Answer:
C
Step-by-step explanation:
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x
The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3.
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary.
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
Answer:
The inequality sign remains same while multiply or divide both sides by positive numbers.
The inequality sign changes while multiply or divide both sides by negative numbers.
Step-by-step explanation:
The given inequality is - 8 < 2.
Now, if we multiply 2 in both sides then - 16 < 4
Again, if we divide by 2 into both sides then - 4 < 1
Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers.
Now, if we multiply -2 in both sides then 16 > -4
And, if we divide -2 into both sides then 4 > -1
Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)
Answer:
100% = 30. There are 30 students in Mr.Fulton's class
Step-by-step explanation:
If we have 12 as 40%, we divide it by 2 to get the base value which is 6=20%.
Now we multiply the base by 5 so 20% x 5= 100% and 6 x 5 equals 30. so 100% = 30
<h2>
MARK BRAINLIEST, I AM WORKING TWOARDS AN ACHIVMENT!</h2>
Answer:
The equation to this question is "
"
Step-by-step explanation:
Given value:
So, the curve 
is basically a circle, which is defined in the attachment file.
