3. consider the transformation, t: p1 p2 defined by tax +b) = ax^2 + ax +a (a) show that t is a linear transformation. (b) find the image of 2.0 +1. (c) find another element of p, that has the same image. (d) is t a one-to-one transformation? why or why not? (e) find ker(t) and determine the basis for ker(t). what is the dimension of kernel(t)? (f) find range(t) and determine a basis for range(t). what is the dimension of range(t)?

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered