Translate the English sentence into a mathematical sentence and solve.Twenty-four increased by some number is twenty-two.
A. 24 = 22 + x; 2
B. 24 + x = 22; -2
C. 22 + z = 24; 2
D. x - 24 = 22; 46
Answer: B
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Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.u'(x) = e7x-3u
A. u = 
ln
B. u = 
ln
+ C
C. u = 3 ln
+ C
D. u = 3 ln
Find the centroid of the thin plate bounded by the graphs of the given functions. Use ? = 1 and M = area of the region covered by the plate.g(x) = x2 and f(x) = x + 2
A. 
= 
, 
= 2
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 2, 
= 
Solve the problem using the elimination method.There were 560 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $780. How many adults and how many children attended?
A. 195 adults and 365 children B. 340 adults and 220 children C. 220 adults and 340 children D. 170 adults and 390 children
Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = x2 + 6
A. (-6, 0) B. (0, 6) C. (0, -6) D. (6, 0)