The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
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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)
Answer:
2 baseballs to each team
2 baseballs left
Step-by-step explanation:
Answer:
Step-by-step explanation:
Order is impotant since you could easily make a positve number negative and vice versa. You switch the order of 5 subtracted by y to y-5.
Answer:
m∠3 = 24°
Step-by-step explanation:
By the theorem,
"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."
In the given picture,
∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.
Therefore, m∠3 = 
m∠3 = 
= 24°
Measure of angle 3 is 24 degrees.