Answers: Part 1 (the ovals) Domain = {-6,-1,1,5,7} Range = {-4,-1,2,4} ------------------- Part 2 (the table) Domain = {1,-3,-2} Range = {-2,5,1} ------------------- Part 3 (the graph) Domain = {1, 2, 3, 4, 5, 6} Range = {-1, 0, 1, 2, 3, 6}
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Explanation:
Part 1 (the ovals) The domain is the set of input values of a function. The input oval is the one on the left. All we do is list the numbers in the input oval to get this list: {-6,-1,1,5,7} The curly braces tell the reader that we're talking about a set of values. So this is the domain.
The range is the same way but with the output oval on the right side List those values in the right oval and we have {-4,-1,2,4} Which is the range. That's all there is to it.
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Part 2 (The tables)
Like with the ovals in part 1, we simply list the input values. The x values are the input values. Notice how this list is on the left side to indicate inputs. So that's why the domain is {1, -3, -2}. Optionally you can sort from smallest to largest if you want. Doing so leads to {-3, -2, 1}
The range is {-2,5,1} for similar reasons. Simply look at the y column
Side Note: we haven't had to do it so far, but if we get duplicate values then we must toss them. ------------------------------ Part 3 (the graph)
Using a pencil, draw vertical lines that lead from each point to the x axis. You'll notice that you touch the x axis at the following numbers: 1, 2, 3, 4, 5, 6 So the domain is the list of those x values (similar to part 2) and it is {1, 2, 3, 4, 5, 6}
Erase your pencil marks from earlier. Draw horizontal lines from each point to the y axis. The horizontal lines will arrive at these y values: -1, 0, 1, 2, 3, 6 So that's why the range is {-1, 0, 1, 2, 3, 6}
Volume can be described as the total amount of space that is in a closed surface. this amount of space is usually three dimensional. Volume is usually measured in m³ or cm³ or in³
For example, the volume of a rectangular box given the following dimension : length - 3cm
breadth - 8cm
height - 10 cm
volume = length x width x height = 8 x 3 x 10 = 240 cm³
Given that 100 shares of ABC costs $425 and 100 shares of DEF costs $600 with a $375 commission.
Part A:
<span>If Tim does not buy DEF, then he has $425 + $600 + $375 = $1,400 to spend on ABC.
Therefore, Tim has $1,400 to spend on ABC if he does not buy DEF.
Part B:
</span><span>Given that 100 shares of ABC costs $425, then 1 share of ABC costs $425 / 100 = $4.25.
From part A, we have that </span>Tim has $1,400 to spend on ABC if he does not buy DEF.
Thus, I<span>f Tim does not buy DEF, he can buy $1,400 / $4.25 = 329.4 shares of ABC.
Therefore, Tim </span>can buy 329.4 <span>shares of ABC if he does not buy DEF.
Part C:
Given that Tim spent $1,400 to buy shares of ABC when he did not buy DEF. </span> <span> If the selling price is $2,100, Tim will have earned $2,100 - $1,400 = $700 by investing if he did not buy DEF
Therefore, </span><span>If the selling price is $2,100, Tim will have earned $700 by investing if he did not buy DEF.
Part D:
Given that the selling price is $2,100 and the cost price is $1,400, then the cash to Tim divided by the total cost, if he did not buy DEF is given by $2,100 / $1,400 = 1.5 = 150%
Therefore, </span><span>the cash to Tim divided by the total cost in this example to the (nearest 1%), if he did not buy DEF</span> is 150%
To find the naswer just divide the total made from the raffle tickets($430) then divide it by 3 to get the the answer/thee amount of money the winner gets, which is $143.33.
