In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
When x is less than -2, the definition is:
When x is between -2 and 3, inclusive, the function is:
When x is greater than 3, the definition is:
The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.
For another example of a piece-wise graphic, you can check brainly.com/question/24324639.
Part 1:
Given that x represents the <span>number of apple pies that can be made and y represents the number of apple cobblers that can be made.
Given that a</span><span>n
apple pie uses 4 cups of apples and an apple cobbler
uses 2 cups of apples and there are 16 cups of apples available.
</span>A<span>n inequality to show the constraint on the amount of apples available is given by:
4x + 2y ≤ 16
</span>
Part 2:
<span>Given that an
apple pie uses 3 cups of flour and an apple cobbler
uses 3 cups of flour and there are 15 cups of flour available.
</span>A<span>n inequality to show the constraint on the amount of flour available is given by:
3x + 3y ≤ 15
Part C:
The </span><span>non negativity contraints on x and y are:
x ≥ 0 and y ≥ 0
</span>
The answer to you question is 4
Given
perimeter is 62
Side 1 - 3x+5
Side 2 - x+2
Solution,
2(3x+5+x+2) = 62
4x+7 = 31
4X = 24
x = 6
Now substitute the value of x to get the sides
Side one - 3x+5 = 23cm
Side two - x+2 = 8cm
Answer- the length of the longest side is 23 cm
