.

Solution of the equation:

Step 1: To determine the value of a, first, we shall divide both sides of the equation by 3.

Thus, we get;

Simplifying, we get;

Thus, dividing both sides of the equation by 3, we get

Step 2: Finallly, subtracting both sides of the equation by 3, we have;

Simplifying, we get;

Thus, subtacting 3 from both sides of the equation, we have,

Hence, the solution of the equation is

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

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.