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Katena32 [7]
3 years ago
7

What is the derivative of this

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0
\bf r(x)=\cfrac{3x-2}{2x+5}\implies \cfrac{dr}{dx}=\stackrel{quotient~rule}{\cfrac{3(2x+5)~~-~~(3x-2)2}{(2x+5)^2}}
\\\\\\
\cfrac{dr}{dx}=\cfrac{\underline{6x}+15\underline{-6x}+4}{(2x+5)^2}\implies \cfrac{dr}{dx}=\cfrac{19}{(2x+5)^2}
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20 POINTS !!! <br><br> Find the distance between the points (3,-4) and (5, 4)
jeka57 [31]

Answer:

d=2\sqrt{17}\approx8.2462

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

d=\sqrt{(5-3)^2+(4--4)^2

Simplify:

d=\sqrt{(2)^2+(8)^2

Square:

d=\sqrt{4+64}

Add:

d=\sqrt{68}

Simplify:

d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}

Simplify:

d=2\sqrt{17}\approx8.2462

8 0
3 years ago
Read 2 more answers
Write the fraction in lowest terms.<br> 14/37
eimsori [14]
That’s as low as it goes So that’s ur answer
14/37
5 0
3 years ago
I had $80.45 in my bank account on Monday. I deposited $20.50 on Tuesday, Wednesday, and Thursday. I then withdrew $37.25 on Fri
brilliants [131]

Answer:

$104.70

Step-by-step explanation:

The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3)  would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.

8 0
3 years ago
Read 2 more answers
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00
tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

#SPJ1

5 0
2 years ago
1. W+ 4 = 16
ExtremeBDS [4]
1. W=16-4=12
2. X=-12-7=-19
3. W=6+15=21
5. y=-2+9=7
6. q=35/7=5

Both questions 4 and 7 aren’t written correctly!!
8 0
3 years ago
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