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4 years ago

What is the solution to the equation 1/x = x+3/2x^2

2 answers:

4 0

D. x = 3 because 3+3 is 6 and that is over 2*3^2 which is 2*9 which means it is 6/18 then you divide both the numerator and denominator by 6 and that =1/3.

HACTEHA [7]4 years ago

4 0

Answer: Option D x=3 is the solution to the given equation $\frac{1}{x} = \frac{x+3}{2x^{2}}$

Explanation:

we will do the reciprocal first on both the sides we will get x= $\frac{2x^{2}} {x+3}$

Now, x will cancell out from both sides in numerator we will get

1= $\frac{2x}{x+3}$

x+3 =2x

x=3

Hence, solution for given equation is x=3.

You might be interested in

How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?

Lorico [155]

The addition of +7 influences the y values of the graph. Since it is positive, the graph of y=IxI would be moved 7 units upwards.

Hope I helped :)

8 0

3 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

ipn [44]

Answer:

$y = \frac{-x}{3} + 5$

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and (-3, 6) is:

m = $\frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}$

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and (x₁, y₁) = ( -6, 7) in above equation,

$(y - 7) = \frac{-1}{3}(x - (-6))$

$(y - 7) = \frac{-1}{3}(x + 6)$

$3y - 21 = -x - 6$

$3y = -x - 6 + 21$

$3y = -x + 15$

$y = \frac{-x + 15}{3}$

$y = \frac{-x}{3} + 5$

Option B is the correct answer.

6 0

3 years ago

Read 2 more answers

Bill measures the circumference of a circular fish pond to be 28 ft. What is the diameter of the fish pond, rounded to the neare

zalisa [80]

It would be 9 ft. using the knowledge of $\pi$ times the diameter ( $\pi$ equals aprox. 3.14) equal the circumference of a circle, and since we know the circumference, we need to divide that by $\pi$ to get the diameter.

equation: 28/3.14=8.913
rounding that would bring it to 9 ft.

7 0

4 years ago

Question:

DanielleElmas [232]

Given A room is half as long again as it is broad

Let the breadth of the room x m

length of the room x + x/2 = 3x/2m

Area of the room , x × 3x/2 =<em> 3x²/2m</em>

Given , cost of carpeting the room at Rs. 3.25m⁻²

So , total cost , 3x²/2 × 3.25

But , Total cost of carpeting is given as 175.50 so ,

(3x²/2 )× 3.25 = 175.50
x² = 175.50 × 2 / 3.25 × 3
x² = 36
x = 6

Breadth x = 6 m
length 3x/2 = 9m

let the height of the room H m

Area of the four wall = 2(L+ b)× h 2(6+9)× H

= 30H m²

Area of the of the one door and two window is 8m²

8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²

Given cost of preparing wall is Rs. 1.40m²

total cost of preparing wall is (30H - 8) × 1.40

Total cost of preparing wall is given as 240.80

comparing , (30H - 8 ) × 1.40 = 240.80

(30H - 8 ) = 240.80 /1.40 = 172
30H -. 8 = 172
30H = 180
H = 180/30 = 6

Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m

3 0

3 years ago

How do I find the answer for 25/8-6/8

myrzilka [38]

First, subtract the numerators and keep the denominator. so it will be 19/8 then turn into a mixed number which will be 16 1/4

4 0

3 years ago

Read 2 more answers