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shepuryov [24]
3 years ago
11

What is the completely factored form of 6x2 - 13x - 5?

Mathematics
2 answers:
AnnZ [28]3 years ago
5 0

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

6x² - 13x - 5

you can solve this by factoring method by observing the factors of the x² term or the constant term. But because in this case the x² term is 6 (i.e ≠ 1), it will probably be easier to find the roots of the equation.

We'll use completing the square:

let 6x² - 13x - 5 = 0 (divide both sides by 6, to make the x² term = 1)

(6x² - 13x) / 6 = 5 /6

x² - (13/6)x = 5 /6  (complete the square by adding [(13/6)÷2 ]²= (13/12)² to both sides)

x² - (13/6)x + (13/12)²= 5 /6 + (13/12)²

[x - (13/12) ]²  = 289/144

x - (13/12) = ±√(289/144)

x - (13/12) = ± (17/12)

x = (13/12) ± (17/12)

hence

x = (13/12) + (17/12)

x = 5/2

2x = 5

2x-5 = 0 ---> hence (2x - 5) is a factor

OR

x = (13/12) - (17/12)

x = -1/3

3x = -1

3x+1 = 0 ---> hence (3x + 1) is a factor

Since we know that a quadratic equation can have at most 2 real roots, we can conclude that these are the only 2 real factors

Combining the 2 factors we have found,

6x² - 13x - 5 = (2x - 5)(3x + 1)

aleksley [76]3 years ago
3 0

Answer:

the answer would be (2x-5)(3x+1).

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Can someone help me here ASAP? this question is worth 20 points. will mark the brainliest, thank you so much in advanced.
worty [1.4K]

Answer:

1. a) (1-1) (1-2) (1-3) (2-1) (2-2) (3-1)

2. a) (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)

3. d) (1-3) (2-3) (3-1) (3-2) (3-4) (3-5) (3-6) (4-3) (5-3) (6-3)

Step-by-step explanation:

1. added the numbers in the parenthesis and A had all of the sums less than 5

2. A had all the 5s in the first spot

3. D had the  3s in each parenthesis

3 0
3 years ago
Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their fi
Studentka2010 [4]

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

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b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

8 0
2 years ago
WILL MEDAL help me if please
nordsb [41]
1. Use the FOIL method (x+9)(x+9)
First, outer, inner, last
x^{2} +9x+9x+81
Add your like terms
x^{2} +18x+81

2. When you add or subtract polynomials you add or subtract the like terms and then put them in order from largest to smallest exponents.

3. -5x(5 x^{3} +10 x^{2} -6x+3)

4. Since it is the perimeter, we add the 3 together.
(2 x^{2} +4x-3)+(-3 x^{2} -3)+(5x+19)
Add the like terms together:
2 x^{2} +(-3 x^{2} )=- x^{2}  \\ 4x+5x=9x \\ -8+(-3)+19=8
Put them in order of exponents
- x^{2} +9x+8

Hope this helps
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Answer:

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Step-by-step explanation:

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