Sam is ordering an ice cream dessert. he must order a size, a flavor of ice cream, and a topping. there are 2 sizes, 3 flavors, and 2 toppings to choose from. how many different ice cream desserts could he order?

Sam can order 12 ice cream deserts.

Step-by-step explanation:

Sam has choices from 2 sizes, 3 flavors, and 2 toppings.

For 2 sizes come 3 flavors, this means there are 2 * 3 = 6 types of ice creams Sam can get from the combination of sizes and flavors.

Now these 6 combinations come with additional choice of 2 toppings. This means when these the toppings are added, Sam gets 6*2 =12 different types of ice creams Sam can by.

Thus, Sam can order 12 different ice-creams.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!