All categories

3 years ago

6/x = 2x+4/5

Mathematics

2 answers:

melamori03 [73]3 years ago

8 0

Answer:

5x² + 2x - 15 = 0

Step-by-step explanation:

Given

$\frac{6}{x}$ = 2x + $\frac{4}{5}$

Multiply through by 5x ( common denominator )

30 = 10x² + 4x ( subtract 30 from both sides )

0 = 10x² + 4x - 30 ( divide through by 2 )

0 = 5x² + 2x - 15 , that is

5x² + 2x - 15 = 0

qwelly [4]3 years ago

4 0

Answer:

x^2+2x-15=0

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

You might be interested in

Pennsylvania has a land mass of 44,816 square miles.What is the land area of Pennsylvania rounded to the nearest hundred?

sineoko [7]

The answer would be 44,800 if you want to round the hundreds place

4 0

2 years ago

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

2 years ago

What is the volume of the right triangular prism?( please input your answer as a number without a unit.)

77julia77 [94]

I hope this helps you

V=Base Area×Height

V=4.8/2×12

V=16×12

V=196

4 0

3 years ago

What is 9 to the power of 4 times 7 to the power of 2

natta225 [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write a summary about decimals that are equivalent to fractions with denominators of 10 or 100. EXTRA CREDIT

Flura [38]

Decimals that contain a zero in the tenth position can be thought of as a fraction over 100 as the tenth isn't occupied and the hundredth correlates to the 100 as a denominator. The same goes for a number with the tenth position occupied. These decimals would be put over 10 as they are occupying that position in the decimal.

7 0

3 years ago