Using determinants, solve for x and y:
2x + 10y = 3; 4x - 2y = 4
a. 11 1
x = ÄÄ y = ÄÄ
22 22
b. 8 9
x = ÄÄ y = ÄÄ
22 22
c. 14 14
x = ÄÄ y = ÄÄ
22 22
d. 26 8
x = ÄÄ y = ÄÄ
22 22
e. 23 2
x = ÄÄ y = ÄÄ
22 22
e. 23 2
x = ÄÄ y = ÄÄ
22 22
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Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.log2 
A. (9 log2 x)(7 log2 y) ÷ log2 7 B. 9 log2 x + 7 log2 y - log2 7 C. 9 log2 x + 7 log2 y + log2 7 D. ( log2 x)9 + (log2 y)7 - log2 7
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = x3, g(x) = x3 + 3
A. g shifts the graph of f vertically down 3 units
B. g shifts the graph of f vertically down 3 units
C. g shifts the graph of f vertically up 3 units
D. g shifts the graph of f vertically up 3 units
Solve the problem.If f(x) = 
and g(x) = 8x - 14, find f(g(x)).
A. 2
B. 2
C. 8
- 14
D. 8