Write an algebraic equation and use it to solve the problem.In 1999, City A experienced 15 armed robberies less than twice that of City B. In the two cities combined, 243 armed robberies occurred. How many armed robberies occurred in City A and in City B?
A. City A: 71 armed robberies; City B: 172 armed robberies
B. City A: 157 armed robberies; City B: 86 armed robberies
C. City A: 114 armed robberies; City B: 129 armed robberies
D. City A: 137 armed robberies; City B: 76 armed robberies
Answer: B
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Simplify the expression. First use the distributive property to remove any parentheses.4(6x + 2y + 8)
A. 24x + 2y + 8 B. 24x + 2y + 32 C. 24x + 8y + 32 D. 24x + 8y + 8
Provide an appropriate response.Given f(x) = 9 and g(x) = 9x + 13, find (f ? g)(x).
A. (f ? g)(x) = 9 + 9
B. (f ? g)(x) = 81 + 13
C. (f ? g)(x) = 9
D. (f ? g)(x) = 9
The following graph relates the average number of words participants in a psychology experiment were able to memorize in a given amount of time.
Use the graph to answer the following:
(a) Estimate the number of words memorized after 8 min.
b) After how many minutes is the number of words memorized approximately ten?
Solve the problem.The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet.If the height is modeled by
where v0 and h0 are the velocity and height at
respectively, find v0.
A. 1500 ft/sec B. 1600 ft/sec C. 800 ft/sec D. 750 ft/sec