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svetlana [45]
3 years ago
14

Add or Subtract to Simplify: (x5 + x3) - (6x - x3 + 6x5)

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

\boxed{ \bold{   \boxed{ \sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}}}}

Step-by-step explanation:

\sf{( {x}^{5}  +  {x}^{3} ) - (6x -  {x}^{3}  + 6 {x}^{5}) }

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

⇒\sf{ {x}^{5}  +  {x}^{3}  - 6x +  {x}^{3}  - 6 {x}^{5} }

Collect like terms

⇒\sf{ {x}^{5}  - 6 {x}^{5}  +  {x}^{3}  +  {x}^{3}  - 6x}

⇒\sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}

Hope I helped!

Best regards!!

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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

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

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

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

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

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

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the len
agasfer [191]
C. 40 
30x30=900
40x40=1600
total of 2500 take the square root and your left with 50 so everything balances out

5 0
4 years ago
Read 2 more answers
Please help and explain i will give brainly if you do that
Furkat [3]
The slope is:8
Because
M=rise/run
Or
Y2-Y1/X2-X1
Sooo…
-8-0/-3-(-2)
Or 8

Hope this helps:)
7 0
3 years ago
Read 2 more answers
C.) of a total of $10,000, part was invested at 10% simple interest and the remainder at
nlexa [21]

Answer:

$3,500 at 10% and $6,500 at 7%.

Step-by-step explanation:

M * 10% + (10000 - M) * 7% = 805

0.1M + 700 - 0.07M = 805

0.03M = 105

M = 3500

4 0
2 years ago
Fill in the table using the function rule y = 4 + 6x
xenn [34]

Answer:

10x

Step-by-step explanation:

5 0
3 years ago
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