<span>The mathematical formula f(x + 1) = (f(x)) is like an arithmetic progression where the original value is f(x), an = f(x+1) , and d is equal to 1. In thsi case, if a0 is equal to x, then the progression should become x+1, x+2, x+3 and so on until x+n. There is no multiplication involved only addition process/</span>
Answer:
C is the right answer
Step-by-step explanation:
In this case we have the events
<em>A: The subject is telling the truth.
</em>
<em>B: The the polygraph indicates that the subject is lying
</em>
Recall that P(B|A) is defined as the probability that the event B occurs given that the event has already occurred, and is equals to P(B∩A)/P(A).
So, with the events we have defined, <em>P(B|A) indicates the probability that the polygraph indicates lying given that the subject is actually telling the truth.
</em>
The most suitable answer is thus, C
Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
<h3>How to Identify the Graph of the Equation of a Line?</h3>
The equation of a line can be rewritten in slope-intercept form as, y = mx + b.
The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.
Given the equation:
3x + y = -5
Rewrite in slope-intercept form:
y = -3x - 5
The slope of the graph, would be m = -3, and the y-intercept would b b = -5.
Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
Learn more about graph of a line on:
brainly.com/question/10790818
<span>X + 1.5 ≤ 5
X ≤ 3.5
"Julia is allows to watch no more than 5 hours of television"
X ≤ 5
"She has watched 1.5 hours"
X + 1.5 ≤ 5
So the inequality to solve is:
X + 1.5 ≤ 5
Now to solve it, just subtract 1.5 from both sides:
X + 1.5 ≤ 5
X + 1.5 - 1.5 ≤ 5 - 1.5
X ≤ 3.5
So Julia can watch up to 3.5 more hours of TV this week.</span>