How many ways can patricia choose 3 pizza toppings from a menu of 6 toppings if each topping can only be chosen once?

answer:

8 ⋅ 7 ⋅ 6 ⋅ 5 = 1680

step-by-step explanation:

since there are four toppings on the pizza and eight possible toppings to choose from we can determine the varieties available by multiplying the available options.

there are 8 possible toppings for the 1st choice.

since we have chosen one topping already

there are 7 possible toppings for the 2nd choice

there are 6 possible toppings for the 3rd choice

and

there are 5 possible toppings for the 4th choice

the answer is a

step-by-step explanation:

39.00 x 24 = total installment price

carrying installment price - cash price

needed to save the .00/

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1