help

- anonymous

help

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- anonymous

Solve 3 over x minus 3 equals the quantity of x over x minus 3, minus three-halves for x and determine if the solution is extraneous or not.
x = 3, non-extraneous
x = 3, extraneous
x = -3, extraneous
x = -3, non-extraneous

- anonymous

\[\frac{ 3 }{ x - 3 } = \frac{ x }{ x -3 } - \frac{ 3 }{ 2 }\]
@Nnesha @timo86m

- anonymous

@jigglypuff314

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## More answers

- jigglypuff314

multiply both sides by 2(x-3)

- jigglypuff314

I suppose that should give you something like
2*(3) = 2*(x) - 3(x-3)
can you solve for x from there? :)

- anonymous

is x 3?

- jigglypuff314

that's what I got! :D

- jigglypuff314

oh wait
now we have to see if it is extraneous or non

- jigglypuff314

try plugging it back into the original stufff
if there's problems with it -> extraneous
if it comes out to be true (like 3=3) then -> non extraneous

- anonymous

give me a sec

- anonymous

wait sorry it wasn't loading bc of the wifi but its extraneous

- jigglypuff314

yup! ^_^

- anonymous

thnx

- anonymous

can you help me with a couple more?

- anonymous

Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?
f−1(x) = The quantity of 3 minus 5x, divided by 4
f−1(x) = The quantity of 4x plus 3, divided by 5
f−1(x) = The quantity of 4x minus 3, divided by 5.
f−1(x) = The quantity of negative 5x minus 3, divided by 4.

- anonymous

\[f(x)= \frac{ 5x - 3 }{ 4 }\]

- jigglypuff314

to get the inverse of a function, you flop the x and y and solve for the new y
\[x = \frac{ 5y - 3 }{ 4 }\]now try to get y alone ^_^

- anonymous

so \[x +3 = \frac{ 5y }{ 4 }\]

- anonymous

\[f ^{-1}(x) = \frac{ 4x + 3 }{ 5 }\]

- anonymous

am i right>?

- jigglypuff314

correct!

- anonymous

thnx i have more can you help?

- jigglypuff314

sure, although I might take a little time to answer (multi tasking atm) ^_^

- anonymous

Below are two different functions, f(x) and g(x). What can be determined about their slopes?
f(x)= −1x + 1 The function g of x going through 0, 3 and 2, negative 1
The function f(x) has a larger slope.
The function g(x) has a larger slope.
They both have the same slope.
The relationship between slopes cannot be determined.

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- anonymous

np thnx

- jigglypuff314

ew the wording of this is weird
do they mean larger as in slope of -2 is greater than slope of -1 because it is steeper?
or do they mean larger as in -1 is greater than -2 because it is?

- anonymous

tbh idk

- jigglypuff314

I suggest you open another question to ask this someone else
deciphering this weirdly phrased english confuses me every time and I would feel bad if I gave you a wrong answer :3

- anonymous

okay ill skip that one for now

- anonymous

Which of the following represents \[3x ^{5/7}\] in radical form?
3 times seventh root of x to the fifth power
seventh root of 3 x to the fifth power
3 times fifth root of x to the seventh power
fifth root of 3 x to the seventh power

- anonymous

i think its B

- jigglypuff314

B? but B has 3 inside the root, why would we want that?
x^(5/7) = seventh root of x to the fifth power

- anonymous

so A

- jigglypuff314

yessss :)

- anonymous

thnx

- anonymous

To which graph does the point (2, 4) belong?
y ≥ x + 3
y ≥ −x + 8
y ≥ 4x − 5
y ≥ −2x + 9

- anonymous

i think its C

- jigglypuff314

That's right! Good Job!

- anonymous

thnx

- anonymous

A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain?
The domain would only include integers.
The domain would only include positive integers.
The domain would include all real numbers.
The domain would only include positive numbers.

- anonymous

D? but not sure...

- jigglypuff314

I believe that would be the best answer ^_^ You're doing great!

- anonymous

thnx

- anonymous

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:
a parabola with a vertex of negative 5, negative 2
What is the value of h?
2
−5
−2
5

- jigglypuff314

vertex = (h, k)

- anonymous

##### 1 Attachment

- anonymous

this one idk the answer to this one

- jigglypuff314

well if the vertex = (h , k)
and they told you that vertex = (-5, -2)

- anonymous

oh okay give me a sec then

- anonymous

so -5

- jigglypuff314

yep! :)

- anonymous

thnx

- anonymous

Use the table of the function f(x) = x4 - 4x to answer this question:
x f(x)
-2 24
-1 5
0 0
1 -3
2 8
What is the average rate of change from x = -1 to x = 2?
-3
-1
1
3

- anonymous

D

- jigglypuff314

"average rate of change" is just their complicated way of saying "find the slope" between (-1, 5) and (2, 8)

- anonymous

3/3 = 1

- anonymous

so 1

- jigglypuff314

yep ^_^

- anonymous

o h ok thnx i would have go thtat one wrong

- anonymous

The function for the cost of materials to make a shirt is f(x) = 5/6x + 5, where x is the number of shirts. The function for the selling price of those shirts is g(f(x)), where g(x) = 5x + 6. Find the selling price of 18 shirts.
106
120
185
196

- jigglypuff314

5((5/6)*(18) +5) + 6

- anonymous

still trying to solve this so idk the answer yet

- anonymous

i got A

- jigglypuff314

g(f(x)) = 5((5/6x + 5) + 6
and yes, that's what I got too

- anonymous

yay!

- anonymous

George and Bella are asked to solve −3x − 30 = 5x + 18. Identify where one of them made an error.
George
− 3x − 30 = 5x + 18
− 3x − 30 − 5x = 5x + 18 −5x
−8x − 30 = 18
− 8x − 30 + 30 = 18 + 30
−8x = 48
Negative 8x over negative 8 equals 48 over negative 8
Bella
x = − 6
− 3x − 30 = 5x + 18
−3x − 30 − 3x = 5x + 18 − 3x
− 30 = 2x + 18
−30 − 18 = 2x + 18 −18
− 48= 2x
Negative 48 over 2 equals 2x over 2
x=−24
Bella made the error when she subtracted 18
Bella made the error when she subtracted 3x
George made the error when he subtracted 5x
George made the error when he divided by −8

- anonymous

i think the answe is B

- jigglypuff314

that's right! :D

- anonymous

yay

- anonymous

What is the simplified form of the quantity x squared plus 5x plus 6 over 15 x y squared all over the quantity 2x squared plus 7x plus 3 over 5 x squared y ?
3y times the quantity 2x plus 1 over x times the quantity x plus 2
x times the quantity x plus 2 over 3y times the quantity 2x plus 1
x times the quantity x minus 2 over 3y times the quantity 2x minus 1
3y times the quantity 2x minus 1 over x times the quantity x minus 2

- anonymous

\[\frac{ \frac{ x^2 + 5x + 6 }{ 15xy^2 } }{ \frac{ 2x^2 + 7x + 3 }{ 5x^2y } }\]

- anonymous

in case you think the one above is too small to read

##### 1 Attachment

- jigglypuff314

good! now the big fraction line can be interpreted as a division sign
and dividing is just multiplying by the flipped so
x^2 + 5x +6 5 x^2 y
----------- * --------------
15 x y^2 2x^2 + 7x + 3

- jigglypuff314

you can factor x^2 + 5x + 6
as well as 2x^2 + 7x + 3

- anonymous

yeah will is be (x + 3) (x + 2) and (x + 3) (2x + 1) and since we have both of (X + 3) would it be \[\frac{ x + 2 }{ 15xy^2 } \times \frac{ 5x^2y }{ 2x +1 }\]

- jigglypuff314

great!
then try canceling stuff in the 5 x^2 y / 15 x y^2 :)

- anonymous

would it be \[\frac{ x + 2 }{ 3y } \times \frac{ x }{ 2x + 1 }\]

- anonymous

not sure though ...

- jigglypuff314

it is!

- anonymous

yay so would it make it \[\frac{ x(x+2) }{ 3y(2x +1) }\]

- jigglypuff314

mhmmm ^_^

- anonymous

yay im so happy im actually learning this!

- anonymous

one more for now

- anonymous

Use the graph below for this question:
graph of parabola going through negative 1, 7 and negative 3, 9.
What is the average rate of change from x = −1 to x = −3?
5
−3
1
−1

##### 1 Attachment

- anonymous

tbh idk this one

- jigglypuff314

slope between the points (-1, 7) and (-3, 9) basically :P

- anonymous

so -2/2 -1?

- anonymous

-1

- jigglypuff314

I think so ^_^

- anonymous

okay well thank you so much! thats it for now then i got to do more homework in like 30 minutes but im gonna post the one that you didn't know the answer to and then take a break THANK YOU!!

- jigglypuff314

glad I could help ^_^
hopefully someone will be able to help you with that one :3
I'm going to sleep, good night :)

- anonymous

good night!

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