All categories

3 years ago

What is the solution to k/k+1 + k/k-2 =2

1 answer:

4 0

$k\not=-1 \wedge k\not=2\\\\
\dfrac{k}{k+1}+\dfrac{k}{k-2}=2\\
k(k-2)+k(k+1)=2(k+1)(k-2)\\
k^2-2k+k^2+k=2(k^2-2k+k-2)\\
2k^2-k=2k^2-2k-4\\
k=-4$

You might be interested in

0.225 as a percent.

Stella [2.4K]

To turn a decimal into a percent, simply multiply it by 100.

.225 x 100 = 22.5%

Hope I helped!

7 0

4 years ago

Read 2 more answers

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

4 years ago

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box

anastassius [24]

F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0

3 0

4 years ago

What is the result when the number 50 is increased by 6%? Round your answer to the nearest tenth.

Readme [11.4K]

Answer:

Step-by-step explanation:

So all you have to do is multiply 1.06 * 50 = 53

3 0

4 years ago

Read 2 more answers

What is 5.76 as a whole

Nitella [24]

Answer:

5 76/100

Reduce the fractional part of the mixed number.

5 19/25

Convert

5 19/25

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

Add

and

Tap for fewer steps...

To write

as a fraction with a common denominator, multiply by

⋅

Combine

and

⋅

Combine the numerators over the common denominator.

⋅

Simplify the numerator.

Multiply

125

Add

125

and

144/25

Step-by-step explanation:

5 0

3 years ago