Provide an appropriate response.At what term will the geometric sequence 1, 2, 4, 8, . . . become greater than the arithmetic sequence 

Fill in the blank(s) with the appropriate word(s).


9th term

Mathematics

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Write the vertex form of a parabola that satisfies the conditions given. Then write the equation in the formVertex (3, 4) and a = 5

A. y = 5(x - 4)2 + 3; y = 5x2 - 30x + 49 B. y = 5(x - 4)2 + 3; y = 5x2 + 49x - 30 C. y = 5(x - 3)2 + 4; y = 5x2 + 5x + 49 D. y = 5(x - 3)2 + 4; y = 5x2 - 30x + 49

Mathematics

Simplify. Assume that all variables represent positive real numbers.

A.
B.
C. 3
D. 3

Mathematics

Write the binomial expansion of the expression.(3x + 1)4

A. 81x3 + 108x2 + 54x + 12 B. 81x4 + 108x3 + 54x2 + 12x + 1 C. 81x4 + 108 x3 + 54x2 + 12x + 1 D. (9x2 + 3x + 1)4

Mathematics

Two cards are dealt without replacement from a well shuffled deck of cards. Find the probability that the first card is a two or a nine.

What will be an ideal response?

Mathematics