<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.
Answer:
C. The triangles are not similar.
Step-by-step explanation:
Divide the short sides and long sides to see if they are similar:
24/16 = 1.5
36/28 = 1.29
The triangles are not similar.
Answer:
3
Step-by-step explanation:
The expression is 
. To find the value, substitute the values x = 3 and y =-2 then follow order of operations.
Answer:
You would expect to get 50 heads
Step-by-step explanation:
Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads
To 3 decimal places.
128.59943
Count three places to the right after the decimal point. The third digit is 9, and the fourth is 4. Since the 4th is not up to 5, we leave the 9 that way and so we can not round up the 9 to 10.
So it becomes = 128.599
Thanks.
