Rewrite the expression using the indicated property of real numbers.Distributive property:
3(4 + 5)
A. (3 + 4) + (3 + 5)
B. (4 + 5)(3)
C. 3 ? 4 + 3 ? 5
D. 3 ? 4 + 5
Answer: C
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Simplify the expression.72 - 4 ? 4
A. 84 B. 36 C. 180 D. 33
Without graphing, answer the following questions for the linear system.(i) Is the system inconsistent, are the equations dependent, or neither?(ii) Is the graph a pair of intersecting lines, a pair of parallel lines, or one line?(iii) Does the system have one solution, no solution, or an infinite number of solutions?x + 2y = 0y = - x
A. (i) neither (ii) intersecting lines (iii) one solution B. (i) dependent (ii) one line (iii) infinite number of solutions C. (i) inconsistent (ii) parallel lines (iii) no solution
Provide an appropriate response.Factor, if possible, as the product of two first-degree polynomials with integer coefficients:
Fill in the blank(s) with the appropriate word(s).
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 Functionz = 7x + 2yConstraintsx ? 0 0 ? y ? 5 x - y ? 9 x + 2y ? 12
A. Maximum: 63; at (9, 0) B. Maximum: 24; at (2, 5) C. Maximum: 10; at (0, 5) D. Maximum: 72; at (10, 1)