10. Elvira has 3 caps: one red, one green, and one blue. She also has two green 1-shirts, one blue I-shirt and 3 black T-shirts. Elvira considers it a faux pas to ever be seen wearing blue and green at the same
time. What is the probability that Elvira will commit a fashion faux pas, if she randomly reaches into
her dresser and selects a cap and a T-shirt?

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Which graph corresponds to the function f(x) = x2 + 4x – 1?