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Rainbow [258]
1 year ago
8

F(x) = - 3x + 4; g(x) = f(x) + 1 Graph it and then describe the graph

Mathematics
1 answer:
inna [77]1 year ago
3 0

The graph of function f(x) and g(x) is parallel lines separated by 1 unit.

In this question we have been given two functions f(x) = - 3x + 4 and         g(x) = f(x) + 1

We need to graph these functions and then describe the graph.

The graph of given functions is as shown below.

The graph of function f(x) is a straight line with slope -3 and y-intercept 4.

The function g(x) is nothing but but function f(x) translated upward by 1 unit.

The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.

Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.

Learn more about graph of function here:

brainly.com/question/9834848

#SPJ1

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Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

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Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

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So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

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