What are the solutions to the equation below ?<br>6x^2+4x=0

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8

Schach [20]

Answer:

y - 2 = (1/8)(x + 8)

Step-by-step explanation:

The slope of the given line is -8. That means the slope of any line perpendicular to the given line will be the negative reciprocal of -8, which would be (1/8).

Then the desired equation is

y - 2 = (1/8)(x + 8)

4 0

3 years ago

Keisha solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 2x + 8 = 6(x + 4) Combine like terms 2 2x

kolbaska11 [484]

4x - 2x + 8 = 6(x + 4) Given

(4x - 2x) + 8 = 6(x + 4)

2x + 8 = 6(x + 4) Combine like terms

2x + 8 = (6)(x) + (6)(4)

2x + 8 = 6x + 24 Distributive Property

2x - 6x + 8 = 6x - 6x + 24

-4x + 8 = 24 Subtraction Property of Equality

-4x + 8 - 8 = 24 - 8

-4x = 16 Subtraction Property of Equality

-4x : (-4) = 16 : (-4)

x = -4 Division Property of Equality

4 0

3 years ago

Answer 1-6 (about square root)

Taya2010 [7]

Answer:

1. For a cube, volume = $edge^{3}$

2. $\sqrt[3]{volume}$ = edge

3. Volume of the cube = 216 so, the edge = $\sqrt[3]{216}$ = 6

4. 1st blank = 6

2nd blank = 6

3rd blank = 216

4th blank = 216

5. 6 is the edge

6. As the room is a square and we have to find the side

Area = 121

Edge = $\sqrt[2]{121}$ = 11

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

4 0

3 years ago

You have taken a long position in a call option on IBM common stock. The option has an exercise price of $142 and IBM's stock cu

REY [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

What are the solutions to the equation below ?6x^2+4x=0