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worty [1.4K]
3 years ago
8

Determine whether the graph is the graph of a function

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

Step-by-step explanation:

The key to being able to identify correctly whether a relation is a function or not is to look at the x values.  A relation is NOT a function if any x value is used more than once.  In our graph, there are no repeats of any x value, so this relation is in fact a function.

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The formula below represents Celsius temperature C as a function of Fahrenheit temperature F.
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194°F

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Let C= y

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F= 9/5 C +32

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F= 9/5 C +32

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Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

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Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

0=30 t- 6t^{2} (2)

Rearranging the equation:

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Dividing both sides of the equation by 6:

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This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} (5)  

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a=1  

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Substituting the known values:  

t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)} (6)  

Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
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