Write the expression. Then, check all that apply. a number cubed increased by four

A 2-column table with 4 rows. Column 1 is labeled Key Words with entries a number, cubed, increased by, four. Column 2 is labeled replace with entries n, exponent of 3, +, 4.

“A number cubed” is a power, where the base is the variable, n, and the exponent is 3.
“A number cubed” is a power where the base is 3 and the exponent is n.
“Increased by 4” means add 4.
“Increased by 4” means multiply by 4.
The expression is written as n3 + 4.
The expression is wriitten as 4n3

The focus of parabola is (-4, -5), and its directrix is y= -1. fill in the missing terms and signs in parabolas equation in standard form

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =