# Determine whether the equation is an identity, conditional equation, or an inconsistent equation

Question 1Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7(x – 4) = x + 2{-7 ,conditional}{7, Identity}{5, conditional}{2, inconsistent equation}Question 2Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7x + 13 = 2(2x – 5) + 3x + 23Ø; conditional equationØ; Inconsistent equationØ; identity equation{-1}; Inconsistent equationQuestion 3Determine the value of A so that the line whose equation is Ax + y – 2 = 0 is perpendicular to the line containing the points (1, -3) and (-2, 4).– 3/75/9–2/53/8Question 4Find the horizontal asymptote as x –> 8 and then describe what this means in practical terms. F(x) = 150x + 120/0.05x + 1; the number of bass, f(x), after x months in a lake that was stocked with 120 bass.the number of bass, f(x), after y months in a lake that was stocked with 130 bassthe number of bass, f(x), after x months in a lake that was stocked with 120 bassthe number of bass, f(x), after x months in a lake that was stocked with 140 bassthe number of bass, f(x), after x months in a lake that was stocked with 150 bassQuestion 5Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, to two decimal places, for the solution:{16/2}{62/3}{9/3}{11/5}Question 6Solve the following system:{(4, -1)}{(1, -3)}{(4, -2)}{(1, -5)}Question 7Solve the following system of equations using matrices:{(t, t 1, t)}{(t, t 0, t)}{(t, t – 2, t)}{(t, t – 1, t)}Question 8Solve for x only using Cramer’s Rule.x = 7x = 9x = 2x = -3Question 9For the following ellipses determine location of its foci.foci at (0, 2 + v11), (0, 2 – v11)foci at (0, 5 + v21), (0, 5 – v21)foci at (0, 3 + v25), (0, 3 – v25)foci at (0, 1 + v36), (0, 1 – v36)Question 10You are taking a multiple-choice test that has five questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?198 ways290 ways243 ways364 ways

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