The number of times a graph crosses the x axis is the same as asking how many zeroes has the function represented by that graph.
The number of zeroes is given by the power of the independent variable, in this case x.
Given that the maximum power of x is 2, then the function has 2 zeroes and the graph crosses the x axis 2 times
Problem 1
<h3>Answer: 7/10</h3>
-----------------------
Explanation:
The formula we'll use is
P(A or B) = P(A) + P(B)
which only works if A and B are mutually exclusive events.
P(A or B) = P(A) + P(B)
P(A or B) = 7/20 + 7/20
P(A or B) = (7+7)/20
P(A or B) = 14/20
P(A or B) = (7*2)/(10*2)
P(A or B) = 7/10
=========================================================
Problem 2
<h3>Answer: 3/4</h3>
-----------------------
Explanation:
We'll use the same formula as the previous problem.
P(A or B) = P(A) + P(B)
P(A or B) = 3/10 + 9/20
P(A or B) = 6/20 + 9/20
P(A or B) = (6+9)/20
P(A or B) = 15/20
P(A or B) = (3*5)/(4*5)
P(A or B) = 3/4
=========================================================
Problem 3
<h3>Answer: 3/5</h3>
-----------------------
Explanation:
We'll use the same formula as the previous problem.
P(A or B) = P(A) + P(B)
P(A or B) = 7/20 + 1/4
P(A or B) = 7/20 + 5/20
P(A or B) = (7+5)/20
P(A or B) = 12/20
P(A or B) = (4*3)/(4*5)
P(A or B) = 3/5
=========================================================
Problem 4
<h3>Answer: 0</h3>
-----------------------
Explanation:
This time we're asked to find P(A and B), but since the two events are mutually exclusive, this means the probability of both occurring is 0.
Mutually exclusive events cannot happen simultaneously.
An example would be flipping heads and tails at the same time on the same coin.
The info about P(A) and P(B) is not relevant.
Answer:
X = 9
Step-by-step explanation:
Well if you add 90 and 33 together, you get 123. 180 is what all sides of the triangle is supposed to add up to so you'd subtract 123 from 180 which would give you 57.
15 plus 57 gives you 72. What's 72 divided by 8? 9.
You just have to work backwards here.
Answer: 46.1
Step-by-step explanation:
To do this you need to use the distance formula.
