hmm, seems that we can say that the square root thing is the g(x)
I would say
we could also have
or
there are many posibilities
Mighty Casey hits two baseballs out of the park. The path of the first baseball can be described by the displacement (distance a
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hmm, seems that we can say that the square root thing is the g(x)
I would say
we could also have
or
there are many posibilities
Let
t--------> the time in hours
d-------> the distance in miles
we know that
this is a linear equation that represent the scenario
in this equation the independent variable is the time t and the dependent variable is the distance d
The distance's equation in function notation is equal to
Using a graph tool
see the attached figure
The domain of the function is the interval----------> [0,∞)
The range of the function is the interval-------> [0,∞)
<u>Statements</u>
<u>a) The independent variable, the input, is the variable d, representing distance</u>
The statement is false
Because the independent variable is the variable t
<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>
The statement is true
Because the distance's equation in function notation is equal to
<u>c) The initial value of the scenario is 16 miles per hour</u>
The statement is false
Because represent the rate or the slope of the linear equation
<u>d) The equation t = d + 16 represents the scenario</u>
The statement is false
Because, the scenario is represented by the function
<u>e) The function f(t) = 16t represents the scenario</u>
The statement is true
Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.