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?
I get:
24 = 3x-12
add 12 to both sides
36 = 3x
divide each side by 3 and you will get 12
Answer:
We want to divide 30 by it's half.
The half of 30 is 30/2 = 15
then we have: 30/15 = 2
Now we want to add the half of 18, that has ben divided by the half of the half of 12 hafter been divided by half.
The half of 12 is 12/2 = 6
the half of the half of 12 is 6/2 = 3
now, we wanto to divide the half of 18 by that number.
The half of 18 is 18/2 = 9
then we have 9/3 = 3
and we wanted to add this to the number previous found:
2 + 3 = 5
Answer:
A.\ \ r(d)=-100(d-25)^2+122,500
Hope this helps!
Therefore the probability that the angle measure are supplementary are:120,60
