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zubka84 [21]
3 years ago
8

Which polynomial represents the sum below? (4x^2+6) + (2x^2+6x+3)

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
7 0

Answer:

Option D -  (4x^2+6)+(2x^2+6x+3)=6x^2+6x+9

Step-by-step explanation:

Given : Polynomial (4x^2+6) + (2x^2+6x+3)

To find : Which polynomial represents the sum below?

Solution :

Step 1 - Write the polynomial

(4x^2+6)+(2x^2+6x+3)

Step 2 - Open the parenthesis,

=4x^2+6+2x^2+6x+3

Step 3 - Add like terms,

=6x^2+6x+9

Therefore, Option D is correct.

(4x^2+6)+(2x^2+6x+3)=6x^2+6x+9

katrin2010 [14]3 years ago
6 0
D. Add like terms.
So 4x^2+2x^2=6x^2
6x is only x term
6+3=9

So D. 6x^2+6x+9
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Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28
Anastaziya [24]

<em>The right question is:</em>

\frac{1}{2}x - 3y = 9

5x + y = 28

Answer:

<em></em>x = 6<em> </em>

y = -2<em></em>

<em></em>

Step-by-step explanation:

Given

\frac{1}{2}x - 3y = 9

5x + y = 28

Required

Solve for x and y

Make y the subject of formula in the second equation

y = 28 - 5x

Substitute y = 28 - 5x in the first equation

\frac{1}{2}x - 3(28 - 5x) = 9

Open the bracket

\frac{1}{2}x - 3*28 - 3*- 5x = 9

\frac{1}{2}x - 84 + 15x = 9

Collect Like Terms

\frac{1}{2}x  + 15x = 9+ 84

\frac{x}{2}  + 15x = 9+ 84

\frac{x+30x}{2} = 93

\frac{31x}{2} = 93

Multiply both sides by 2

2 * \frac{31x}{2} = 93 * 2

31x = 186

Divide both sides by 31

\frac{31x}{31} = \frac{186}{31}

x = \frac{186}{31}

x = 6

Recall that y = 28 - 5x

So;

y = 28 - 5 * 6

y = 28 - 30

y = -2

Hence;

<em></em>x = 6<em> and </em>y = -2<em></em>

8 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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These angles are supplementary.
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. 82 degrees + 98 degrees = 180 degrees.
8 0
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