Ariana has a dimes and y nickels. She has at most 12 coins worth a minimum of $0.85 combined. Solve this system of inequalities graphically and determine one
possible solution.
PLEASE HELP

Solution graph is attached in the answer area.

And one possible solution is (9, 2).

9 number of dimes and 2 number of nickels.

Step-by-step explanation:

Given that:

Number of dimes =

Number of nickels =

Total number of coins are at most 12 OR total number of coins are lesser than or equal to 12.

i.e. the inequality can be written as:

...... (1)

One dime is worth 10 cents or $0.10.

number of dimes are worth $0.10.

One nickel is worth 5 cents or $0.05.

number of nickels are worth $0.05.

Second inequality can be written as:

OR

...... (2)

...... (3)

When we graphically represent the inequalities, the graph attached in the answer area represents the answer.

One solution is (9, 2).

9 number of dimes and 2 number of nickels.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

squares, rhombus, rectangles