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Ghella [55]
3 years ago
13

A system of equations is graphed on the coordinate plane.

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0
Y = -2x - 4
y = 2x + 4

-2x - 4 = 2x + 4
-2x - 2x = 4 + 4
-4x = 8
x = -8/4
x = -2

y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0

solution (-2,0)
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Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

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Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

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