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3 years ago

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

1 answer:

4 0

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

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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu

Flura [38]

Answer:

The speed of car in miles per minute is $\frac{2}{3}$ miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 $\frac{1}{3}$ = $\frac{7}{3}$ miles

The Time taken by car to cover distance = 3 $\frac{1}{2}$ min = $\frac{7}{2}$ min

The speed o car in miles per minute = S miles/min

So, Speed = $\dfrac{\textrm Distance}{\textrm Time}$

Or, S = $\frac{\frac{7}{3}}{\frac{7}{2}}$ mie per min

∴ S = $\frac{2}{3}$ miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = $\frac{7}{2}$ × $\frac{1}{60}$ = $\frac{7}{120}$ hours

So , Speed = $\dfrac{\textrm Distance}{\textrm Time}$

Or, x = $\frac{\frac{7}{3}}{\frac{7}{120}}$ miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is $\frac{2}{3}$ miles per minute and the speed of car in mile per hour is 40 miles per hour, answer

7 0

4 years ago

24=9x+4-4x Solve equation. Check your answer.

sammy [17]

Answer:

x=4. Verified, Not wrong.

Step-by-step explanation:

24=9x+4-4x

24 = 5x+4

20-4

5x=20

(divide)

x=4

5 0

3 years ago

Read 2 more answers

Solve: 3 = 27^2x+1 please solve quickly! thank you!

kap26 [50]

Answer: I believe this will be your answer for this.

x = $2/729$ so basically this is your solution of x equaling to 2 over 729.

(hope this helps!)

8 0

2 years ago

What is f(x)=-2x+7, where x=-5

Amiraneli [1.4K]

Answer:

the answer is 17 since you multiply a negative 5 by a negative which is positive 10 and add 7 to that its 17

Step-by-step explanation:

3 0

3 years ago

Suppose the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average

arsen [322]

Answer:

0.5372

Step-by-step explanation:

Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.

Let X be the no of births in the hospital per hour

X is Poisson

with mean = 1.8

the probability of observing at least two births in a given hour at the hospital

= $P(X\geq 2)\\= 1-F(1)\\= 1-0.4628\\= 0.5372$

the probability of observing at least two births in a given hour at the hospital = 0.5372

4 0

3 years ago