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kati45 [8]
3 years ago
5

Write this trinomial in factored form 6y^2 - 17y + 5

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

(3y - 1)(2y - 5)

Step-by-step explanation:

Given

6y² - 17y + 5

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.

product = 6 × 5 = 30 and sum = - 17

The factors are - 2 and - 15

Use these factors to split the y- term

6y² - 2y - 15y + 5 ( factor first/second and third/fourth terms )

= 2y(3y - 1) - 5(3y - 1) ← factor out (3y - 1) from each term

= (3y - 1)(2y - 5) ← in factored form

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X - y = 4<br> x + y = 8<br><br> The x-coordinate of the solution to the system shown is _____.
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Hello : 
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22. Solve 7x - 9 = 28+ 4(x - 1).<br> X=-3<br> X=3<br> x = 11<br> X=-11​
aleksley [76]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

<u><em>Steps:</em></u>

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

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Applying an identity for the cos(40°) does not get us very far…

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= 336.70125[2−(1−sin2(20°))]cot(20°)

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