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kodGreya [7K]
3 years ago
15

(D2+6d+9)+(d3-6d+9)

Mathematics
2 answers:
sweet [91]3 years ago
6 0

Collect like terms:

(8d+9) +(-3d+9)

Remove paranthesis:

8d+9-3d+9

Answer:

5d+18

Simora [160]3 years ago
4 0

Answer:5d+18

Step-by-step explanation:

(8d+9)+(-3d+9)

8d+9+-3d+9

8d-3d=5d

9+9=18

5d+18

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A basket of laundry is being separated. Divide 48 pieces into 2 clothing groups so the ratio is 1 to 3
KiRa [710]
\bf 48\qquad 1:3\qquad \cfrac{1}{3}\qquad \qquad \cfrac{1\cdot \frac{48}{1+3}}{3\cdot \frac{48}{1+3}}\implies \cfrac{1\cdot 12}{3\cdot 12}\implies \cfrac{12}{36}

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3 0
3 years ago
Stuck on this it's Algebra 2 12x^{3} -3x^{2} =0
olchik [2.2K]

Answer:

Exact Form:

x = 0, 1/4

Decimal Form:

x = 0, 0.25

Step-by-step explanation:

<u>Step 1: Factor 3x^2 out of 12x^3 - 3x^2 </u>

Factor 3x^2 out of 12x^3:

<em> 3x^2 (4x) - 3x^2 = 0</em>

Factor 3x^2 out of -3x^2:

<em> 3x^2 (4x) + 3x^2 (-1)  = 0</em>

Factor 3x^2 out of -3x^2 <em>(4x) + 3x^2 (-1) </em>:

<em> 3x^2 (4x-1) = 0</em>

<em />

<u>Step 2: Divide each term by 3 and simpify</u>

<u></u>

divide each term in 3x^2 (4x-1) = 0 by 3.

3x^2 (4x-1) / 3 = 0 / 3

<em>simplify 3x^2 (4x-1) / 3.</em>

<em />

<em>Cancel the common factors.</em>

<u><em>3</em></u><em> </em>x^2 (4x -1) / <em><u>3</u></em> = 0 / 3

divide x^2 (4x-1) by 1.

x^2 (4x-1) / 3 = 0 / 3

Apply the Distributive Property

Reorder.

Rewrite using the commutative property of multiplication.

4x^2 x + x^2 · -1 = 0 / 3

Move -1  to the left of  x^2

4x^2 x -1 · x^2  = 0 / 3

Simplify each term

multiply x^2 by x^2 by adding the exponents.

Move x

4 (x · x^2) -1 · x^2= 0 / 3

Multiply x by x^2

Rase x to the power of 1.

4 (x^1 · x^2) -1 · x^2= 0 / 3

Use the power rule a^m a^n = a^m+n to combine exponents

4x^1+2 -1 · x^2= 0 / 3

Add 1 and 2.

4x^3 -1 · x^2= 0 / 3

Rewrite -1x^2  as -x^2.

4x^3 -x^2= 0 / 3

Divide 0 by 3

4x^3 -x^2= 0

<u>Step 3: Factor x^2 out of 4x^3 -x^2.</u>

Factor x^2 out of 4x^3

x^2 (4x) -x^2 = 0

Factor x^2 out of -x^2

x^2 (4x) x^2 · -1 = 0

Factor x^2 out of x^2 (4x) x^2 · -1

x^2 (4x -1) = 0

If any individual factor on the left side of the equation is equal to 0,  the entire expression will be equal to  0

x^2 = 0

4x -1 = 0

Set x^2 equal to 0 and solve for x

x = 0

Set 4x -1 equal to 0 and solve for x

x = 1/4

The final solution is all the values that make x^2 (4x-1) = 0 true

x= (0, 1/4)

6 0
3 years ago
Find the ratio of the width to the length of the rectangle, then simplify the ratio. Use the conversion 100 cm = 1 m.
valkas [14]
The answer to the question is c 
3 0
3 years ago
- 16m’n-(-25m’n)+(-7m’n)Which of the following is equivalent to the expression above?
Westkost [7]

As a rule , - times - = + and - times + = -

\begin{gathered} -16m^2n-(-25m^2n)+(-7m^2n\text{ ) } \\ =-16m^2n+25m^2n-7m^2n\text{  ( based on the rule above )} \\ =+9m^2n-7m^2n\text{    ( -16 + 25 = + 9 )} \\ =+2m^2n \end{gathered}

Therefore the correct answer to the question is 2m squared n

5 0
1 year ago
A cooler holds 20 cups of water. There are 12 3/4 cups of water in the cooler. Can the cooler hold an additional 6 5/6 cups of w
Fantom [35]
Yes. Since 12 3/4 cups can be rounded up to 13 and 6 5/6 can be rounded up to seven, and 13+7 equals 20, so you would be able to put the additional amount if cups into the cooler.
8 0
3 years ago
Read 2 more answers
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