Given f(x) = 3x + 5 and g(x) = x² - x + 7, which of the following is an expression for f(g(x))?
F.) 3x² - 3x + 26 G.) 3x² - 3x + 12 H.) x² - x + 12 J.) 9x² + 25x + 27 K.) 3x² + 21
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Let the function g be defined by g(x) = 3(x² - 2). When g(x) = 69, what is a possible value of 2x - 3?
F.) -7 G.) -5 H.) 2 J.) 5 K.) 7
What are the solutions for the equation 3x² - 5x + 2 = 0?
F.) x = -1 or -3/2 G.) x = 1 or 2/3 H.) x = -5 or 2/3 J.) x = 2/5 or 1 K.) x = -1 or 3/2
A company earned a profit of $8.0 million each year for 3 consecutive years. For each of the next 2 years the company earned a profit of $9.0 million. For this 5-year period, what was the company's average yearly profit, in millions of dollars?
A.) 8.2 B.) 8.25 C.) 8.4 D.) 8.5 E.) 8.6
The lengths of the sides of a triangle are three consecutive even integers. If the perimeter of the triangle
is 48 inches, what is the length, in inches, of the longest side? A.) 12 B.) 14 C.) 16 D.) 18 E.) 24
The graph below represents which of the following inequalities?
A.) x > 1
B.) x < -1 C.) x ≤ -1 D.) x ≥ -1 E.) -1 > x > 1
A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 7 feet from the base of the building. If the top of the ladder slips down 4 feet, then the bottom of the ladder will slide out how many feet?
A.) 4 feet B.) 5 feet C.) 6 feet D.) 7 feet E.) 8 feet
Let a function of 2 variables be defined by f(a,b) = ab - (a - b). What is the value of f(8,9)?
A.) 89 B.) 73 C.) 71 D.) 34 E.) 0
Excluding sales tax, how much will you save if you purchase a $12.00 item that is on sale for 25% off?
A.) $0.30 B.) $0.48 C.) $3.00 D.) $5.00 E.) $9.00 |
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