3 years ago

Consider the equation: 6x+55=x^2

Mathematics

2 answers:

iren [92.7K]3 years ago

8 0

Answer:

1. x² - 6x + 9 = 55 + 9

x²-6x+9 = 64

2. (x-3)² = 64

x- 3 =+-8

x= 3+8 or 3 -8

x = 11 or 5

kotykmax [81]3 years ago

3 0

Answer:

$(x-3)^{2} =64x = 3 +/-8$

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Which is the inverse of the function f(x) = 4x2

Sholpan [36]

Answer:

$\sqrt{\frac{x}{4}}$ and $-\sqrt{\frac{x}{4}}$

Step-by-step explanation:

The function is given as $f(x)=4x^2$

to find inverse, we follow the steps shown below:

1. write "y" in place of "f(x)"

2. interchange "x" and "y"

3. solve for the new "y"

4. replace y with f^-1(x)

Let's do this:

$f(x)=4x^2\\y=4x^2\\x=4y^2\\y^2=\frac{x}{4}\\y=+-\sqrt{\frac{x}{4}}$

These 2 are the inverse functions.

3 0

3 years ago

Read 2 more answers

How much would $500 invested at 6% interest compounded monthly be worth after 5 years

likoan [24]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &5
\end{cases}
\\\\\\
A=500\left(1+\frac{0.06}{12}\right)^{12\cdot 5}\implies A=500(1.005)^{60}\implies A\approx 674.42508$