Question

Choose the correct simplification of (x^9)^2.

Answer 1

\[\huge{(A^n)^b=A^{n \times b}}\]

Answer 2

So it's x^81

Answer 3

I mean 18

Answer 4

yep

Answer 5

x^18, right?

Answer 6

yes

Answer 7

Okay what about this one.. Choose the correct simplification of 9y^0.

Answer 8

Anything raised to the power 0 =1

Answer 9

So it's 9y?

Answer 10

no y^0=1 so its 9x1=9

Answer 11

Well, my only options are
1

9y

0

9

Answer 12

Oh, 9. Duh

Sorry, I'm tired. :/

Answer 13

lol ok:D

Answer 14

Its okay * hehe

Answer 15

I have a couple more if you'd like to help. :)

Answer 16

lol sure

Answer 17

Choose the correct simplification of (3a2 + 8a − 4) + (5a2 − 4).

Answer 18

I should have put the ^

Answer 19

One sec.

Answer 20

Choose the correct simplification of (3a^2 + 8a − 4) + (5a^2 − 4).

Answer 21

How would u do it? just show me , and i will tell u where u go wrong

Answer 22

I would get the like terms, 3a and 8a and add them and then subtract the ^2 with - 4.

Answer 23

the like terms are 3a^2 and 5a^2 .. the next two terms are -4 and -4
so u add the like terms together
3a^2+5a^2+8a-4-4
=8a^2+8a-8

Answer 24

or I'd say 16a^2 - 8

Answer 25

Hmm...

Answer 26

I understand now. Let's try another. but let me make my GUESS! :D

Answer 27

Choose the correct simplification of (10x + 7) + (2x − 2).

Answer 28

12x + 5 ?

Answer 29

exactly:D

Answer 30

hm..

Answer 31

A more harder one. :[ Choose the correct classification of 2x4 − 8x5 − 2x2 + 5.

A) 5th degree polynomial

B) 4th degree polynomial

C) 11th degree polynomial

D) 12th degree polynomial

Answer 32

Choose the correct classification of 2x^4 − 8x^5 − 2x^2 + 5.

A)5th degree polynomial

B)4th degree polynomial

C)11th degree polynomial

D) 12th degree polynomial

Answer 33

What is the highest power of x in first one?

Answer 34

4

Answer 35

The highest power of x?

Answer 36

11

Answer 37

OH. 5.

Answer 38

yes so 5th degree

Answer 39

I see. So, the Highest power in a problem like that is the correct classification?

Answer 40

yes

Answer 41

I see. Do you mind helping me with 2 more?

Answer 42

sure

Answer 43

Alright.

Answer 44

Explain, in complete sentences, what it means to write a polynomial in standard form.

Answer 45

That means putting the variables of a polynomial in order from highest to lowest degree

Answer 46

Could you give me an example? Please.

Answer 47

for example
2x+9x^3+5x^2-6
writing it in standard form
9x^3+5x^2+2x-6

Answer 48

Ah. I get it now. So, 3x + 2x^4 + 7x^5 - 9 = 7x^5 + 2x^4 + 3x - 9. ??

Answer 49

yup:D

Answer 50

I get it now!

Answer 51

lol yay!

Answer 52

But..

Answer 53

Last one is here. :/

Answer 54

Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.

(10x2 − 5) − (3x2 − 2x + 7)

Answer 55

Hey, what is a 4-term polynomial?

Answer 56

is that 10x^2?

Answer 57

Disregard the problem I asked before the one I just asked lol. I need to know what a 4-term polynomial is..

Answer 58

a 4 term polynomial is a polynomial that has 4 terms
5x^3+2x^2+3x+1 count them they are 4
for example 5x^4+4x^3+2x^2+9x+1
thats a five term polynomial, count the terms they are 5

Answer 59

Term.. what is that? How many times you + or - or x or / ?

Answer 60

no 5x is a term
5x^2 is a term

Answer 61

Well, that's confusing. My problem says this. Provide an example of a 4-term polynomial, not in standard form, and explain how to rewrite it in standard form.

Answer 62

yeah For example the polynomial
5x+5x^6+2x^2+3x^3
here 5x is the first term
5x^6 is the second term
2x^2 is the third term
3x^3 is the fourth term
So There are four terms,
hence this is a 4-term polynomial

and making it in standard form, do it the same way we did it before

Answer 63

So this one in standard for would be... 5x^6 + 3x^3 + 2x^2 + 5x ??

Answer 64

yes

Answer 65

:) One more and I won't bother you anymore for a while. :]

Answer 66

Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.

(10x2 − 5) − (3x2 − 2x + 7)

Answer 67

Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.

(10x^2 − 5) − (3x^2 − 2x + 7)

Answer 68

lol its ok

Answer 69

7x^2 - 2x + 2?

Answer 70

First you distribute the minus sign in the second bracket
\[\large{10x^2-5-3x^2+2x-7}\]
now collect like terms\[\large{10x^2-3x^2+2x-5-7}\]=\[\large{7x^2+2x-12}\]

Answer 71

Wait... wouldn't it be 7x^2 + 2x + 2? (((( -5 + 7 = 2 ))))

Answer 72

no The minus sign is for the whole bracket
so 3x^2 becomes -3x^2
and -2x becomes +2x
and +7 becomes -7

Answer 73

So you HAVE to do that everytime with problems like these?

Answer 74

if thers a minus sign before the bracket yeah

Answer 75

You mean parantheses?

Answer 76

lol yeah

Answer 77

So, if it was... (10x^2 − 5) + (3x^2 − 2x + 7) I wouldn't have to distribute the - sign?

Answer 78

no they remain the same when thers a +

Answer 79

but (10x^2 − 5) − (3x^2 − 2x + 7) I would flip all the signs?

Answer 80

u flip the signs of the terms that are inside the parentheses right after the minus sign

Answer 81

Ohhhh okay. So not all of them just the ones after the MAIN sign?

Answer 82

yes

Answer 83

I get it.

Answer 84

You still there?

Answer 85

yeah

Answer 86

I'm going to post a new question. If you wanna help, let me know lol. Thank you for actually explaining those for me, by the way. :) -Careless

Answer 87

lol Id love to help

Answer 88

Okay!

Answer 89

Your goal is to create an algebracaching experience for a family member or friend similar to the ones you saw in the lesson. You must use different inequalities than the ones shown in the lesson.

Find a partner.
In Paint, PowerPoint, a program of your choosing, or using a scan of a handmade drawing, graph a system
of inequalities on a coordinate plane. Please limit your coordinate plane to a 10 × 10 grid. The x-axis and
y-axis should go from –5 to 5. Write the system of inequalities that accompanies your graph.
Pick an ordered pair within the shaded region to bury your “treasure.” Keep this ordered pair to yourself and do not share it with your partner.

Answer 90

Submit the system of inequalities in slope-intercept form to your partner. You will not share your graph or the hidden treasure
point, only the system of inequalities. Since your family member or friend is not in this course you will need to supply them with step by step directions on how to graph this system of inequalities. If your partner does not successfully guess the ordered pair you may want to take a look at their graph. At this point, you may give your partner helpful hints on how they may fix their graph or narrow the search by giving them a hint. Your hint may be an equation of another line that the treasure point lies on. Record all of the guesses it
takes your partner to find where your treasure point lies.

Answer 91

Will you help with this lalaly and be my partner so I can pass this class? lol Pweease.