Well you could count by threes and Fives and see your answer, 3,6,9,12,15, and so on and fives 5,10,15 and you have one match. 18, 21, 24, 27, 30 and 20, 25, 30. Two matches. They will blink at the same time about six times.
The fixed and variable costs of the given table of production costs are respectively; $161280 and $42
<h3>How to calculate fixed and variable costs?</h3>
Variable costs are costs that vary/change depending on the company’s volume of production while fixed costs are costs that do not change in relation to volume of production.
Fixed costs = Production Cost + Selling expenses + Administrative Expenses
Fixed Cost = $103200 + $21500 + $7300 + $1600 + $1800 + $21000 + $2600 + $2280 = $161280
Variable cost = $15 + $10 + $8 + $3 + $3 + $1 + $2
Variable cost = $42
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2 + 3 is 5
4 + 1 is 5
so they are equal. what sign is that?
Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
<h3>
What can we say about the discriminant?</h3>
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
- If D = 0, there is only one real zero.
- If D > 0, there are two real zeros.
- If D < 0, there are two complex zeros.
In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
If you want to learn more about quadratic equations:
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Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
