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3 years ago

Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.

1 answer:

7 0

3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b

3x^2 - 2x - 8
a=3, b=-2, c=-8
a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4

replace bx with mx + nx and factor by grouping

3x^2 - 2x - 8 = 3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)

answer:
3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)

You might be interested in

The radius of a circle is decreasing at a rate of 6.56.56, point, 5 meters per minute. At a certain instant, the radius is 12121

Ilia_Sergeevich [38]

Answer:

The rate of change of the area of the circle is approximately $-490.09 \ m^2/min$ .

Step-by-step explanation:

Given:

$\frac{dr}{dt} = -6.5 \ m/min$

radius $r =12 \ m$

We need to find the rate of change of the area of the circle at that instant.

Solution:

Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

$A= \pi r^2$

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

$\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}$

Substituting the given values we get;

$\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min$

Hence The rate of change of the area of the circle is approximately $-490.09 \ m^2/min$ .

6 0

2 years ago

Erica earned 14 last week and 20 hours this wk if she earns9 per hour how much

Vlad1618 [11]

Add total hours worked (14+20=34) and multiply by hourly pay rate($9)

34
x9
306

5 0

2 years ago

If x+3/3 = y+2/2 then x/3 =

lukranit [14]

I'd say first isolate the "x"
(x+3)/3=(y+2)/2
x+3=3*(y+2)/2
x=3(y+2)/2 -3

so we get "x" equals three times "y" plus two which is then divided by two and subtracted by three.

after that I would simply divide both sides by three as shown below

x/3=( 3*(y+2)/2 -3)/3

x/3 =(y+2)/2 -1 (answer simplified)

5 0

3 years ago

Manufacturers don’t like defective products because it can give their brands a bad reputation. However, no production line is pe

Elena-2011 [213]

Answer:

0.99804932311

Step-by-step explanation:

We solve this using binomial probability

Binomial probability formula

= nCx × p^x × q^n - x

= n!/(n - x)! x!

Where n = Number of trials = 25 samples

x = Number of successes = 23

p = probability of success = 99% = 0.99

q = probability of failure = 1 - p

= 1 - 0.99

= 0.01

Hence,

p(at least 23 are properly filled) = p(X ≥ x)

= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]

= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]

= 0.0238084285 + 0.1964195352 + 0.7778213594

= 0.99804932311

3 0

3 years ago

Which of the following expressions are equivalent to -2(5 - 3)

Vlad [161]

Answer: -4

Step-by-step explanation:

No options were provided, but i'll simplify this expression.

*the number being NEXT to the parenthesis indicates that you have to multiply.

This expression involves the distributive property. This is when you have a number followed by an equation in parenthesis, like 2(3+1). To solve it, you multiply the number outside of the parenthesis by each number inside them.

-2(5-3)

-2(5) - -2(3)

-10 + 6

-4

So -2(5-3) simplifies to -4. I hope this could help!!

4 0

1 year ago

Read 2 more answers