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4 years ago

Factor a number, variable, or expression out of the trinomal shown below

Mathematics

1 answer:

monitta4 years ago

3 0

Ok, to start, let's look at the terms given in this trinomial: 6x^2, -12x, and 9.
Now, let's try to find the greatest common factor of the three terms, which would be 3. One way to do this would be to take each term and break it down using prime factorization, which would look like this:
6x^2= 2*3*x*x
-12x= -1*3*2*2*x
9= 3*3

When you look at the numbers when they are broken down, they all seem to share one factor, which is 3. This would be the greatest common factor you would factor out of the trinomial, and when you do so it should look like this

3(2x^2-4x+3) which would be your answer

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LekaFEV [45]

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3 years ago

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Geology in 1668, the Hope diamond was reduced from its original weight by about 45 carats, resulting in a diamond weighing about

vampirchik [111]

Answer: W = 112 carats

Step-by-step explanation: Let W be the original weight.

So we have

W - 45 = 67 add 45 to both sides

And that equals 112 carats

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3 years ago

For what value of k does the equation <br> 4+3x=(k+2)x+8

Elena L [17]

4+3x = (k+2)x + 8
4+2+3x = (k+2)x + 8 - 2
6+3x = (k+2)x + 6
then 3x = k+2
so k = 3X-2

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4 years ago

<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-%2015x-4%3D0" id="TexFormula1" title="5x^{2} - 15x-4=0" alt="5x^{2} - 15x-4=0"

Brrunno [24]

Answer:

Step-by-step explanation:

5x² - 15x - 4 = 0

Add 4 to both sides.

5x² - 15x = 4

The coefficient of 5x² is 5, divide both sides by 5.

x² - 3x = 4/5

The coefficient of -3x is -3. Let b=-3.

Then we need to add (b/2)^2=9/4 to both sides to complete the square.

Add 9/4 to both sides.

x² - 3x + 9/4 = 61/20

Factor left side.

(x-3/2)² = 61/20

Take square root of both sides.

x-3/2 = ± √(61/20)

Add 3/2 to both sides.

x = 3/2 ± √(61/20)

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4 years ago

Plz guys cmonnnnn there's gonna be more. WILL GIVE BRAINLIEST

Brums [2.3K]

Answer:

$6.3 \le p \le 8.1$

The third reading must be between 6.3 and 8.1 inclusive.

Step-by-step explanation:

To find the average of three numbers, add the three numbers and divide by 3.

Let the third reading = p.

The average of the three readings is

$\dfrac{7.4 + 7.9 + p}{3}$

This average must be between 7.2 and 7.8 inclusive. "Inclusive" means that the values 7.2 and 7.8 are allowed. That means the average must be greater than or equal to 7.2 and less than or equal to 7.8. We can write this as the following inequality.

$7.2 \le \dfrac{7.4 + 7.9 + p}{3} \le 7.8$

Simplify the numerator.

$7.2 \le \dfrac{15.3 + p}{3} \le 7.8$

Multiply the three sides by 3.

$21.6 \le 15.3 + p \le 23.4$

Subtract 15.3 from the three sides.

$6.3 \le p \le 8.1$

Answer: The third reading must be between 6.3 and 8.1 inclusive.

7 0

3 years ago