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erastova [34]
3 years ago
10

How to combine like terms

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
8 0
1) 4x + 12x² + 9 + 3y + 2x + 11y
6x + 12x² + 14y + 9

2) x² + 2y + 15x² + 4x + 21
4x + 16x² + 2y + 21

3) 8x + 12 + 17y + 3x + y + 8
11x + 18y + 20

Hope this helps :)
dalvyx [7]3 years ago
5 0
First combine the terms with the same variable and add the coefficients. since you are working with exponents, you have to remember that the you can only combine variables with the same degree ie.
2 {x}^{2}  + 2x {}^{2}  = 4x {}^{2}
not
2 {x}^{2}  + 2 {x}^{2}  = 2x {}^{4}
now that you know this, also rememer to keep the term with the highest degree first.

so if the question is:
4x + 12x {}^{2}  + 9 + 3y + 2x + 11y
first I would combine it to

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Nutka1998 [239]

Answer:

omg

I

1. 3×3×3×3 = 81

2. 2²a³

3. (-5)³ (-5×-5×-5) = -125

4. 1

5. a^m-n

II

1. 1.6807× 10⁴

2. (7×7×7) × (2×2×2×2×2×2) = 21952

3. 32²

4. 2187

5. 803025

3 0
2 years ago
Read 2 more answers
William buys a book for $14.85. If he pays with a $20 bill, what will his change c be? Write an equation.
butalik [34]
<h3>Answer:  14.85 + c = 20</h3>

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

Reason:

To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)

The change c is

c = 20-14.85

To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20

In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.

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

Extra info (optional section)

If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00

Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.

4 0
2 years ago
Simplify (x^2 y^3) (x^4 y^2)<br> a. X^6y^5<br> b. x^8y^6<br> c. 2x^8y^6<br> d. 2x^6y^5
Vaselesa [24]
The correct answer would be A) X^6 Y^5
8 0
3 years ago
Need help please on this one
OverLord2011 [107]

Answer:   3/2

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

Explanation:

Pick any two points on the red line. I'll pick (0,1) and (2,4)

Those coordinates will be plugged into the slope formula below

m = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(2 - 0)

m = 3/2

This means we go up 3 and over to the right 2 when traveling along this red line.

8 0
2 years ago
            Find the approximate solution of this system of equations.
Montano1993 [528]
Y = |x² - 3x + 1|
y = x - 1

|x² - 3x + 1| = x - 1
|x² - 3x + 1| = ±1(x - 1)
|x² - 3x + 1| = 1(x - 1)       or      |x² - 3x + 1| = -1(x - 1)
|x² - 3x + 1| = 1(x) - 1(1)    or    |x² - 3x + 1| = -1(x) + 1(1)
|x² - 3x + 1| = x - 1        or         |x² - 3x + 1| = -x + 1
  x² - 3x + 1 = x - 1         or          x² - 3x + 1 = -x + 1
        - x        - x                                + x         + x
  x² - 4x + 1 = -1           or            x² - 2x + 1 = 1
              + 1 + 1                                       - 1 - 1
  x² - 4x + 1 = 0              or           x² - 2x + 0 = 0
  x = -(-4) ± √((-4)² - 4(1)(1))    or    x = -(-2) ± √((-2)² - 4(1)(0))
                      2(1)                                             2(1)
  x = 4 ± √(16 - 4)            or            x = 2 ± √(4 - 0)
                 2                                                 2
  x = 4 ± √(12)              or               x = 2 ± √(4)
             2                                                  2
 x = 4 ± 2√(3)               or               x = 2 ± 2
             2                                                2
 x = 2 ± √(3)                or                x = 1 ± 1
 x = 2 + √(3)  or  x = 2 - √(3)   or    x = 1 + 1    or    x = 1 - 1
                                                      x = 2       or       x = 0
y = x - 1          or           y = x - 1                            or    y = x - 1   or    y = x - 1
y = (2 + √(3)) - 1    or    y = (2 - √(3)) - 1          or         y = 2 - 1    or    y = 0 - 1
y = 2 - 1 + √(3)     or      y = 2 - 1 - √(3)          or           y = 1      or       y = -1
y = 1 + √(3)        or        y = 1 - √(3)               (x, y) = (2, 1)    or    (x, y) = (0, -1)
       (x, y) = (2 ± √(3), 1 ± √(3))

The solution (0, -1) can be made by one function (y = x - 1) while the solution (2 ± √(3), 1 ± √(3)) can be made by another function (y = |x² - 3x + 1|). So the solution (2, 1) can be made by both functions, making the two solutions equal.
4 0
3 years ago
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