Identify the like terms in the algebraic expression.7y - 3y + 3 - 1

A. 3 and 1
B. 7y, -3y and 1y
C. 7y and -3y; 3 and -1
D. 7y and 3y; 3 and 1


Answer: C

Mathematics

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Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = y(y + 3)(8 - y)

A. y = -3, y = 8; increasing for y < -3, 0 < y < 8; decreasing for -3 < y < 0, y > 8 B. y = 0, y = -3, y = 8; increasing for y < -3, 0 < y < 8; decreasing for -3 < y < 0, y > 8 C. y = -3, y = 8; increasing for -3 < y < 8; decreasing for y < -3, y > 8 D. y = 0, y = -3, y = 8; increasing for -3 < y < 0; decreasing for y < -3, y > 0

Mathematics

Simplify

Mathematics

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.9 -  +  -  + ... + (-1)n-1  + ...

A. ; 18
B. ; 6
C. ; 18
D. ; 6

Mathematics

Factor the polynomial completely using grouping.12z2 - 7z - 12

A. (3z + 4)(4z - 3) B. (12z - 4)(z + 3) C. (3z - 4)(4z + 3) D. prime

Mathematics