Domain :
Range:
Explanation:
It is given that Bev earns $2 a week.
Thus, for n number of weeks, we shall multiply $2 with n.
Where is the number of weeks.
For 1 week, Bev earns ⇒ $2
For 2 weeks, Bev earns ⇒ $4
For 3 weeks, Bev earns ⇒ $6
For 4 weeks, Bev earns ⇒ $8
Thus, we can see that the domain is the number of weeks.
Hence, Domain :
Also, the money earned is the range.
Hence, Range:
The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.
Step-by-step explanation:
The given is,
A circular gift has a 4.75 inch radius
Ribbon that costs $0.50 per inch
Step:1
Formula to calculate the perimeter of circle,
......................(1)
Where, r - Radius of circle
From the given,
r = 4.75 inches
Equation (1) becomes,
(∵
= 3.14)
Perimeter, P = 29.83 inches
Step:2
Cost for wrap the ribbon to around the circular gift,
= Perimeter of circular gift × ribbon cost per inch
= (29.83 × 0.50)
= $14.915
Cost for wrap the ribbon to around the circular gift = $14.915
Result:
The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that
, given by the following formulas:
In this question:
Thus a quadratic equation with
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958