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tiny-mole [99]
3 years ago
10

(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)

Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0
Let's simplify step-by-step.<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>−<span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span>
Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>
ANEK [815]3 years ago
5 0

Answer:

-6x^2+10x+7

Step-by-step explanation:

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Urgent <br> find the values of x and y 8x+5y=-5 7x-3y=3
german

Answer:

x= 0, y= -1

Step-by-step explanation:

To obtain the values of x and y from a system of equations, start by labelling the given equations.

8x +5y= -5 -----(1)

7x -3y= 3 -----(2)

Let's solve by elimination.

Here, I will be working to eliminate the y term. This is done by ensuring both equations have the same numerical value in the coefficient of y.

(1) ×3:

24x +15y= -15 -----(3)

(2) ×5:

35x -15y= 15 -----(4)

Add the two equations together since the coefficient of y has opposite signs.

(3) +(4):

24x +15y +35x -15y= -15 +15

59x= 0

Divide both sides by 59:

x= 0

Now, substitute the value of x into any equations to find the value of y.

Substitute x= 0 into (1):

8(0) +5y= -5

5y= -5

Divide both sides by 5:

y= -5 ÷5

y= -1

Additional:

For similar questions on system of equations, do check out the following!

  • brainly.com/question/4346392

6 0
2 years ago
..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many stud
zysi [14]

Answer:

Number of student bring their lunch = 60

Step-by-step explanation:

Given:

Total number of student = 600

Student bring their lunch = 10%

Find:

Number of student bring their lunch

Computation:

Number of student bring their lunch = Total number of student x Student bring their lunch

Number of student bring their lunch = 600 x 10%

Number of student bring their lunch = 60

3 0
3 years ago
Which of the following expressions does not represent “increase a quantity n by 25%”?
nexus9112 [7]

Option C) 125n is the expression that does not represent “increase a quantity n by 25%

<u>Step-by-step explanation:</u>

The given expressions are for the quantity n which is increased by 25%.

  • Let us consider that n = 100.
  • The increase of n by 25 % is equal to 125.
  • Check for each options by substituting n=100 and the expression gives 125 or not.
  • Check which option does not represent the condition (increase of n by 25%)

<u>Option A) n + 0.25n </u>

Put n = 100,

⇒ 100 + 0.25(100)

⇒ 100 + 25

⇒ 125

So, option A) represents the given condition.

<u>Option B) (1 + 0.25)n</u>

Put n = 100,

⇒ (1+0.25) 100

Multiply 100 with each terms inside the bracket.

⇒ 100 + 25

⇒ 125

So, option B) represents the given condition.

<u></u>

<u>Option C) 125n</u>

Put n = 100,

⇒ 125 × 100

⇒ 12500

So, option C) does not represents the given condition.

<u>Option D) 1 1/4 n</u>

Put n = 100,

Convert the mixed fraction to proper fraction

⇒ (5/4) n

⇒ (5/4) 100

⇒ 500 / 4

⇒ 125

So, option D) represents the given condition.

<u></u>

<u></u>

7 0
4 years ago
5n + 4<br> What are the first five terms if n=1
USPshnik [31]

Answer:

9, 14, 19, 24, 29

Step-by-step explanation:

1) 5 x 1 = 5

5 + 4 = 9

2) 2 x 5 = 10

10 + 4 = 14

Now we know the first 2, we can use the difference to help us, the difference is +5

8 0
4 years ago
The volume of a cube is 512cm3. What is the side length of each side of the cube
Maurinko [17]
The side lengths of the cube are 8cm. I found this answer by taking the cube root of 512.
7 0
3 years ago
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