Using the inverse matrix method, solve the system of equations for each of the B matrices. 4x3 = b1 5x13x2 + 5x3 = b2 X1 + 5x2 2x1 + 3x2 2x3 == b3 -17 6-3 b3 (X1, X2, X3) = = 18 -11 b1 (x1, x2, x3) = (X1, X2, X3) = -19 -18 866 -3 12 -15 X
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- The relationship between temperature measured on the Celsius scale and on the Fahrenheit scale is linear. The freezing point of water is 0°C and 32°F, and the boiling point is 100°C and 212°F. (a) Find an equation giving the relationship between the temperature F measured on the Fahrenheit scale and the temperature C measured on the Celsius scale.F = (b) Find F as a function of C, and use this formula to determine the temperature in Fahrenheit corresponding to a temperature of 20°C. (Round your answer to one decimal place.)°F(c) Find C as a function of F, and use this formula to determine the temperature in Celsius corresponding to a temperature of 80°F. (Round your answer to one decimal place.)°CYearly oil production in Mexico, and yearly oil imports of the US from Mexico can be represented by the functions: P(t) = 3.0 – 0.13t million barrels I(t) 1.4 + 0.06t million barrels in year t, where t is the time in years since the start of 2000. a) What is represented by the functions P(t) – I(t) and I(t)/P(t)? What are the units for these functions? b) Let q(t) = I(t)/P(t). Compute q'(t) and q'(3). Interpret in a complete sentence. c) In marginal analysis, we would use q' (3) to estimate what quantity? Compute the actual value of that quantity and compare it with q'(3).The following data relate the sales figure of the bar in Mark Kaltenbach's small bed- and -breakfast inn in portland, to the number of guest registered that week: week guests bar sales 1 16 $320 2 12 $265 3 18 $390 4 14 $315 a) the simple linear equation that relates bar sales to the number of guests ( not totime) is (round your response to one decimal place) Bar sales=[__]+[__]X guest
- A college student works in both the school cafeteria and library. She works no more than 12 hours per week at the cafeteria, and no more than 16 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x= number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+yz x≤ ysUse the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The determinant of the matrix is: A. -288 B. 144 C. -196 D. 306Refer to the following matrices. A = −1 5 4 −5 4 0 B = 3 4 2 1 −3 3 Compute A + B.
- A careful analysis of the cost of operating an automobile was conducted by accounting manager Dia Bandaly. The following model was developed: y = 3,600+ 0.16x, where y is the annual cost and x is the miles driven. a) If the car is driven 15,000 miles this year, the forecasted cost of operating this automobile = $ b) If the car is driven 26,000 miles this year, the forecasted cost of operating this automobile = $ (enter your response as a whole number). (enter your response as a whole number).Please help solve all parts of the equationSolve the system of linear equations using the Gauss-Jordan elimination method. 2x + 4y − 6z = 26 x + 2y + 3z = 7 3x − 4y + 4z = −4 (x, y, z) =