Find the area between the curves.x = 0, x = 1, y = x2 + 6, y = x2 + 2

A. 12
B. 8
C. 4
D. 16


Answer: C

Mathematics

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Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.3, 5, 7, 11, 13, ...

A. Geometric; r = 2 B. Arithmetic; d = 4 C. Arithmetic; d = 2 D. Neither

Mathematics

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = x(x2 - 3)

A. , multiplicity 1, touches x-axis;
-, multiplicity 1, touches x-axis
B. 0, multiplicity 1, crosses x-axis;
, multiplicity 1, crosses x-axis;
-, multiplicity 1, crosses x-axis
C. 0, multiplicity 1
D. 0, multiplicity 1, touches x-axis;
, multiplicity 1, touches x-axis;
-, multiplicity 1, touches x-axis

Mathematics

Factor completely.8a3 - 125b3

A. (8a - 5b)(a2 + 10ab + 25b2) B. (2a - 5b)(4a2 + 10ab + 25b2) C. (2a - 5b)(4a2 + 25b2) D. (2a + 5b2)(4a2 - 10ab + 25b2)

Mathematics

Use the quadratic formula to solve the quadratic equation.3 - x2 = 8x

A. x = -4 ± 2
B. x = -1 ± 
C. x = 4 + 
D. x = -4 ± 

Mathematics