A particle P moves on the positive x-axis. The velocity of P at time t seconds is (2t2 – 9t + 4) ms-1. When t= 0, P is 15 m from the origin O.
It can be shown that P is instantaneously at rest whent = 1 and when t = 4.
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Find the total distance travelled by P in the interval 0 (5 marks)

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)