Julie's Responses in WyzAnt Answers

Name: Uranium
Symbol: U
Atomic Number: 92
Atomic Mass: 238.0289 amu
Melting Point: 1132.0 °C (1405.15 K, 2069.6 °F)
Boiling Point: 3818.0 °C (4091.15 K, 6904.4 °F)
Number of Protons/Electrons: 92
Number of Neutrons: 146
Classification: Rare Earth
Crystal Structure: Orthorhombic
Density @ 293 K: 18.95 g/cm3
Color: silverish

www.chemicalelements.com is a good website when you need specific element information.

-16=(x+3)^3(x^2)

Start by breaking down the problem:
Step One:  -16 = (x+3)(x+3)(x+3)(x^2)  (First, break it down and use the foil method)  

Broken down:

 (x+3) * (x+3)

= x^2 + 3x + 3x+ 9

= x^2 + 6x + 9

Now add that extra (x+3):

=(x^2+ 6x + 9)(x+3)

= (x^2 + 6x + 9)(x) + (x^2 + 6x+ 9)(3)

=x^3 + 6x^2 + 9x + 3x^2 + 18x + 27 (So put it in order by the largest polynomial)

=x^3 + 9x^2 + 27x + 27

Now add that extra (x^2)

=(x^3 + 9x^2 + 27x +27)(x^2)

=x^5 + 9x^4 + 27x^3 + 27x^2)

Now add the: -16 =

-16 = x^5 + 9x^4 + 27x^3 + 27x^2

Consider that -16 = (-4)(4). Because you need the negative answer, plug in -4 for x into the broken down polynomial:

-16 = (-4)(4)  = x^5 + 9x^4 + 27x^3 + 27x^2

If you plug in -4 for x you get: (-4^5) + 9(-4^4) + 27(-4^3) + 27 (-4^2) Simplified:

-16 = -1024 + 2304 + -1728 + 432 Simplified:

-16 = -16

First, start by looking at the problem: x^2 - 16x + 64 = 49

You can subtract 49 from both sides to simplify the problem. You are left with: x^2 - 16x + 15 = 0

Now try to reverse foil  x^2 - 16x + 15.

Think what adds to get 16, but multiplied = 15?

15 x 1 = 15 and 15+ 1 = 16

Because the 16 is negative in this problem, both the 15 and 1 would have to be negative.  So:

(x - 15) and (x - 1) would equal x^2 - 16x + 15 with the foil method. Since x - 15 would have to mean x = 15 and because x - 1 would have to mean x = 1,  plug  15 and 1 into the original problem, to recheck that these factors are correct:

(15)^2 - 16(15) + 64 = 49

225 - 240 + 64 = 49

Now lets try (x - 1):
(1)^2 - 16(1) + 64 = 49

1 - 16 + 64 = 49

So (x - 1) and (x - 15) are both factors of x^2 - 16x + 64 = 49

So x = 15 or x = 1

It helps to have definitions on hand as you are analyzing. I'm not going to analyze the entire article, but I will give you some examples.

Verbal Irony (aka sarcasm) - Speaker says something, but means something else entirely.

Situational Irony - poetic justice (like a robber getting robbed) or ironic situations (like a vegan eating a chicken leg because she was hungry).

Understatement - something is given less importance then it deserves.

Hyperbole - an exaggerated statement.

Wit - things written to make the audience laugh.

In the article, look at what is stated. For example:
- "a $15 fee for every piece of luggage customers have inside their bedroom closet"

-"a one-time payment of $40 for any American whose name is Greg"

-"Southwest is introducing a $125 round-trip fare for those walking to their corner store for some groceries"

^All three could be identified as examples of wit.  Charging someone for having luggage in his or her personal closet, charging someone for having a specific name, and charging someone for everyday activites shouldn't be taken seriously and most likely was meant to be a funny exaggeration, or "hyperbole," in relation to the payments people are paying for everyday activities.

-"'discouraged-from-flying-with-American-Airlines' charge if they do in fact choose not to fly with us."

^This could again be identified as wit, just look at the statement.

^This could also be identified as situational irony in that:  The flyers are being discouraged by the increasing costs, so the flyers decide to choose another airline. For changing their airline, they are being charged. This is an ironic situation.

Hopefully these examples can help give you some ideas!

6x - 2 = 2x + 18

(Add 2 to both sides of the =)

6x = 2x + 20

(Subtract 2x from both sides of the =)

4x = 20

(Divide 4 from both sides of the =)

x = 5

(Now plug in 5 as x in the original equation to recheck)

6(5) - 2 = 2(5) +18

30 - 2 = 10 + 18

28 = 28