Solve by the substitution method. If the system is inconsistent or dependent, say so.6x + 9y = -54 -3x + 4y = -24

A. (-1, -5)
B. No solution
C. (0, -6)
D. (0, -5)


Answer: C

Mathematics

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Subtract.

A. 6541 B. 6513 C. 12,541 D. 6533

Mathematics

Write the number in scientific notation.The population of a city is 270,000.

A. 2.7 × 104 B. 2.7 × 105 C. 2.7 × 10-4 D. 2.7 × 10-5  

Mathematics

If y varies directly as x, write a general formula to describe the variation.y = 5 when x = 20

A. y = 4x
B. y = x + 15
C. y = x
D. y = x

Mathematics

Solve the problem.Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x2 + 4x + 1800. The average cost per unit at a production level of x ovens per day is (x) = C(x)/x. (i) Find the rational function . (ii) Sketch a graph of (x) for 10 ? x ? 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum

average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate (x) at appropriate integer values until a minimum value is found. 

A. (i)  (x) = 
(ii) 

(iii) 61 units; $133.29 per oven
B. (i)  (x) = 
(ii) 

(iii) 22 units; $48.93 per oven
C. (i)  (x) = 
(ii) 

(iii) 42 units; $88.86 per oven
D. (i)  (x) = 
(ii) 

(iii) 44 units; $185.61 per oven

Mathematics