Gabriel drew a vertical line segment of length 4 inches and labeled the top endpoint A and the other endpoint B. Next, he drew a line segment of length 2 inches starting at A and moving to the left. Beginning at the midpoint of AB, Gabriel moved his pencil 4 units to the right and 1 unit up and marked point C. Then, he moved his pencil 2 units down and marked point D. He drew two circles of radius 1 unit centered at C and D. Finally, Gabriel erased points C and D. What number did Gabriel draw?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Alogical argument that is presented in graphical form using boxes and arrows is called?

Factor the trinomial below. 12x^2 - 32x - 12 a. 4(3x+3)(x-1) b. 4(3x+1)(x-3) c. 4(3x+6)(x-2) d. 4(3x+2)(x-6)