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3 years ago

How do we know what sign goes outside of the bracket when factoring binomials?

1 answer:

3 0

I'm assuming you're asking about negative or positive signs here. When I factor binomials, it depends on what would make factoring simpler for me. And how you're factoring the binomial too.

More often than not, it's going to be positive. For example, 4x^2 - 2x = 0. That would factor out to be 2x(2x-1) = 0. The sign outside is going to be positive because it's simpler to solve that way. Here, x is equal to 0 and equal to 1/2. Taking out a negative in this case would complicate the solving process.

You might be interested in

2x+3y=12 y=x+1.5 in substitution form

Marizza181 [45]

Answer:

x=1.5, y=3

Step-by-step explanation:

Substitution allows you to plug it into the equation in the form of 3y.

3 0

4 years ago

Perpendicular to x = 3<br>Passes through (-3,-1)

fiasKO [112]

Answer:

The answer in the media.Good luck!

6 0

4 years ago

A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend

Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b² + (5 + x)²...............(1)

using similarity of triangle

$\dfrac{x}{6}=\dfrac{5+x}{b}$

$b=\dfrac{5+x}{x}6$

from equation (1)

$L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2$

$= (5+x)^2(1+\dfrac{36}{x^2})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})$

$\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})$

for maxima or minima

$\frac{\mathrm{d} L^2}{\mathrm{d} x}=0$

x = -5 and x = ∛190 = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0

3 years ago

Car is driving at 30 kilometers per hour. How far in meters does it travel in 3 seconds?

Alenkasestr [34]

Answer:

25 meters

Step-by-step explanation:

30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)

30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second

30 km/hr = 8.3333333333 m/s (approximate)

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The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,

distance = rate*time

d = r*t

d = 8.3333333333 * 3

d = 24.9999999999

Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.

4 0

3 years ago

What is 8 multiplied by 8 subtracted by 21 multiplied by 200 divided by 96

never [62]

8x8-21x200/96
your answer is 20.25 when putting in the calculator

7 0

3 years ago