All categories

3 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]3 years ago

4 0

Answer:

a = 3

Step-by-step explanation:

-12x³+14x²+6x = -2x(ax+1)(2x-3)

Divide both sides by -2x(2x-3)

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

ax+1=3x+1

Subtract 1 from both sides

ax=3x

Divide both sides by x

a=3

You might be interested in

I need help on this homework

wel

(-9x²-2x) - (-9x²-3x) = (-9x²-2x) +(9x²+3x) = -9x²-2x+9x²+3x = (-9x²+9x²)+(-2x+3x) = x

8 0

3 years ago

Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi

Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0

2 years ago

Can I get another answer please ?

gavmur [86]

G(x) = x^2 + 2x + 6
g(x) = x^2 + 2x + 1 + 5
g(x) = (x+1)^2 + 5

so
f(x) = x^2 to g(x) = (x+1)^2 + 5
shifted to the left 1 unit and up 5 units

answer is A. left 1 unit and up 5 units

4 0

3 years ago

Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava

ryzh [129]

Answer:

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

5 0

3 years ago

Find the slope of the line that passes through these two points.

AysviL [449]

Answer:

1/5

Step-by-step explanation:

$\frac{2-1}{3--2} = \frac{1}{5}$

8 0

3 years ago

Read 2 more answers