Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using function notation?
FV = -
f(x) = - 3x + 4
f(x) = -
Of = - 3y+4

Second choice; f(x) = -3x + 4

Step-by-step explanation:

You pretty much want to isolate y, f(x) is also acceptable as y. The term f(x) means the value of the function when you input the x value.

Subtract 9x from both sides to get 3y = 12 - 9x, then divide everything by 3 in order to get y completely alone. You get y = 4 - 3x or f(x) = 4 - 3x

Different way you could potentially write this

y = 4 - 3x

y = -3x + 4

f(x) = 4 - 3x

f(x) = -3x + 4

Each one equals each other and are all perfectly acceptable

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!