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)
Answer:
Jaylen's conclusion is a valid conclusion because it is logical
Step-by-step explanation:
Jaylen's conclusion is a valid conclusion because it is logical. Regardless of not having all the necessary information needed to prove that the number of dogs is the sole main cause for an increase in cleaner usage she can still conclude this. Since dogs naturally bring in dirt from outside and make messes, and since Jaylene notices that families that are known to have more dogs are buying more floor cleaner then she can logically come to this conclusion.
I think the answer is the second one. A reflection over the x-axis and the a 90° counterclockwise rotation about the origin.
Answer:
A
Step-by-step explanation:
it's A because if you're adding x from each number in the equation you would shift to the left causing the graph to become more positive but if you subtract x you would shift to the right causing the graph to become more negative.