a.
To determine: The matrix to show the number of each type of flower in each arrangement if a florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
The required matrix is
Given information:
A florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
Explanation :
It is given that the first floral arrangement has three lilies, the second one has three lilies and four carnations and third one has four daisies and three carnations.
This arrangement can be represented by a
Thus, the required matrix is
b.
To determine: The matrix to show the cost of each type of flower in each arrangement if a florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
The required matrix is
Given information:
A florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
Explanation :
It is given that the lilies cost
This arrangement can be represented by a
Thus, the required matrix is
c.
To calculate: The matrix to show the cost of each floral arrangement if a florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
The required matrix is
Given information:
A florist makes three special floral arrangements. One uses three lilies, the second uses three lilies and four carnations. The third one uses four daisies and three carnations. Lilies cost
Formula Used:
Use the matrix multiplication.
Calculation :
The number of each type of flower in each arrangement can be shown as
The cost of each type of flower in each arrangement can be shown as
The cost of each floral arrangement is calculated as
Thus, the required matrix is
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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