Factor by grouping.m3 + 3m2p2 - 6mp - 18p3

A. (m + 3p2)(m3 - 6p)
B. (m + 3p2)(m2 - 6p)
C. (m2 + 3p2)(m - 6p)
D. (m - 3p2)(m2 - 6p)


Answer: B

Mathematics

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Multiply.-11x4(9x3 + 1)

A. -99x7 + 1 B. -99x7 - 11x4 C. -99x3 - 11 D. -110x4

Mathematics

Complete the following:  (i) Find the x- and y-intercepts.  (ii) Determine the multiplicity of each zero of f.  (iii) Graph y = f(x).f(x) = x2(x + 5)(x - 5)

A. (i) x-ints are -5 and 5; the y-int is -25
(ii) -5 and 5 each have multiplicity 1
(iii)  
 
B. (i) x-ints are 0, and 5; the y-int is 0
(ii) 0 and 5 each have multiplicity 2; 
(iii) 
 
C. (i) x-ints are 0, and -5; the y-int is 0
(ii) 0 and -5 each have multiplicity 2; 
(iii)  
 
D. (i) x-ints are -5, 0, and 5; the y-int is 0
(ii) 0 has multiplicity 2;
 -5 and 5 each have multiplicity 1
(iii) 
 

Mathematics

Write the number in trigonometric form. Let 0° ? ? < 360°.4

A. 4(cos 90° + i sin 90°) B. 4(cos 0° + i sin 0°) C. 4(cos 270° + i sin 270°) D. 4(cos 180° + i sin 180°)

Mathematics

Construct the transition matrix that represents the data.A new anti-gravity commuter train has been installed. It is expected that each week 90% of the riders who used the existing system will continue to do so. Of those who traveled by car, 5% will begin to use the new anti-gravity train. Use this information to write the transition matrix that describes this process.  T C 

A. T C
  
B. T C
  
C. T C
  
D. T C
  

Mathematics