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Mrrafil [7]
3 years ago
9

1. Consider f(x) = 3x - 5

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

3

Step-by-step explanation:

Here we have the function

f(x)=3x-5

We want to find the following ratio:

\frac{f(x+h)-f(x)}{h}

Note that the limit of this for h\rightarrow 0 is equivalent to the derivative of the function.

Here we have:

f(x+h)=3(x+h)-5=3x+3h-5

And

f(x)=3x-5

Therefore we have

f(x+h)-f(x)=3x+3h-5-(3x-5)=3h

And therefore,

\frac{f(x+h)-f(x)}{h}=\frac{3h}{h}=3

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8090 [49]

Answer:We're looking for a,b such that

\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}

Step-by-step explanation:

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3 years ago
A car was valued at $44,000 in the year 1993. The value depreciates to $15,000 by year 2002.
almond37 [142]

Answer:

The car will have lost it's total value by 2007.

Step-by-step explanation:

If initially the car was valued at 44,000$, and after 9 years it's value dropped to 15,000$, we can say that the car's value dropped in 29,000$. If we suppose that the drop is the same every year, we can say that it was of 3,222,2$ by each year.

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b) There are 14 years between 1993 and 2007. If we multiply 7,3% by 14, we get that the car lost 102,2% of it's initial value.

8 0
3 years ago
Read 2 more answers
Find the volume and total surface area of a cone with a radius of 3 and a height of 5.
azamat

Answer:

<h2>hope it helps you see the attachment for further information ✌✌✌✌✌✌✌</h2>

5 0
3 years ago
A sidewalk has an area that can be represented by the expression (8x+24) feet. Factor the expression 8x+24.
Mkey [24]

Answer:

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Step-by-step explanation:

When you distribute the 8 to the x, it will become 8x.

when you distribute the 3 to the 8 (multiplying them) you will get 24.

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Consider the equation 4•e^2.7x = 33
Yanka [14]

Answer:

\huge x =  ln( \frac{33}{4} )  \times  \frac{ 10}{27} \\  \huge \: x  \approx 0.782

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • logarithm
  • PEMDAS
<h3>let's solve:</h3>

4 {e}^{2.7x}  = 33 \\ {e}^{2.7x} =  \frac{33}{4}  \\ 2.7x =  ln( \frac{33}{4} )  \\ x =  ln( \frac{33}{4} )  \times  \frac{ 10}{27} \\ x  \approx 0.782

7 0
3 years ago
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