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xz_007 [3.2K]
3 years ago
6

Grant went on a eight week diet if you lost at least 1.5 points each week which inequality gives his total weight loss

Mathematics
2 answers:
andrezito [222]3 years ago
5 0

Answer:

12 in total    8<1.5x

Step-by-step explanation:

Crazy boy [7]3 years ago
4 0
The answer is 12 I think have a good day
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Given the function f(x) = 4(x + 3) -5, solve for the inverse function when x=3
daser333 [38]

Answer: Your answer would be -120

Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.

I hope this helps you!!

6 0
3 years ago
Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^
Gemiola [76]

Answer:

\rm \displaystyle y' =   2 {e}^{2x}   +    \frac{1}{x}  {e}^{2x}  + 2 \ln(x) {e}^{2x}

Step-by-step explanation:

we would like to figure out the differential coefficient of e^{2x}(1+\ln(x))

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

\displaystyle y =  {e}^{2x}  \cdot (1 +   \ln(x) )

to do so distribute:

\displaystyle y =  {e}^{2x}  +   \ln(x)  \cdot  {e}^{2x}

take derivative in both sides which yields:

\displaystyle y' =  \frac{d}{dx} ( {e}^{2x}  +   \ln(x)  \cdot  {e}^{2x} )

by sum derivation rule we acquire:

\rm \displaystyle y' =  \frac{d}{dx}  {e}^{2x}  +  \frac{d}{dx}   \ln(x)  \cdot  {e}^{2x}

Part-A: differentiating $e^{2x}$

\displaystyle \frac{d}{dx}  {e}^{2x}

the rule of composite function derivation is given by:

\rm\displaystyle  \frac{d}{dx} f(g(x)) =  \frac{d}{dg} f(g(x)) \times  \frac{d}{dx} g(x)

so let g(x) [2x] be u and transform it:

\displaystyle \frac{d}{du}  {e}^{u}  \cdot \frac{d}{dx} 2x

differentiate:

\displaystyle   {e}^{u}  \cdot 2

substitute back:

\displaystyle    \boxed{2{e}^{2x}  }

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

\displaystyle  \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)

let

  • f(x) \implies   \ln(x)
  • g(x) \implies    {e}^{2x}

substitute

\rm\displaystyle  \frac{d}{dx}  \ln(x)  \cdot  {e}^{2x}  =  \frac{d}{dx}( \ln(x) ) {e}^{2x}  +  \ln(x) \frac{d}{dx}  {e}^{2x}

differentiate:

\rm\displaystyle  \frac{d}{dx}  \ln(x)  \cdot  {e}^{2x}  =   \boxed{\frac{1}{x} {e}^{2x}  +  2\ln(x)  {e}^{2x} }

Final part:

substitute what we got:

\rm \displaystyle y' =   \boxed{2 {e}^{2x}   +    \frac{1}{x}  {e}^{2x}  + 2 \ln(x) {e}^{2x} }

and we're done!

6 0
3 years ago
-2x+5c+6c-3x=<br> Simplify and write the answer.
Irina18 [472]
-2x+5c+6c-3x
-5x+11c=
8 0
3 years ago
Read 2 more answers
33 POINTS!!! Use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data s
uranmaximum [27]

Answer:

  The quadratic curve has the best correlation to the given data.

Step-by-step explanation:

Enter the data into a spreadsheet or graphing calculator and try the different regression options to see which gives the highest R-value. Here, the quadratic regression does that.

7 0
3 years ago
Solve the simultaneous equation :<br><br> 4x+2y=17<br> 3x+2y=14
enot [183]

Answer:

(x, y) = (3, 5/2)

Step-by-step explanation:

4x+2y=17\\3x+2y=14

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

4x+2y=17\\-(3x+2y=14)

Now just add those from top to bottom.

\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}

(x, y) = (3, 5/2)

6 0
2 years ago
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