State the phrase as a mathematical expression. Use x to represent the variable.Two divided by a number
A. 2 + x
B.
C. 2x
D. 2 - x
Answer: B
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Use the commutative property of addition to write an equivalent algebraic expression.x + 10
A. 10x B. x10 C. x + 10 D. 10 + x
Use the fundamental identities to simplify the expression. + sec ? cos ?
A. 1 B. csc2? C. tan2? D. sec2?
Solve the problem.An investor has $500,000 to invest in stocks, bonds, and commodities. If he plans to put three times as much into stocks as in bonds, how can he distribute his money among the three types of investments? (Let x denote the amount put into stocks, y the amount put into bonds, and z the amount put into commodities. Let all amounts be in dollars, and let z be the parameter.)
A. x = 375,000 - z/2, y = 125,000 - z/2, 0 ? z ? 500,000 B. x = 375,000 - 3z/4, y = 125,000 - z/4, 0 ? z ? 500,000 C. x = 125,000 - 3z/4, y = 375,000 - z/4, 0 ? z ? 500,000 D. x = 125,000 - z/2, y = 375,000 - z/2, 0 ? z ? 500,000
Solve the problem.A drug company establishes that the most effective dose of a new drug relates to body weight as shown below. Let body weight be the independent variable and drug dosage be the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of best fit. What is the most effective dosage for a person weighing 140 lbs?
A. 15.22 mg B. 14.5 mg C. 12.07 mg D. 19.48 mg