Answer:
PART A: Inequality (a)
Solve for y
The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.
Inequality (b)
Solve for y
The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.
PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.
For x=8, y=2. Verify inequality A is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.
PART C: I choose the point (3,1) which is included in the solution area for the system.
That means Michelle buys 3 serves of dry food and 1 serving of wet food.
Step-by-step explanation:
Plz mark Brainliest?
Answer:12/7
Step-by-step explanation:
7b-4=8
7b-4+4=8+4
7b=12
b=12/7
Answer:
C- y=2|x+2|
Step-by-step explanation:
When the number is inside the absolute value bars, the value shifts- so a positive two would move left two, and a negative two would move right two. If the number was outside of the equation, the shape would move up or down- a positive two would move the shape up two, and a negative two would move the graph down two.
Answer:
16w^2 - 24w + 9
Step-by-step explanation:
To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,
a = 4w
and
b = 3
Now we just substitute into a^2 - 2ab + b^2
(4w)^2 - 2(4w)(3) + (3)^2
16w^2 - 24w + 9