Simplify the given expression using the definition for negative exponents. Assume that all variables represent nonzero numbers.
A. 3x74
B. 3x3
C. 3x11
D. 6x3
Answer: B
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Use the order of operations to simplify the expression.
÷ 
- 
? 
A. 2
B. 3
C. 
D. 2
Solve the formula for the specified variable.a + b = s + r for s
A. s = a + b - r
B. s = r(a + b)
C. s = 
D. s = 
+ b
Solve the problem.At speeds greater than 38 miles per hour, the gas mileage of a certain car can be modeled by the equation
where x is the speed of the car in miles per hour and y is the gas mileage in miles per gallon. Based on this model, at what speed will the car average 15 miles per gallon? Round to the nearest whole number.
A. 98 mph B. 48 mph C. 73 mph D. 149 mph
Provide an appropriate response.When using the quadratic formula, why is it necessary only to examine the discriminant to determine if the equation has real-number solutions?
What will be an ideal response?