Solve the inequality, and then express in interval notation.5x - 1 ? 

A. ?  ; 
B. ?  ; 
C. ?  ; 
D. ?  ; 


Answer: B

Mathematics

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Factor the expression completely. If the polynomial is prime, state this as your answer.a2b2 - 36

A. (b + 6)(b - 6) B. (a2b + 6)(ab - 6) C. (ab + 36)(ab - 36) D. (ab + 6)(ab - 6)

Mathematics

Translate the word phrase into an algebraic expression. Explain what the variable represents.The difference of the number of calories and 54

A. 54 - C, where C represents the number of calories B. 54C, where C represents the number of calories C. C - 54, where C represents the number of calories D. 54 + C, where C represents the number of calories

Mathematics

Find a quadratic function that models the data.The table shows the population of a city in selected years. Data are in thousands rounded to the nearest hundred. YearPopulation (thousands)1970 78.21975  80.11980  85.31985  92.71990 103.81995 117.8 Let x = 0 correspond to 1970 and let f(x) be the population of the city (in thousands) in year x. Using the point  as the vertex and and the data from 1995, determine a quadratic function  that models the data.

A. f(x) = 0.06336x2 + 78.2 B. f(x) = 0.0792x2 + 78.2 C. f(x) = 0.3136x2 - 78.2 D. f(x) = 1.584x2 + 78.2

Mathematics

Use the fundamental identities and the given information to find the exact values of the remaining trigonometric functions of x.cos x =  and sin x = - 

A. tan x = - , csc x = , sec x = - , cot x = 
B. tan x = - , csc x = , sec x = - , cot x = - 
C. tan x = - , csc x = - , sec x = , cot x = - 
D. tan x = - , csc x = - , sec x = , cot x = - 

Mathematics