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2 years ago

Solve the following 3x + 7 = 2x + 13 over 3

Mathematics

2 answers:

Lady_Fox [76]2 years ago

6 0

Answer:

3x+7=2x+13 over 3

3 (3x )+3 (7)=2x +13 over 3×3

9x+21=2x +13

9x- 2x=13-21

7x=-8

x=8/7

Step-by-step explanation:

Step 1:Multiply both sides by the denominator

Step 3:Group like terms

Step 5: Divide both sides to find for x

yulyashka [42]2 years ago

3 0

The answer is 5x+34/3

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Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

Evaluate (mn)(x) for x = - 3.<br> (mn)(-3) =

liubo4ka [24]

Answer:

-3mn

Step-by-step explanation:

It seems you might be missing some of the question, as you haven't given what m and n are equal to.

If the question has just given you x, then you would simply just simplify it to get -3mn.

6 0

2 years ago

Read 2 more answers

L. The width, w, of the rectangle is 10 inches. What is the perimeter of the rectangle?

trasher [3.6K]

40 inches because a rectangle has 2 sets of parallel lines and if the width and length are 10 then you just have to add up all the sides.

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2 years ago

Graph the linear equations (with all steps shown); <br>4y - 3x = 11 and 2y + 3x = 31

azamat

Answer:

Step-by-step explanation:

i put this in a desmos graphing calculator

4 0

1 year ago

Please help !! what’s the answer? i don’t understand !!

dedylja [7]

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

0.992⇒1m
x(the new rate) ⇒1000m
x= 0.992*1000= 992

7 0

2 years ago