Match the vocabulary word to its correct definition.1. absolute value
2. continuous function
3. step function
4. piecewise-defined function

function whose graph consists of horizontal line segments

function defined on different intervals by different domain rules

function whose graph has no breaks

function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

Answer: Joe bought 27 DVDs movies last year.

Step-by-step explanation:

Since we have given that

Number of DVD movies Joe has a collection = 35

Number of DVDs as gifts out of them = 8

So, Rest of his movies over years is given by

According to question, if he bought the same number of movies each year.

Hence, Joe bought 27 DVDs movies last year.

The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).

i.e. A= l× l

Let the smaller square have a side length of s

The the larger square have a side length of s + 3

Total area of the two squares is 225

Formula

s^2 + (s + 3)^2 = 225                  

Expand

we get,

Solution

s^2 + s^2 + 6s + 9 = 225

2s^2 + 6s + 9 = 225                  

Subtract 225 from both sides

2s^2 + 6s - 216 = 0                    

This factors.

( x  -   9)(x + 12) = 0

x - 9 =0

x + 12 = 0

x = 9 is the only valid root for this question.

Hence, The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

To learn more on Area click:

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complete question:

The length of each side of a square is 3 in more than the length of each side of a smaller square. The sum of the areas

the squares is 225 in. Find the lengths of the sides of the two squares.

A side of the small square is in.; a side of the big square is in.