because neither of these answers is a possible solution for q. Plug 6 in for q in the equationto see if this value of q works. The equation becomes . Solve bothsides of the equation to get = 1. Since this statement is not true, 6 is the extraneoussolution. The correct answer is (B).
D First, determine the total number of gamers in each game type by adding up the columns.
There are 110,000,000 gamers preferring first person shooters, 52,000,000 preferring
sports games, and 85,000,000 preferring adventure games. You don’t know by how much
the 9- to 13-year old group will increase in sport game preference, but presumably the
increase will be made to match the currently largest group, first person shooters. Therefore,
in order to raise adventure games to the level of first person shooters, you need to add
110,000,000 – 85,000,000 = 25,000,000 gamers to the adventure games group. If you are
going to do so by doubling one of the age groups, then 25,000,000 is equal to the size of the
current group. 9- to 13-year olds currently have 25,000,000 preferring adventure games, so
(D) is the answer.
A Whenever there are variables in the question and in the answers, think Plugging In. Let’s say
that for Emilio a = 2, t = 4, and k = 10. Then Emilio’s accrued vacation days can be
calculated as V(t) = 2(4) + 10 = 18. This means that Martin has accrued 18 + 9 = 27
vacation days. Because a and k are constants, their values do not change. The number of
years that Martin has worked at the manufacturing plant can therefore be calculated as 27 =
2 t + 10. Solve for t to get 17 = 2t or t = = 8.5. Therefore, Martin has worked 8.5 – 4 =
4.5 more years than Emilio. Plug 2 in for a in the answers to see which answer equals 4.5.
Choice (A) becomes = 4.5. Keep (A) but check the remaining answers just in case.Choice (B) becomes 9 – 2 = 7, (C) becomes 9 + 2 = 11, and (D) becomes 9(2) = 19.
Eliminate (B), (C), and (D). The correct answer is (A).- C SOHCAHTOA tells you that sine is , so if the side opposite the angle with
measure x° is O and the hypotenuse is H, then . Solve for O, and you get O = . Now, you can use the Pythagorean Theorem with the given side and substituting
for O in order to solve for H: 10^2 + = H^2 . Solve the exponents, andthen reduce the fraction: 100 + = H^2 ; 100 + = H^2 . Subtract from bothsides: 100 = . Divide both sides by , so 116 = H 2 . Square root both sides, and