<h3>
Answer: 17</h3>
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Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
- If t = 17, then h(t) = sqrt(17t) based on what the first row says
- If t = 19, then h(t) = -34/t which is the second row of the piecewise function.
- If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t
The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
Answer:

Step-by-step explanation:
The area of a trapezoid is given by the average of the bases multiplied by the height.
What we're given:
- Height of 3
- Bases of 1 and 4
The average of the bases 1 and 4 is equal to 
Therefore, the area of the trapezoid is 
Answer:
Step-by-step explanation:
y=mx + b is easier to solve for when you need to find slope intercept form. If you have your y and mx you can figure out what your b is.