Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Answer:

Step-by-step explanation:
Given

Required
Determine g(x), if f(x) is reflected across the y axis
<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>
<em />
In other words,

Calculating f(-x)


Substitute g(x) for f(-x)

<em>Hence;</em>

We have that the total students there are 500. The 12-graders there are 200. Probability is defined as the ratio of positive outcomes of an event, over all the possible outcomes. Suppose we pick student randomly. Then, there are 200 positive outcomes (positive outcome: we pick a student in 12th grade) and there are totally 500 outcomes (we can pick 500 students in total from Riverside High School). This ratio gives:

. The requested probability is 0.40
The car went 12.05 miles per gallon of gas and went 36.15 miles per hour.
(Just divide the total amount of miles by each value to get both of these answers.)
You would have to transform the fractions to decimals by dividing. For the first one, if you divide 4 by 5 you get .8. To transform a decimal to percent you move the decimal place 2 times to the right or multiply by 100 (They both would give you the same thing)