Triangle abc is transformed with the center of dilation at the origin. pre-image: △abc with vertices a(−5, −4), b(−7, 3), c(3, −2) image: △a′b′c′ with vertices a′(−3.75, −3), b′(−5.25, 2.25), c′(2.25, −1.5) what is the scale factor of the dilation that maps the pre-image to the image?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number?