Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
polynomials are written in descending order.
Answer:
Choice B is correct.
Explanation:
The given equation is -r+5(r+2)=-10
Put r=-5 into the above equation
-(-5)+5(-5+2)=-10
5+5(-3)=-10
5-15=-10
-10=-10
Right and left side of above equation is equal by putting r=-5 so it is true statement.
Answer:
20.599
Step-by-step explanation:
For this problem, we are given a quadratic equation that models the total amount spent on clothing and footwear in the years 2000-2009. We need to use the model to determine the maximum amount spent during the period.
The equation is shown below:
Since the leading term is negative, the vertex of this function will represent an absolute maximum value. Therefore we can determine the vertex to answer the problem, the vertex's coordinates are given below:
Then we have:
In the year 2008, 384 billion was spent on clothing and footwear.
