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goblinko [34]
3 years ago
8

What is 2/5÷4 i need help on my khann

Mathematics
2 answers:
vekshin13 years ago
7 0

Answer:

1/10 0r 0.1

Step-by-step explanation:

vredina [299]3 years ago
5 0

Answer:

1/10 or .1

Step-by-step explanation:

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A) Use the limit definition of derivatives to find f’(x)
Ann [662]
<h3>1)</h3>

\text{Given that,}\\\\f(x) =  \dfrac{ 1}{3x-2}\\\\\text{First principle of derivatives,}\\\\f'(x) = \lim \limits_{h \to 0} \dfrac{f(x+h) - f(x) }{ h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3(x+h) - 2} - \tfrac 1{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0}  \dfrac{\tfrac{1}{3x+3h -2} - \tfrac{1}{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{3x-2-3x-3h+2}{(3x+3h-2)(3x-2)}}{h}\\\\\\

       ~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{-3h}{(3x+3h-2)(3x-2)}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{-3h}{h(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \lim \limits_{h \to 0} \dfrac{1}{(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \cdot \dfrac{1}{(3x+0-2)(3x-2)}\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)(3x-2)}\\\\\\~~~~~~~=-\dfrac{3}{(3x-2)^2}

<h3>2)</h3>

\text{Given that,}~\\\\f(x) = \dfrac{1}{3x-2}\\\\\textbf{Power rule:}\\\\\dfrac{d}{dx}(x^n) = nx^{n-1}\\\\\textbf{Chain rule:}\\\\\dfrac{dy}{dx} = \dfrac{dy}{du} \cdot \dfrac{du}{dx}\\\\\text{Now,}\\\\f'(x) = \dfrac{d}{dx} f(x)\\\\\\~~~~~~~~=\dfrac{d}{dx} \left( \dfrac 1{3x-2} \right)\\\\\\~~~~~~~~=\dfrac{d}{dx} (3x-2)^{-1}\\\\\\~~~~~~~~=-(3x-2)^{-1-1} \cdot \dfrac{d}{dx}(3x-2)\\\\\\~~~~~~~~=-(3x-2)^{-2} \cdot 3\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)^2}

8 0
2 years ago
Estimate the square root of 27 to the nearest whole number<br> show how you got the answer
Trava [24]

Answer:

5

Step-by-step explanation:

5²=25 and 6²=36

25 is way closer to 27 than 36

so

5

8 0
3 years ago
Please HELP!!! I'll mark Brainiest!!
storchak [24]
Equation of a line that passses through (x1,y1) and has a slope of m is
y-y1=m(x-x1)

perpendicular lines have slopes that mulitply to get -1
given
y-2=7/3(x+5)
slope is 7/3

perpendicular
7/3 times slope=-1
times 3/7 both sides
slope=-3/7

given point is (-5,2)

y-2=-3/7(x-(-5))
y-2=-3/7(x+5)

C is answer
3 0
3 years ago
some investments in the stock market have earned 12% annually at this rate earnings can be found using the formula a=p(1.12)^n w
schepotkina [342]
To determine the expected total value of the investment after 20 years, we simply plug in the given to the prepared equation,
                                     A = P x (1.12^n)
Substituting the known values,
                                     A = ($5000) x (1.12^20)
                                     A = $48,231.47
Thus, the expected amount of your purchase is $48,231.47. 
5 0
3 years ago
the length of a rectangle is three more than two times its width. the perimeter of the rectangle is 36 inches. what is the width
Mkey [24]

Answer:

width = 11

length = 25

Step-by-step explanation:

11 x 2 + 3 = 25

25 + 11 = 36

8 0
2 years ago
Read 2 more answers
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