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GarryVolchara [31]
3 years ago
13

Solve: K(k+1) - 3k(k+1)

Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0

Answer:

-2k(k+1)

Step-by-step explanation:

Let's rewrite the equation to make it a little bit easier:

k(1+k) - 3k(1+k)

Then, factor out the common term k(1+k):

k(1+k)(1-3)

Simplify:

-2k(k+1)

Hope this helps!!

Leviafan [203]3 years ago
4 0

Answer:

k = 0 and k = -1

Step-by-step explanation:

To solve this, first distribute the terms inside the parenthesis. This should give you: k^2 + k - 3k^2 - 3k

Then, combine like terms to get: -2k^2 - 2k = 0

In this, you can factor out a -2k, giving you the new equation: -2k (k + 1) = 0

Set -2k equal to 0 and k + 1 equal to 0.

-2k = 0

Divide -2 onto both sides, leaving you with k = 0

k + 1 = 0

Subtract 1 from both sides, leaving you with k = -1

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There are 8 swimmers in the swimming club. The club bought c swimming caps to split among its members. Write an expression that
love history [14]

Answer:

c/8

Step-by-step explanation:

This is division. This can be figured out by reading "split". If something is to be split, it is the dividend.

5 0
2 years ago
Read 2 more answers
Can someone please help!!!
RideAnS [48]

Answers:

  • System 1:  x = 3 and y = -5
  • System 2: x = 1 and y = 2

==========================================================

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

  • The x terms subtract to 7x-x = 6x
  • The y terms subtract to 0 and go away
  • The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

----------------------------

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}

Now we have the same situation as before: Subtract straight down, solve for x.

  • The x terms subtract to 7x-(-2x) = 7x+2x = 9x
  • The y terms go away when subtracting
  • The right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

6 0
2 years ago
What is the equivalent form of the mathematical expression 14 + 35?
Ira Lisetskai [31]

Answer: 7(2 + 5)

Step-by-step explanation:

7(2 + 5)

14 + 35

4 0
3 years ago
Read 2 more answers
Solve the equation : 8+10^x=1008
Marizza181 [45]
Hi there.

I'm just going to put the answer for now. I might come back and edit my answer if I figure out how to solve this the long way.

All I did was figure out what exponent you raise 10 to. 

10³ = 1000

So, we now have 8 + 10³ = 1008

Edit:

I did it on paper - here it is broken down.

8 + 10^{x} = 1008

Subtract 8 from both sides.

10^{x} = 1000

We know that 10³ = 1000

<em>x</em> = 3

~
7 0
3 years ago
The length of a rectangle is 4 ft longer than its width.
son4ous [18]

Answer:

96

Step-by-step explanation:

40=4x+8

32=4x

x=8

other side x+4 is 12

area is 12×8

96

6 0
2 years ago
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