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3 years ago

Solve the equation. 3(n+4)=12(6n+4)

Mathematics

1 answer:

Crank3 years ago

8 0

Answer:

n = -12/23

Step-by-step explanation:

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Which is equivalent to 3v8

Tomtit [17]

Answer:

Step-by-step explanation:

= $\sqrt[3]{8}^{x}\\$

= Since $\sqrt[3]{} = ^{1/3}$

= So, It becomes :

= $8^{\frac{x}{3}$

4 0

3 years ago

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What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?

Amanda [17]

The point-slope form of ay line is:

y-y1=m(x-x1), where m=slope and (x1,y1) is any point on the line.

In this case we are given that m=-12 and (x1,y1) is (5,3) so

y-3=-12(x-5)

8 0

3 years ago

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PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0

3 years ago

Mr. Parks took his grandchildren to a baseball game with plans to spend no more than $35 on snacks. An order of nachos costs $5

Nataly [62]

I think the right answer is b i'm not sure

3 0

3 years ago

Is the equation y = x3 even, odd, or neither?

Zinaida [17]

For an odd function, f(-x)=-f(x)
for an even function, f(-x)=f(x)
to determine which, just try out a few numbers or look at a graph
I believe its neither

7 0

3 years ago

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