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Problem 75

Perform the indicated operations. $$ \left[\begin{array}{ccc}{4} & {1} & {-3}\end{array}\right]+\left[\begin{array}{ccc}{6} & {-5} & {8}\end{array}\right] $$

Problem 76

Perform the indicated operations. $$ \left[\begin{array}{ccc}{2} & {-5} & {7}\end{array}\right]-\left[\begin{array}{ccc}{-3} & {8} & {-1}\end{array}\right] $$

Problem 76

REASONING Determine if each statement is true or false. If false, find a counterexample. a. Every real number is a complex number. b. Every imaginary number is a complex number.

Problem 77

Perform the indicated operations. $$ 4\left[\begin{array}{rrr}{-7} & {5} & {-11} \\ {2} & {-4} & {9}\end{array}\right] $$

Problem 78

Evaluate \(b^{2}-4 a c\) for the given values of \(a, b,\) and \(c\). \(a=1, b=7, c=3\)

Problem 78

Perform the indicated operations. $$ -2\left[\begin{array}{ccc}{-3} & {0} & {12} \\ {-7} & {\frac{1}{3}} & {4}\end{array}\right] $$

Problem 79

CONCERTS. The price of two lawn seats and a pavilion seat at an outdoor amphitheater is \(\$ 75 .\) The price of three lawn seats and two pavilion seats is \(\$ 130 .\) How much do lawn and pavilion seats cost?

Problem 79

If \(i^{2}=-1,\) then what is the value of \(i^{71} ?\) \(\mathbf{F}-1\) \(\mathbf{G} 0\) \(\mathbf{H}-\boldsymbol{i}\) \(\mathbf{J} i\)

Problem 79

Evaluate \(b^{2}-4 a c\) for the given values of \(a, b,\) and \(c\). \(a=1, b=2, c=5\)

Problem 80

Write a quadratic equation with the given root(s). Write the equation in the form \(a x^{2}+b x+c=0,\) where \(a, b,\) and \(c\) are integers. $$ -3,9 $$

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