Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.A number decreased by 232 is equal to 557. Find the number.
A. -789
B. -325
C. 789
D. 325
Answer: C
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Integrate the function f over the given region.f(x, y) = 
over the region bounded by the x-axis, line 
and curve 
A. 9 B. 10 C. 8 D. 1
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula 
Solve the problem using this formula.Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (2 + 3i) ohms.
A. (-18 + 56i) volts B. (-18 - 56i) volts C. (33 + 56i) volts D. (33 - 56i) volts
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15 x - 3y ? -3
A. Maximum 75; at (0, 15) B. Maximum 38; at (6, 4) C. Maximum 33; at (6, 3) D. Maximum 22.5; at (7.5, 0)
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Select correct answer for the line.
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