Answer:
2z(4z^2+1)(2z+1)(2z-1)
Step-by-step explanation:
here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.
hope this helps!
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
Answer:
First option: 
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be 
or 
.
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
Answer:
y=1/2x
Step-by-step explanation:
Equations of lines are written in slope-intercept form:
y=mx+b
where m is the slope and b is the y intercept.
The slope is 1/2 and the y-intercept is 0. Therefore, we can substitute 1/2 for m and 0 for b.
y=1/2x+0
Adding 0 onto the end doesn't change the equation and doesn't serve a purpose, so it can be removed from the end of the equation.
y=1/2x
The equation is: y=1/2x
Answer:
<1 and <2
<3 and <2
<1 and <4
Step-by-step explanation:
Adjacent angles are angles that are next to each other. In essence, they would share one aside in common. In this problem, the answers are the following,
<1 and <2
<3 and <2
<1 and <4
