All categories

2 years ago

Which of the following is the correct factorization of this trinomial?

Mathematics

2 answers:

sasho [114]2 years ago

7 0

$\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: (3x - 4)(3x +4) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$\: 9 {x}^{2} - 0x - 16$

➺ $\: 9 {x}^{2} - 0 - 16$

➺ $\: 9 {x}^{2} - 16$

➺ $\: ( {3x})^{2} - ({4})^{2}$

➺ $\: (3x - 4)(3x + 4)$

♨ $\:( {a})^{2} - ({b})^{2} = (a + b)(a - b)$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}$

coldgirl [10]2 years ago

6 0

The answer is c. Difference of squares

You might be interested in

I don’t understand how to get the answer

vesna_86 [32]

128.1 / 92.5 * 100 = 140%

6 0

2 years ago

Read 2 more answers

What is the solution to this inequality: -4(3x-5)<2(3x+4)

Delicious77 [7]

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

7 0

2 years ago

Solve this <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti

vampirchik [111]

Answer:

Solution of equation ( x ) = 7

Step-by-step explanation:

In this question we have given with an equation that is 4 ( 5x - 2 ) = 2 ( 9x + 3 ). And we are asked to solve this equation that means we have to find the value of x.

Solution : -

 $\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )$ 

Step 1 : Removing parenthesis :

$\quad \longrightarrow \:20x - 8 = 18x + 6$

Step 2 : Adding 8 from both sides :

$\quad \longrightarrow \:20x - \cancel{ 8 }+ \cancel{8} = 18x + 6 + 8$

On further calculations we get :

$\quad \longrightarrow \:20x = 18x + 14$

Step 3 : Subtracting 18 from both sides :

$\quad \longrightarrow \:20x - 18x = \cancel{18x }+ 14 - \cancel{18}$

On further calculations we get :

$\quad \longrightarrow \:2x = 14$

Step 4 : Dividing with 2 on both sides :

$\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}} = \cancel{\frac{14}{2} }$

On further calculations we get :

$\quad \longrightarrow \: \blue{\boxed{ \frak{x = 7}}}$

Therefore, solution of this equation is 7 or we can say that value of this equation is 7 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

4 ( 5x - 2 ) = 2 ( 9x + 3 )

4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

4 ( 35 - 2 ) = 2 ( 63 + 3 )

4 ( 33 ) = 2 ( 66 )

132 = 132

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

<h2>#Keep Learning</h2>

4 0

1 year ago

Read 2 more answers

Please answer this math question

IgorC [24]

0.
1/2 = 1/2
No need to add anything

8 0

2 years ago

You roll a fair six sided die twice. The first roll shows a six and the second row shows 3

vazorg [7]

Answer:

4/12 simplified to 1/3 of rolling 2 times.

Step-by-step explanation:

3 0

1 year ago