Ok so if 5x + 24 equals 9x - 17, the we can write it like this:
5x + 24 = 9x - 17 ~~~ We have to get x on one side to find out what it is. So you can either subtract 5x from both sides or 9x from both sides. Imma subtract 5x from north sides which becomes:
5x - 5x + 24 = 9x - 5x - 17 Now simplify
24 = 4x - 17 Now isolate 4x. To do that we have to add 17 to both sides
24 + 17 = 4x - 17 + 17 Now simplify
41 = 4x Now we have to get x alone on one side. So divide 4 from both sides. Becomes
41/4 = 4x/4 Now simplify.
10.25 = x
The answers to the various part as well as its reasons are given below
<h3 /><h3>Part A:</h3>
- The x-intercepts shows a zero profit.
- The maximum value of the graph tells or depict the maximum profit.
- The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.
- This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.
- The profits are negative as seen on the left of the first zero and on the right of the second zero.
<h3>Part B:</h3>
An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from 3 to 5.
<h3>Part C:</h3>
Based on the above, the domain is one that is held back or constrained by x = 0 .
We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.
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Answer:
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.
This means that 
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
There are, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So 720 different combinations are possible.
First, break up the shapes into parts. The first one you see is 7 by 4 rectangle on the top.
A=l*w
A=7*4
A=28 for the rectangle, your not done
Now the triangle to the left
A=l*w/2
A=19*10/2
A=95
Now all you got left is the trapezoid, which area's formula is:
A=(b∧1+b∧2*h)/2
A=9+19*8/2
A=112.
Now you have the area for three of the figures, add them up:
112+95+28=235
So in total, the area of this figure is 235 cm^2