Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.
f(x)=3x+2/2x-1
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]
at x₁ = a,
[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]
at x₂ = a+h,
[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]
Using the formula to determine the average rate of change
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
[tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]
as a+h-a = h, so
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
Thus, the everarge rate of chnage: [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
We can further simplify such as:
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]
Cancel the common factor h
[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]
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Answer:
Associative Property
Step-by-step explanation:
I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)8 + 7 + 9(8 + 7) + 9(8 + 9) + 7I hope this helps!
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Step-by-step explanation:
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Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
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Answers
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
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So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
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So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Given the data :
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Answers
Answer:
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Step-by-step explanation:
The given expression is :
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
23 x 2 + 23 x 2= 92
Step-by-step explanation:
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Step-by-step explanation:
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answer quick will give 20 points
Answers
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
