SAT Subject Test Mathematics Level 2

(Marvins-Underground-K-12) #1
Then    

You can also    use the half-angle  identity,

. Since


So  you are in  the first   quadrant;   work    with     or 

Here,

Using   the calculator,  .  Again,  .

26 . D
Always remember that percents can be expressed as fractions. The fraction of all the items
that were considered acceptable was


Therefore,  the fraction    of  the items   produced    on  the first   day that    were    acceptable  must
also have been To find the number of items that were acceptable, simply multiply the
total amount produced on the first day by the fraction: (10,830) = 7,581. Thus, 7,581 items
were produced on the first day that were considered acceptable.

27 . D
The function f maps every point (x,y) to the point (x, −8x + 3y). The goal is to find a point such
that f(x,y) = (x,y) or (x, −8x + 3y) = (x,y).


In  the Cartesian   coordinate  system, two points  are the same    if  their   x   and y   values  are the
same. Therefore, the solution of this equation can be simplified into two separate
equations: x = x and y = −8x + 3y.
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