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antoniya [11.8K]
3 years ago
11

What is the difference? X-8/3x - 3x/x^2

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

\frac{x - 8}{3x}  -  \frac{3x}{ {x}^{2} }  \\  \\  \frac{x - 8}{3x}  -  \frac{3}{x}  \\  \\  \frac{x - 8 - 9}{3}  \\  \\  \frac{ x - 17}{3x}

Ronch [10]3 years ago
6 0

Answer:

\\  \frac{x - 8}{3x}  -  \frac{3x}{ {x}^{2} }

\\ =   \frac{x - 8}{3x}  -  \frac{3 {\cancel{x}}}{{ \cancel {x^2} }}

\\  =  \frac{x - 8}{3x}  -  \frac{3}{x}

\\   = \frac{x - 8 - 9}{3}

\\  =  \frac{x - 17}{3x}

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Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.
coldgirl [10]
\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------

\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}
8 0
4 years ago
What is the reciprocal of 5/8
V125BC [204]
The reciprocal of 5/8 is 8/5 all you have to do is flip it. 
so if you are looking for the reciprocal to 2, then it is 1/2 because of the fraction properties
7 0
3 years ago
14 divied by 3/8 equals
astraxan [27]

Answer:

37 1/3

Step-by-step explanation:

14 divided by 3/8=

14*8/3=

37 1/3

5 0
3 years ago
Beatriz has a big hot chocolate. She drank 7 ounces so far, how large is her entire hot chocolate
Ksivusya [100]

Answer:

larger than 7 ounces

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Assume that x equals x (t )and y equals y (t ). Let y equals x cubed plus 4 and StartFraction dx Over dt EndFraction ​=2 when xe
nika2105 [10]

Answer:dy/dt(x=3)=54

Step-by-step explanation:

We know that we can write:

\frac{dy}{dt}=\frac{dy}{dx} *\frac{dx}{dt}

and so evaluate it as a product of functions, that is for a given value of x or t, we get that  

\frac{dy}{dt}(s)=\frac{dy}{dx} (s) * \frac{dx}{dt}(s).

Now we are told that:

1. x=x(t),\ 2.y=x^3+4,\ \frac{dx}{dt} =2,\ for \ x=3,

whenever it happens, this means the influence of t is hidden, and we only consider the result, that is, how much is x when the derivative has the value of 2, we are not concerned for what value of t it happens, since we get all the necessary information beforehand.

Now we need to calculate

\frac{dy}{dx}=3x^2 \rightarrow \frac{dy}{dx}(3)=3(3)^2=27.

Therefore

\frac{dy}{dt}(x=3)=\frac{dy}{dx} (x=3) * \frac{dx}{dt}(x=3) or

\frac{dy}{dt}(x=3)=27 *2 = 54.

7 0
4 years ago
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