Provide an appropriate response.In solving the inequality 5x ? -45, would you have to reverse the inequality symbol? Explain why.

What will be an ideal response?


Explanations will vary. One possible answer: No, since you don't have to divide or multiply by a negative number. The fact that the number you are dividing into is negative is irrelevant.

Mathematics

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Find the derivative of the function.r = 

A. r ' = - 
B. r ' = 
C. r ' = 
D. r ' = 

Mathematics

Solve.The inequality |x - 21.6| ? 0.4 describes the range of acceptable lengths x, in centimeters, of a certain metal rod used in a manufacturing process. Solve the inequality and interpret the solution.

A. ; the length of the metal rod is acceptable between a low of 22 cm and a high of 22.4 cm.
B. ; the length of the metal rod is acceptable between a low of 21.2 cm and a high of 22 cm.
C. (-?,  ? ?); the length of the metal rod is acceptable at or below 21.2 cm and at or above 22 cm.
D. (-?,  ? ?); the length of the metal rod is acceptable at or below 22 cm and at or above 22.4 cm.

Mathematics

Solve.One number is 8 less than three times a second number. The sum of the two numbers is 16. Find each number.

A. 12 and 10 B. 6 and 10 C. 4 and 12 D. 6 and 4

Mathematics

Provide an appropriate response.A line passes through the points (1, 9) and (1, 3). The equation of this line is  . The slope of the line is  .

A. y = 1; 0 B. x = 1; 0 C. x = 1; undefined D. y = 1; undefined

Mathematics