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postnew [5]
3 years ago
8

Simplify (3x2 − 2) + (5x2 + 5x − 1).

Mathematics
2 answers:
alexdok [17]3 years ago
8 0

Answer:

8x² + 5x - 3

Step-by-step explanation:

Given

(3x² - 2) + (5x² + 5x - 1)

Since both parenthesis are distributed by 1 just remove them, that is

3x² - 2 + 5x² + 5x - 1 ← collect like terms

= (3x² + 5x²) + 5x + (- 2 - 1)

= 8x² + 5x - 3

lions [1.4K]3 years ago
4 0

Answer: 9

The steps are in the picture

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When 4 times the number X is added to 12, the result is 8. What number results when two x x is added to 7?
Tomtit [17]

Answer:  9 i think, i don't know hope i helped :)

6 0
3 years ago
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Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2
valentina_108 [34]

Answer:

Solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2+6x-8=0 by completing the square method.

For completing the square method: we need to follow: a^2+2ab+b^2=(a+b)^2

We are given:

x^2+6x-8=0

Solving by completing the square

x^2+2(x)(?)+(?)^2-8=0

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17

So, solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

7 0
3 years ago
Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug
ValentinkaMS [17]

Answer: The radius of the circular rug is  6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is  6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Read 2 more answers
1 2 3 4 5 6 7 8 9 10
daser333 [38]
<h3>Answer:</h3>

2.25

<h3>Explanation:</h3>

Consider the square ...

... (x+a)² = x² +2ax +a²

The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².

The x-coefficient in your expression is 3. The square of half that is ...

... (3/2)² = 9/4 = 2.25

Adding 2.25 to both sides gives ...

... x² +3x + 2.25 = 6 + 2.25

... (x +1.5)² = 8.25 . . . . completed square

4 0
3 years ago
Please help? please ​
Deffense [45]

Answer:

7.75

Step-by-step explanation:

4 0
3 years ago
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