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3 years ago

Is f(x)=(3x-6)(-4x+2) linear or quadratic

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Answer: It is quadratic.

Step-by-step explanation:

1. You have the following function:

$f(x)=(3x-6)(-4x+2)$

2. To determine if it is linear or quadratic, you can apply the Distributive property of multiplication, as you can see below:

$f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=-12x^{2}+30x-12$

3. The function has the form of a quadratic function:

$f(x)=ax^{2}+bx+c$

4. Therefore, it is a quadratic function.

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A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

faltersainse [42]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73$

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396$

add both amounts, and that's her investment for the 11 years.

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3 years ago

What is the slope of the line y = 3?

bonufazy [111]

Answer:

slope = 0

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis then slope = 0

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mr Goodwill [35]

Your answer is 3(x-3y)

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Calculate the Rate of Return on an initial investment of $6,000 valued at $6,500.

bezimeni [28]

Answer:

8.3%

Step-by-step explanation:

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Damm [24]

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