20 points
1 answer:
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We have that
<span>f(x)=2x−3
g(x)=3x−7
2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)
using a graph tool
see the attached figure
</span><span>statement
case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct
case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct
case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct
case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct
the answer is
</span>case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
<span>f(x)=2x−3
g(x)=3x−7
2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)
using a graph tool
see the attached figure
</span><span>statement
case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct
case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct
case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct
case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct
the answer is
</span>case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
Answer:
The y-intercept is (0, 34).
I used Demos graphing calculator and included an image of what values I put in.
Answer:
26.95% probability that at least one of them is cleared with an arrest
Step-by-step explanation:
For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5.1% of burglaries are cleared with arrests.
This means that
A new detective is assigned to six different burglaries.
This means that
What is the probability that at least one of them is cleared with an arrest?
Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So
We want
Then
In which
26.95% probability that at least one of them is cleared with an arrest