All categories

2 years ago

Rational exponents; what do i do???

Mathematics

1 answer:

Marta_Voda [28]2 years ago

6 0

Answer:

$x = -\dfrac{48}5$

Step by step explanation:

$~~~~~~~\dfrac{x^2+12x+36}{2x^2}-\dfrac{x^2 +7x +12}{2x^2}= \dfrac 5{4x}\\\\\\\implies \dfrac{x^2 +12x +36 -x^2 -7x -12}{2x^2 } = \dfrac 5{4x}\\\\\\\implies \dfrac{5x+24}{2x^2} = \dfrac 5{4x}\\\\\\\implies 4x(5x+24) = 5(2x^2)\\\\\\\implies 20x^2+96x= 10x^2\\\\\\\implies 20x^2 -10x^2 +96x=0\\\\\\\implies 10x^2 +96x= 0\\\\\\\implies 5x^2 +48x = 0\\\\\\\implies x(5x+48)=0\\\\\\\implies x = -\dfrac{48}5~~~~~;[x\neq 0]$

You might be interested in

How do I find surface area in a rectangular prisms

-Dominant- [34]

Answer:to find any geomtric shape draw like a solid box, if you can faltten it out and add diagrams,and labels

but volume is diffrent

Step-by-step explanation:

if helpful can you mark me brainest or give me a thanks

7 0

3 years ago

Read 2 more answers

Hey pls help !!! worth 25 points

amm1812

Start with the point-slope form: $y-y_1 = m(x-x_1)$ .

Then you substitue in the slope and coordinates from the point:

$y-5 = 2(x-(-7))$

You don't do a lot of clean up to the form, with the exception of turning "minus negative 7" into "plus 7".

$y-5 = 2(x+7)$

Thar be yer answer!

5 0

2 years ago

Tommy is mounting a new television up in his living room, and the area of the television is 255 cm squares. What is the total di

solong [7]

Answer:

63.75

Step-by-step explanation:

255 divided by 4

7 0

2 years ago

The two intervals (114.9, 115.7) and (114.6, 116.0) are confidence intervals (computed using the same sample data) for μ = true

kenny6666 [7]

Answer:

115.3 hertz

Step-by-step explanation:

For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.

For the first interval:

$M=\frac{114.9 + 115.7}{2} \\M=115.3\ hertz$

For the second interval:

$M=\frac{114.6 + 116.0}{2} \\M=115.3\ hertz$

4 0

3 years ago

Which is the best estimate for the percent equivalent to 3/8

Doss [256]

Answer:

D. 38%

Step-by-step explanation:

3/8 as a percentage is 37.5% and that is rounded to 38%! :) 37% is close but it is not rounded making it not the best estimate, therefore it is not correct.

8 0

3 years ago