2 years ago

The complete factorization of -12x^3 + 14x^2 +6x is -2x(ax + 1)(2x-3). What is the value of a?

Mathematics

1 answer:

tester [92]2 years ago

4 0

Answer:

a = 3

Step-by-step explanation:

-12x³+14x²+6x = -2x(ax+1)(2x-3)

<em>Divide both sides by -2x(2x-3)</em>

$\frac{-2x(ax+1)(2x-3)}{-2x(2x-3)} = - \frac{12x^{3} }{-2x(2x-3)} + \frac{14x^{2} }{-2x(2x-3)} +\frac{6x}{-2x(2x-3)}$

ax+1=3x+1

<em>Subtract 1 from both sides</em>

ax=3x

<em>Divide both sides by x</em>

a=3

You might be interested in

Helpppppppppppppppppppppppp

kupik [55]

Answer:

$360\ cm^2$

Step-by-step explanation:

<u>Step 1: Determine the area of the bottom rectangle</u>

$A = l * w$

$A = 10\ cm * 12\ cm$

$A = 120\ cm^2$

<u>Step 2: Determine the area of the back rectangle</u>

$A = l * w$

$A = 10\ cm * 5\ cm$

$A = 50\ cm^2$

<u>Step 3: Determine the area of the top rectangle</u>

$A = l * w$

$A = 10\ cm * 13\ cm$

$A = 130\ cm^2$

<u>Step 4: Determine the area of the triangle</u>

$A = \frac{h*b}{2}$

$A = \frac{5\ cm * 12\ cm}{2}$

$A = \frac{60\ cm^2}{2}$

$A = 30\ cm^2$

<u>Step 5: Determine the surface area</u>

$120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)$

$360\ cm^2$

Answer: $360\ cm^2$

4 0

2 years ago

Five times a number is the same as 30more than 8 times the number. Find the number

antoniya [11.8K]

Answer:

Step-by-step explanation:

5x=30+8

so x=6+1.6

7.6

<h3>Brainliest please!</h3>

3 0

3 years ago

A line drawn on the coordinate plane passes through the points (5, 3) and (9, –13). What is the equation of the line?

Fiesta28 [93]

Answer:

ehhhh 5,3

Step-by-step explanation:

6 0

2 years ago

Plz show or tell me how to show my work for my answer for question 44?

Svetradugi [14.3K]

Which question do you need help with?

8 0

3 years ago

Simplify expression (-9)

Anarel [89]

Answer:

-9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers