Provide an appropriate response.Identify which of the following properties apply to the graph of   I. The y-intercept is 1.  II. The x-intercepts are of the form , where n is an integer.  III. The function obtains a relative minimum at where n is an integer.  IV. The function is decreasing on the interval .

A. I, III, and IV
B. I and III
C. II and III
D. I and IV


Answer: B

Mathematics

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Solve the problem.Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 4 times as many dimes as nickels, and the value of the dimes is $1.75 more than the value of the nickels. How many nickels and dimes does Jamil have?

A. 4 nickels and 16 dimes B. 5 nickels and 20 dimes C. 20 nickels and 5 dimes D. 6 nickels and 24 dimes

Mathematics

Determine which value(s), if any, must be excluded from the domain of the variable in the expression.

A. x = -5
B. none
C. x = 0, x = - 
D. x = -25

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Provide an appropriate response.What are the advantages and disadvantages of factoring as a method of solving quadratic equations?

What will be an ideal response?

Mathematics

Factor out the greatest common factor with a negative coefficient.-10q2 + 5q - 5

A. -5(2q2 - q + 1) B. -5q(2 + q - 1) C. -5(2q2 - q) D. -5(2q2 + q - 1)

Mathematics