There are 5 members of a Math Club. In how many ways can the positions of a secretary, a presidents and treasurer be chosen?
1 answer:
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Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
When a set of reflections that carry a shape onto itself, it means that the final position of the shape will be the same as its original location
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
First; we test the given options, until we get the true option
<u>(a) y=x, x-axis, y=x, y-axis</u>
The rule of reflection y =x is:
The rule of reflection across the x-axis is:
So, we have:
The rule of reflection y =x is:
So, we have:
Lastly, the reflection across the y-axis is:
So, we have:
So, the overall transformation is:
Notice that, the original and final coordinates are the same.
This means that:
Reflections <em>(a) y=x, x-axis, y=x, y-axis </em>would carry the hexagon onto itself
Read more about reflections at: