Answer:
Step-by-step explanation:
Insert the given x values for the given equation to find the corresponding y coordinate:
Insert -6:
Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):
Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):
Insert -1:
Insert 1:
:Done
(-2,8),(-1,5),(0,2),(1,-1),(2,-4) are points of the line.
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and , which restricts the solution to be in the positive quadrant. Then we plot the first restriction shown in purple, then we can plot the second one shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
Answer:
x > 10
Step-by-step explanation:
4(2x + 2) + 12 > 100
4(2x + 2) > 100 -12
4(2x + 2) > 88
2x + 2 > 22
2x> 22-2
2x > 20
x > 10
Answer:
5 is the greatest number of cups we can make.
Step-by-step explanation:
Given: 50 red bears, 25 blue bears and 35 green bears.
Now, finding the greatest number of cups we can make with same number of each colour in cups.
∴ we will be using greatest common factor (GCF) to know the number of cups.
∴
5 is the greatest number of cups we can make with same number of each colour.