Answer: t = 7.85seconds
Step-by-step explanation:
Given that :
Height of tower = 986 Feets
Function s(t) = 16t^2
To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the building
16t^2 = 986
t^2 = 986/16
t ^2 = 61.625
Take the square root of both sides
t = sqrt(61.625)
t = 7.85seconds
The composite function (boa)(x) is equivalent to √3x-3
<h3>Composite function</h3>
Given the following functions
a(x) = 3x +1
b(x) = √x - 4
To determine the composite function (boa)(x)
b(a(x) = b(3x +1)
Substitute 3x + 1 into b(x) to have:
(boa)(x)= √(3x + 1) - 4
(boa)(x) = √3x-3
Hence the composite function (boa)(x) is equivalent to √3x-3
Learn more on composite function here: brainly.com/question/17256873
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<u><em>Graph in Option D is the correct choice.</em></u>
- From the given table, we can deduce that;
When x = -2, y = 5
When x = 0, y = 1
When x = 1, y = -1
When x = 2, y = -3
- From these values gotten as coordinates from the table given in the question, we can be able to compare it with the graphs in the options.
- Now, looking at the graphs attached, the only one that has these exact same coordinates as listed earlier is the last graph.
- The reason the last graph is the correct one is because in tracing the points on the graph, we see that;
- at x = -2, we trace that y = 5
- at x = 0, we trace that y = 1
- at x = 1, we trace that y = -1
- at x = 2, we trace that y = -3
All these coordinates from the graph correspond with the ones on the given table. Thus;
Graph in Option D is the correct choice.
Read more at; brainly.com/question/17110183
