Answer:
Either b or e
Step-by-step explanation:
Answer: A.
They did not distribute the 3 to the 4 and -5a correctly.
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.
H = Heads, T = tails
1st Coin 2nd Coin Final Outcome, ÷ 4 possible outcomes
H (H,H) 1/4, or 25%
H
T (H,T) 1/4, or 25%
H (T,H) 1/4, or 25%
T
T (T,T) 1/4, or 25%
If order does not matter:
T,T: 25%
TH or HT: 50%
HH: 25%
Answer:
The intervals on the y-axis are inconsistent.
Step-by-step explanation:
The x- and y-axes start at 0 - this is what graphs normally start with - it is out of the norm to not start at 0.
The intervals on the y-axis are inconsistent - this can cause a problem - we humans tend to judge a graph on height, so changing some of the intervals can mess up a human's actions based on the graph,for example people might think more positively or negatively of a brand or company, and even a totally different view.
The intervals on the y and x-axis are different - they can be different for particular reasons, for example a company might want to put time intervals in months on the x-axis and revenue in dollars on the y-axis - sometimes it is just necessary.
Differing heights are used on a bar graph - this allows us to compare data - without it we would not be able to do much with it.