WORTH 20 POINTS!!!!!!
2 answers:
Answer:
Given vertices of the triangle ABC,
A(-4,-2), B(-1,3), and C(5,0),
A) By graphing,
The vertices of preimage of the vertices of A, B and C are shown as below.
B) Since, the rule of 180°counterclockwise about the origin,
If the triangle ABC is rotated 180°counterclockwise about the origin to form triangle A′B′C′.
The vertices of A'B'C' are,
A'(4,2), B'(1, -3), C'(-5,0)
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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)