Solve the inequality. Graph the solution set and write it in interval notation.-4x > -12 and x + 4 > 6
A. (-?, 2) ? (3, ?)
B. ?
C. (3, ?)
D. (2, 3)
Answer: D
Mathematics
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Perform the indicated operation. Simplify, if possible.
+ 
A. 
B. 
C. 
D. 
Mathematics
Solve the given differential equation. (The form of yp is given.)D2y + 7Dy + 12y = 2x (Let yp = A + Bx.)
A. y = c1e-3x + c2e-4x + 
- 
x
B. y = c1e-3x + c2e-4x - 
+ 
x
C. y = c1e3x + c2e4x - 
+ 
x
D. y = c1e-3x + c2e-4x + 
x
Mathematics
Find the center of mass of a thin plate of constant density covering the given region.The region bounded by the parabola x = y2 and the line x = 1
A. 
= 
, 
= 0
B. 
= 0, 
= 
C. 
= 
, 
= 0
D. 
= 1, 
= 0
Mathematics
Find the annual amount of depreciation using the units-of-production method. Round to the nearest dollar.Depreciation per unit: $0.58Units of production: 65,000
A. $37,700 B. $11,207 C. $1121 D. $3770
Mathematics