The first graph is what i would think
Answer:
x + 5
Step-by-step explanation:
Answer:
area of sector dfe=(360-110)/360×πr²=250/360×22/7×4²=34.9=35ft²
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
the optimized solution of a linear program to an integer as it does not affect the value of the objective function.
As if we round the optimized solution to the nearest integer, it does not change the objective function .
while it is not true that it always produces the most optimal integer solution or feasible solution.
Hence, Option 'c' is correct.
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)