Answer:
p' (3, - 2 )
Step-by-step explanation:
under a clockwise rotation of 90 about the origin
a point (x, y ) → (y, - x ) , then
p (2, 3 ) → p' (3, - 2 )
(1)f(x) = x² - 4x + 2, g(x) = 3x - 7
(f o g) (x) = f(g(x)) = f (3x - 7)
= (3x - 7)² - 4(3x - 7) + 2
= (9x² - 42x + 49) + (-12x + 28) + 2
= 9x² - 57x + 79
(2)g(x) = -6x + 5, h(x) = -9x - 11
(g o h) (x) = g(h(x)) = g (-9x - 11)
= -6(-9x - 11) + 5
= 54x + 66 + 5
= 54x + 71
(3)f(x) = √(2x - 5), g(x) = 5x² - 3
(g o f) (x) = g(f(x)) = g(√(2x - 5))
= 5 (√(2x - 5))² - 3
= 5 (2x - 5) - 3
= 10x - 25 - 3
= 10x - 28
x²+3x-4 / 2x²-5x+3
(sinx−tanx)(cosx−cotx)
=(sinx−sinxcosx)(cosx−cosxsinx)
=sinx(1−1cosx)cosx(1−1sinx)
=sinx(cosxcosx−1cosx)cosx(sinxsinx−1sinx)
=sinxcosx(cosx−1)cosxsinx(sinx−1)
=(cosx−1)(sinx−1)
Answer: They collected 750 cans.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
So, calculate the total number of can that all the volunteers collected we have to simply multiply the number of cans that Cathy collected (125 ,Since each volunteer collected about the same number of cans) by the number of volunteers (6 including Cathy).
125 x 6 = 750 cans.
Feel free to ask for more if needed or if you did not understand something.
The answer is fifty-six