Answer the question.Consider the equation 5(-3 - x) + x = 14x - 5(3 - x). Now consider the following system of equations solvable by the substitution method: y = 5(-3 - x) + x y = 14x - 5(3 - x).Explain the connections that exist between the single equation and the system of two equations.
What will be an ideal response?
Answers may vary. One possibility: The left and right sides of the single equation are identical to the two right sides of the equations in the system. The single equation yields a solution of x = 0. Simply substitute this value of x in either of the equations of the system to determine that y = -15.
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Write an equivalent expression for the function that could be graphed with a graphing calculator. Then graph the function with a graphing calculator.f(x) = log3 x + x - 2
A. f(x) = 
+ x - 2
B. f(x) = 
+ x
C. f(x) = 
+ x - 2
D. f(x) = 
+ x - 2
Solve. Write a mixed numeral for the answer.A car traveled 327 miles on 15
gallons of gas. How many miles per gallon did it get?
A. 21
mpg
B. 22 mpg
C. 21
mpg
D. 21 mpg
Find the product.
? 
A. 
B. 
C. 
D. 
Solve the problem.The rate of growth of profit (in millions) from an invention is approximated by 
where x represents time in years. The total profit in year 1 that the invention is in operation is $45,000. Find the total profit function P(x).
A. P(x) = -.5e-x2+ 229,000
B. P(x) = -.5e-x2+ 0.229
C. P(x) = - 
e-x2- 229,000
D. P(x) = - 
e-x2- 0.229