Acarpenter is assigned a job of installing a spa into a pre-existing deck. the dimensions of the deck are (5x + 2) wide by (3x + 1) long. the dimensions of the spa are (2x + 3) wide by (x + 2) long.

write the polynomial that represents the remaining area of the deck after the carpenter cut the hole out for the spa.

(a) 17x2 + 18x + 8

(b) 13x2 + 18x + 8

(c) 13x2 + 4x - 4

(d) 17x2 + 4x - 4

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.

Kayla and alberto are selling fruit for a school fundraiser. customers can buy small boxes of grapefruit and large boxes of grapefruit. kayla sold 3 small boxes of grapefruit and 1 large box of grapefruit for a total of $65. alberto sold 1 small box of grapefruit and 1 large box of grapefruit for a total of $55. what is the cost each of one small box of grapefruit and one large box of grapefruit?

A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex