Check the picture below.

notice the solid circle at -4 and 3, since it includes those points.

also notice the dashed line, though the lines keeps on going those ways, is not included in the piece-wise, since it's not part fo the domain or constraints.

5 0

4 years ago

Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $

kramer

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

$495=165+55m$

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

$495=165+55m$

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

$495-165=55m$

$330=55m$

Divide both sides by 55.

$\dfrac{330}{55}=m$

$6=m$

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

8 0

4 years ago

Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,

creativ13 [48]

The dimensions would be 29 by 29.

To maximize area and minimize perimeter, we make the dimensions as close to equilateral as possible.

Dividing the perimeter by the number of sides, we have

116/4 = 29

This means that both length and width can be 29.

5 0

4 years ago