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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
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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.
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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
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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
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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
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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.
\[5\sqrt{x+7} = -10\]
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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
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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.
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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):
\((x^a)^b=x^{ab}\)
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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
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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?
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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
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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):
:)
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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
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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?
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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..
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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
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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)