Answer:
The solution to the inequality is:
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
Add 8 to both sides
Divide both sides by 2
Add 3 to both sides
Thus, the solution to the inequality is:
The number line solution graph is also attached below.
Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13 mean = 8.5, m
jasenka [17]
Answer:
Mean = 9.3
Median = 10
Mode = 13
Step-by-step explanation:
To get the mean, you would have to add up all of the numbers (102), then divide how many numbers you have with the numbers added up (9.3). To get the median, you would have to put all of the numbers that you have, in order, from least to greatest and cross off each number, one from each side before getting to the number in the middle (unless if you have an even number; works better with odd numbers, which is easier). To get the mode, you would need to find out which number appears the most, and, if there is more than one, you can put the numbers down. Hope this helps.
E+(e-24)=126
2e-24=126
2e=150
e=75
So (s)he recieved 75 and 75-24=51 emails on those days.
In the given situation, the ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches.Now, let's find the perimeter of the smaller.Let's solve for the answerRatio and formula:=> 4 : 7 = X = 42, where x is the unknown perimeter of the smaller rectangle=> 4 * 42 = 168 / 7 = 24Thus the answer is letter D. 24 inches is the parameter of smaller rectangle.<span>
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<h3>
Answer: -7 < x < 17</h3>
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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse 
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
