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2 answers:
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For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base of the prism
h: It is the height
Where:
w: is the width
l: is the length
According to the data of the statement we have:
Substituting the data we have:
We choose the positive value:
So the height is
Answer:
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.