Find the coordinates of the vertex of the quadratic function.f(x) = (x + 2)2 - 3

A. (2, -3)
B. (-2, -3)
C. (-2, 3)
D. (2, 3)


Answer: B

Mathematics

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Solve the problem.An office desk costs $6000. After 5 years, it depreciates to a value of $3500. Assuming linear depreciation, answer the following.(i) Write a linear equation that gives the value of the desk, y, in terms of the number of years after it was purchased, x.(ii) Using the equation found in part a, find the value of the desk after 7 years.(iii) After how many years would the desk have no value?

A. (i) y = 6000 - 500x (ii) $3500 (iii) 12 years B. (i) y = 6000 - 400x (ii) $2500 (iii) 12 years C. (i)y = 6000 - 500x (ii) $2500 (iii) 12 years D. (i) y = 6000 + 500x (ii) $9500 (iii) 20 years

Mathematics

Provide an appropriate response.Explain why (-1)n = 1 for any even number n.

What will be an ideal response?

Mathematics

Solve the equation.x(x2 + 2) = 6 + x3

A. {2}
B. {6}
C.
D.

Mathematics

Simplify completely.

A. xy7 B. x5y6 C. x6y7 D. x5y7

Mathematics