According to automobile association of a country, on March 27, 2009, the national average price per gallon of regular unleaded (85-octane) gasoline was $2.02, and the price of premium unleaded (93-octane) gasoline was $2.23. The cost of the blend of mid-grade unleaded gasoline (92-octane). Determine the constraints for the objective function.
?
A. x ? 0 y ? 0 x + y = 9285x + 93y = 92
B. x ? 0 y ? 0 x + y = 185x + 93y = 92
C. x ? 0 y ? 0 x + y = 922.02x + 2.23y = 93
D. x ? 0 y ? 0 x + y = 922.02x + 2.23y = 92
E. x ? 0 y ? 0 x + y = 922.02x + 2.23y = 85
Answer: B
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Give an appropriate answer.Suppose src="https://sciemce.com/media/4/ppg__rrr0609191216__f1q205g6.jpg" style="vertical-align: -38.0px;" /> 
f(x) = 1 and 
g(x) = -3. Write out the statement of the Main Limit Theorem that justifies the rewriting of the denominator in step (b) of the following calculation. If the step is not justified, state this.
= 
= 
A. 
[f(x)]n = 
n
B. 
= 
, provided 
g(x) ? 0
C. 
[f(x) ? g(x)] = 
f(x) ? 
g(x)
D. Step is not justified
Perform the indicated operation.The shape of a curve in a machined part results in the expression 6R - (3R - r). Simplify the expression.
A. 6R B. r - 3R C. 3R - r D. 3R + r
Find all points where the function is discontinuous.
A. x = -2, x = 0, x = 2 B. x = -2, x = 0 C. x = 2 D. x = 0, x = 2
If possible, evaluate the power function at the specified value of x by hand. Otherwise, use a calculator to approximate the result to the nearest hundredth.f(x) = x-3/2 , x = 2
A. 1.59 B. 0.35 C. -0.35 D. 2.83