Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are
2
22 sizes,
4
44 colors,
7
77 phrases, and
4
44 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
How many different card designs are possible?

224 card combinations

Step-by-step explanation:

The total number of card designs can be found by multiplying the number of options available for each design element.

Total number of cards= 2x4x7x4=?

224 cards altogether

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: