What is the area of this triangle?
2 answers:
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Answer: 
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write
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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got (x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing is the set-builder notation way of expressing the domain. The 
portion means "x is a real number"
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write
------------------------------------------------------------------------------
Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing
The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds
<h3>How to determine the time the balloon is at the height?</h3>The equation of the function is given as
h(t)= -16t^2 + 35t + 5
The above equation is a quadratic equation
When the balloon is at a height of 7 feet, we have
h(t) = 7
So, we have the following equations
h(t)= -16t^2 + 35t + 5
h(t) = 7
Next, we plot the equations on a graph (see attachment)
The equations intersect at
t = 0.059 and t = 2.129
Approximate
t = 0.1 and 2.13
Hence, the times are 0.1 seconds and 2.13 seconds
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