9514 1404 393
Answer:
- relative maximum: -4
- relative (and absolute) minimum: -5
Step-by-step explanation:
The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.
The relative maximum is -4.
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A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)
The relative minima are -5.
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A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)
_____
Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.
Answer:
755 or more
Step-by-step explanation:
The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.
Let x represent the number of puppets sold. Then the costs are ...
... 76.25 + 2.25x
The revenue is 5x.
The above-described relationship can then be written as
... 5x -(76.25 +2.25x) ≥ 2000
... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms
... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x
... x ≥ 755
755 or more puppets must be sold to earn $2000 or more.
Answer:
Option (C)
Step-by-step explanation:
Two statements given in the question are,
p: Memorial Day is in July
q: Parallel lines never intersect
We have to tell the represent the symbolic notation of the compound statement,
"Memorial Day is in July or parallel lines intersect"
Here word 'Or' is combining these statements.
We know word 'Or' means Disjunction which is denoted by the symbol (∨).
So the compound statement will be denoted by p ∨ q.
Option (C) will be the answer.
