All categories

3 years ago

Find the solution x/5-1/5=x/3+1/4

Mathematics

1 answer:

insens350 [35]3 years ago

8 0

Answer:

x = - 27/8

Step-by-step explanation:

¹²⁾x/5 - ¹²⁾1/5 = ²⁰⁾x/3 + ¹⁵⁾1/4

12x - 12 = 20x + 15

- 12 - 15 = 20x - 12x

- 27 = 8x

x = - 27/8

You might be interested in

9, 2.5, –4, –10.5, –17, .

Vedmedyk [2.9K]

What do you mean? If you want it in order than you can say it. -17, -10.5, -4, 2.5, 9

7 0

3 years ago

G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$

2. Since

$G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x)$ the function is neither even nor odd.

3. The domain is $x\in (-\infty,\infty),$ the range is $y\in (-\infty,\infty).$

8 0

2 years ago

Read 2 more answers

Allison and Megan were at track practice. The track is 3/8 kilometers around.

Ad libitum [116K]

Allison ran 3/8 km (0.375 km) in 3 minutes.

Set up a proportion to find how long it takes for her to run 1 km

$\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}$

Cross multiply to get:

$3 = 0.375x$

Solve:

$x = \frac{3}{0.375}$

x = 8 minutes

5 0

2 years ago

Please help fast! give me the equation

uranmaximum [27]

$\begin{bmatrix}x=\frac{\pi }{2}+2\pi n\\ x=\frac{3\pi }{2}+2\pi n\\ x=\frac{3\pi }{4}+\pi n\\ x=\frac{7\pi }{4}+\pi n\end{bmatrix}$

$\begin{bmatrix}\frac{3\pi }{2}+2\pi n=\frac{\pi }{2}+2\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{3\pi }{4}+\pi n\\ \frac{3\pi }{2}+2\pi n=\frac{7\pi }{4}+\pi n\end{bmatrix}$

$\pi =0$

- hope this helps! -

6 0

2 years ago

1. Your age is greater than 12 years.

Mnenie [13.5K]

Answer:

yes

Step-by-step explanation:

shjsjsbebebebsbdbbxhx

3 0

3 years ago

Read 2 more answers