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Mathematics 22 Online
OpenStudy (anonymous):

help please!!!!!

OpenStudy (anonymous):

Given the functions f(x) = -2x - 1 and g(x) = -3x + 4, which operation results in the smallest coefficient on the x term? Two operations result in the same coefficient Subtraction Multiplication Addition

OpenStudy (anonymous):

i think it's A but idk

OpenStudy (anonymous):

I think subtraction is correct. If you subtract f(x) by g(x), you will get y = x -5. And 1 is the smallest coefficient on the term of x

OpenStudy (anonymous):

oh thank you! i'm terrible at math lol. do you think you can help me out with some other ones?

OpenStudy (anonymous):

Of course. I am happy to

OpenStudy (anonymous):

alright thanks. i'll just tell you what i think the answer is and then i'll see what you say :)

OpenStudy (anonymous):

Simplify (3 + 2i)(7 − 5i). 21 − 10i2 11 − i 21 − i − 10i2 31 − i in this one i was thinking it's C. am i correct?

OpenStudy (anonymous):

I am sorry. What is between 7 and 5i?

OpenStudy (anonymous):

ohhh. it's subtraction. that would make it negative right?

OpenStudy (anonymous):

okay i misread that lol. i was thinking it's A.

OpenStudy (anonymous):

Are you learning about imaginary numbers?

OpenStudy (anonymous):

yeah i passed that part. it was kind of confusing tho

OpenStudy (anonymous):

It is simple. Just solve it step by step. So \((3+2i)(7-5i)=21-15i+14i-10i^2=21-10i^2-i\), right?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

idk how to solve that lol

OpenStudy (anonymous):

Do you notice that \(i^2=-1\)?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Then \(21-10i^2-i=21-10(-1)-i=...\)

OpenStudy (anonymous):

so \[-10i ^{2} \] would equal to -10 times -1?

OpenStudy (anonymous):

wait you typed that lol. sorry. okay i think the whole equation would equal to -11? or -11i. i have no idea

OpenStudy (anonymous):

Ok. \(21-10(-1)-i=31-i\)

OpenStudy (anonymous):

you change the subtraction to addition?

OpenStudy (anonymous):

Yes. Because \((-10)(-1)=10\), right?

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

so the answer would be D

OpenStudy (anonymous):

Right. \(31-i\)

OpenStudy (anonymous):

yay! thank you haha. i'm taking a quiz right now and most of the questions make no sense to me at all. you still able to help?

OpenStudy (anonymous):

Yes. I will do by best to help

OpenStudy (anonymous):

alright! :)

OpenStudy (anonymous):

Find the solution and determine if it is an extraneous solution. \[5\sqrt{x+7} = -10\]

OpenStudy (anonymous):

you there?

OpenStudy (anonymous):

Yeah. Sorry, I have been solving the problem

OpenStudy (anonymous):

oh, it's fine! lol

OpenStudy (anonymous):

Is it -10 or 10?

OpenStudy (anonymous):

I tried to solve this but cannot find a real solution

OpenStudy (anonymous):

it's -10

OpenStudy (anonymous):

Ok just to make sure. I will try again

OpenStudy (anonymous):

okayy :)

OpenStudy (anonymous):

Is "No solution" accepted? :)

OpenStudy (anonymous):

it doesn't have that as an option :( i'll just guess on this one.

OpenStudy (anonymous):

i need help with this other one.

OpenStudy (anonymous):

Ok. Hopefully I will be more helpful on this one

OpenStudy (anonymous):

simplify.

OpenStudy (anonymous):

OpenStudy (anonymous):

\((x^a)^b=x^{ab}\)

OpenStudy (anonymous):

wait what's ab equaled to?

OpenStudy (anonymous):

Numbers. They represents numbers (or variables)

OpenStudy (anonymous):

which numbers tho lol

OpenStudy (anonymous):

\((x^{\frac{2}{5}})^{\frac{5}{6}}\)=\(x^{\frac{2}{5}\times \frac {5}{6}}\)

OpenStudy (anonymous):

so do i just multiply straight across?

OpenStudy (anonymous):

Yes. That will be \(x^\frac{1}{3}\), right?

OpenStudy (anonymous):

yes. 1/3 would be simplified right?

OpenStudy (anonymous):

Right

OpenStudy (anonymous):

ohhh ok gotcha.

OpenStudy (anonymous):

i have another one.. lol

OpenStudy (anonymous):

Sure

OpenStudy (anonymous):

Which of the following expressions is the conjugate of a complex number with −6 as the real part and −5i as the imaginary part? 6 + 5i 6 − 5i −6 − 5i −6 + 5i

OpenStudy (anonymous):

Sorry, I can't see the question very well. Can you write the options

OpenStudy (anonymous):

A) 6 + 5i B) 6 - 5i C) -6 - 5i D) -6 + 5i

OpenStudy (anonymous):

And in the question, is it 6 or -6? 5i or -5i?

OpenStudy (anonymous):

-6 and -5i

OpenStudy (anonymous):

Oh then the answer is -6 and 5i

OpenStudy (anonymous):

would it be subtraction or addition?

OpenStudy (anonymous):

Addition

OpenStudy (anonymous):

-6 +5i

OpenStudy (anonymous):

thank you! i have another one lmao

OpenStudy (anonymous):

Given the functions j(x) = x2 + 3 and k(x) = x2 - x + 4, which operation results in a 2nd degree polynomial? Addition Subtraction Multiplication No operations i was thinking addition but i'm probably wrong..

OpenStudy (anonymous):

Addition

OpenStudy (anonymous):

yay i'm finally right on one hahah

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

the next one is a word problem

OpenStudy (anonymous):

Bob and Susie wash cars for extra money over the summer. Bob's income is determined by f(x) = 6x + 13, where x is the number of hours. Susie's income is g(x) = 4x + 18. If Bob and Susie were to combine their efforts, their income would be h(x) = f(x) + g(x) and would be split evenly between the two of them. Assume Bob works 3 hours. Create the function h(x), and indicate if Bob will make more money working alone or by teaming with Susie. h(x) = 2x + 5, work alone h(x) = 2x + 5, team with Susie h(x) = 10x + 31, work alone h(x) = 10x + 31, team with Susie

OpenStudy (anonymous):

Sorry. I don't know how to solve this one

OpenStudy (anonymous):

it's fine lol. what about a different one?

OpenStudy (anonymous):

Sure. I will do my best

OpenStudy (anonymous):

Simplify (x - 1)(x2+ 5x + 2). x3+ 6x2+ 7x - 2 x3+ 4x2- 3x - 2 x3− x2+ 2x− 2 x3+ 5x2- 6x - 2

OpenStudy (anonymous):

\((x-1)(x^2+5x+2)=x^3+5x^2+2x-x^2-5x-2=x^3+4x^2-3x-2\)

OpenStudy (anonymous):

i wish i was as good as you in math lol

OpenStudy (anonymous):

Just practice a little everyday

OpenStudy (anonymous):

Thanks :)

OpenStudy (anonymous):

haha you're welcome. i need help with another one

OpenStudy (anonymous):

Sure

OpenStudy (anonymous):

Which of the following represents the area of a rectangle whose length is x + 4 and whose width is x - 9? x2- 36 x2+ 5x - 36 x2- 5x - 36 x2+ 36x - 5 i'm sorry if i'm asking too much

OpenStudy (anonymous):

You are good. Just express \((x+4)(x-9)=x^2-9x+4x-36\)

OpenStudy (anonymous):

am i supposed to add -9 with 4 since they are like terms?

OpenStudy (anonymous):

Exactly

OpenStudy (anonymous):

sooo that would give me -5

OpenStudy (anonymous):

so it's C!

OpenStudy (anonymous):

Right.

OpenStudy (anonymous):

yesss haha. i have just 3 more questions..

OpenStudy (anonymous):

Ok

OpenStudy (anonymous):

Identify all of the following solutions of

OpenStudy (anonymous):

OpenStudy (anonymous):

Sorry. I will be back

OpenStudy (anonymous):

Some stuff to do

OpenStudy (anonymous):

alright. that's fine lol

OpenStudy (anonymous):

\(\sqrt{x+14}=x-2\) <=> \(x+14=(x-2)^2\) <=> \(x+14=x^2-4x+4\) \(x^2-5x-10=0\). Solve for x: \(x=\frac{5+\sqrt{65}}{2}\) or \(x=\frac{5-\sqrt{65}}{2}\) (extraneous)

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