Answer:
x=-1 is a maximum vaue.
Step-by-step explanation:
To find the minimum and maximum values of the function f(x), we're going to derivate it:
f(x) = –5x^2 – 10x + 6 ⇒ f'(x) = -10x - 10
The points where f'(x) is zero, could be a maximum or a minimum. Then:
f'(x) = -10x - 10 = 0 ⇒ x=-1
Now, to know if x=-1 is a maximum or a minimum, we need to evaluate the original function for x when it tends to -1 from the right and from the left.
Therefore:
For x=-2:
f(x) = 6 (Positive)
For x=0:
f(x) = 6 (Positive)
For x=-1
f(x) = 11 (Positive)
Given that at x=-1, f(x) = 11, and then it goes down to 6 when x=0, we can say that it's a maximum.
A company makes baseball cards in packs of 10, boxes of 100, and cases of 1,000. A store orders a total of 15,470 cards. How can the company fill the order in the exact amount?
Answer: The company can fill the order in exact numbers as:
15 cases, 4 boxes, 7 packs
15 cases contain 
cards
4 boxes contain 
cards
7 packs contain 
cards
Therefore, the total cards are:
Answer:
5 1/10 c or 3 1/10 +2
When you simplify the expression, you combine like terms. 5 7/10 c and -2 3/5 c are like terms. You multiply two on the numerator and denominator to make it 6/10. You subtract 2 6/10c from 5 7/10c to make it 3 1/10. This next step is easy. 8 and -6 are like terms. So you subtract 6 from 8 to get two. The final step is optional. 3 1/10 + 2= 5 1/10
