A mining company has two mines. One day's operation at mine #1 produces ore that contains 40 metric tons of copper and 530 kilograms of silver, while one day's operation at mine #2 produces ore that contains 40 70 metric tons of copper and 470 kilograms of silver. Let v₁ and V2 Then v₁ and V2 represent the "output per day" of mine #1 and mine #2, respectively. Complete parts (a) through (c) below. 530 70 470 a. What physical interpretation can be given to the vector 5v₁? A. It is the output at mine #2 after 5 days of operation. B. It is the output of copper at mine #1 after 5 days of operation. C. It is the output at mine #1 after 5 days of operation. D. It is the output of silver at mine #1 after 5 days of operation. b. Suppose the company operates mine #1 for x₁ days and mine #2 for x2 days. Write a vector equation in terms of v₁ and V2 whose solution gives the number of days each mine should operate in order to produce 232 tons of copper and 1976 kilograms of silver. Do not solve the equation. X1 V1 + x2 V2= 232 1976 (Type an integer or decimal for each matrix element.) c. Solve the equation in (b). The company operates mine #1 for (Round to the nearest tenth as needed.)
A mining company has two mines. One day's operation at mine #1 produces ore that contains 40 metric tons of copper and 530 kilograms of silver, while one day's operation at mine #2 produces ore that contains 40 70 metric tons of copper and 470 kilograms of silver. Let v₁ and V2 Then v₁ and V2 represent the "output per day" of mine #1 and mine #2, respectively. Complete parts (a) through (c) below. 530 70 470 a. What physical interpretation can be given to the vector 5v₁? A. It is the output at mine #2 after 5 days of operation. B. It is the output of copper at mine #1 after 5 days of operation. C. It is the output at mine #1 after 5 days of operation. D. It is the output of silver at mine #1 after 5 days of operation. b. Suppose the company operates mine #1 for x₁ days and mine #2 for x2 days. Write a vector equation in terms of v₁ and V2 whose solution gives the number of days each mine should operate in order to produce 232 tons of copper and 1976 kilograms of silver. Do not solve the equation. X1 V1 + x2 V2= 232 1976 (Type an integer or decimal for each matrix element.) c. Solve the equation in (b). The company operates mine #1 for (Round to the nearest tenth as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 58PPS
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