The range of a function is the set of numbers used as y-coordinates.
Let's look at the y-coordinates of the points in the graph.
There are points in the graph with all y-coordinates greater than -3.
There are points in the graph with all y-coordinates less then -3.
At exactly -3, there is no point on the graph with that y-coordinate.
We expect the graph to behave as it is shown above 7 and below -7, so the only value excluded from the y-coordinates is -3.
Answer: B. All real numbers except -3
Answer:
6,000 toothpicks
Step-by-step explanation:
In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.
What we do is this!
Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.
First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x
Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.
Now revenue from sales for x toothpicks at $0.02 each is $0.02x
Since we are looking to Breakeven, we equate the costs to the revenue.
0.01x + 60 = 0.02x
0.02x-0.01x = 60
0.01x = 60
x = 60/0.01 = 6,000 toothpicks
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
V = 267.95
Step-by-step explanation:
Volume of a Sphere:
V = 4/3πr³
r = d/2
r = 4
Work:
V = 4/3πr³
V = 4/3(3.14)(4³)
V = 4/3(3.14)(64)
V = 267.95
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