anonymous
  • anonymous
help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • 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
  • anonymous
\[\frac{ 3 }{ x - 3 } = \frac{ x }{ x -3 } - \frac{ 3 }{ 2 }\] @Nnesha @timo86m
anonymous
  • anonymous
@jigglypuff314

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jigglypuff314
  • jigglypuff314
multiply both sides by 2(x-3)
jigglypuff314
  • jigglypuff314
I suppose that should give you something like 2*(3) = 2*(x) - 3(x-3) can you solve for x from there? :)
anonymous
  • anonymous
is x 3?
jigglypuff314
  • jigglypuff314
that's what I got! :D
jigglypuff314
  • jigglypuff314
oh wait now we have to see if it is extraneous or non
jigglypuff314
  • 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
  • anonymous
give me a sec
anonymous
  • anonymous
wait sorry it wasn't loading bc of the wifi but its extraneous
jigglypuff314
  • jigglypuff314
yup! ^_^
anonymous
  • anonymous
thnx
anonymous
  • anonymous
can you help me with a couple more?
anonymous
  • 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
  • anonymous
\[f(x)= \frac{ 5x - 3 }{ 4 }\]
jigglypuff314
  • 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
  • anonymous
so \[x +3 = \frac{ 5y }{ 4 }\]
anonymous
  • anonymous
\[f ^{-1}(x) = \frac{ 4x + 3 }{ 5 }\]
anonymous
  • anonymous
am i right>?
jigglypuff314
  • jigglypuff314
correct!
anonymous
  • anonymous
thnx i have more can you help?
jigglypuff314
  • jigglypuff314
sure, although I might take a little time to answer (multi tasking atm) ^_^
anonymous
  • 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
  • anonymous
np thnx
jigglypuff314
  • 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
  • anonymous
tbh idk
jigglypuff314
  • 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
  • anonymous
okay ill skip that one for now
anonymous
  • 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
  • anonymous
i think its B
jigglypuff314
  • 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
  • anonymous
so A
jigglypuff314
  • jigglypuff314
yessss :)
anonymous
  • anonymous
thnx
anonymous
  • anonymous
To which graph does the point (2, 4) belong? y ≥ x + 3 y ≥ −x + 8 y ≥ 4x − 5 y ≥ −2x + 9
anonymous
  • anonymous
i think its C
jigglypuff314
  • jigglypuff314
That's right! Good Job!
anonymous
  • anonymous
thnx
anonymous
  • 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
  • anonymous
D? but not sure...
jigglypuff314
  • jigglypuff314
I believe that would be the best answer ^_^ You're doing great!
anonymous
  • anonymous
thnx
anonymous
  • 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
  • jigglypuff314
vertex = (h, k)
anonymous
  • anonymous
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anonymous
  • anonymous
this one idk the answer to this one
jigglypuff314
  • jigglypuff314
well if the vertex = (h , k) and they told you that vertex = (-5, -2)
anonymous
  • anonymous
oh okay give me a sec then
anonymous
  • anonymous
so -5
jigglypuff314
  • jigglypuff314
yep! :)
anonymous
  • anonymous
thnx
anonymous
  • 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
  • anonymous
D
jigglypuff314
  • jigglypuff314
"average rate of change" is just their complicated way of saying "find the slope" between (-1, 5) and (2, 8)
anonymous
  • anonymous
3/3 = 1
anonymous
  • anonymous
so 1
jigglypuff314
  • jigglypuff314
yep ^_^
anonymous
  • anonymous
o h ok thnx i would have go thtat one wrong
anonymous
  • 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
  • jigglypuff314
5((5/6)*(18) +5) + 6
anonymous
  • anonymous
still trying to solve this so idk the answer yet
anonymous
  • anonymous
i got A
jigglypuff314
  • jigglypuff314
g(f(x)) = 5((5/6x + 5) + 6 and yes, that's what I got too
anonymous
  • anonymous
yay!
anonymous
  • 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
  • anonymous
i think the answe is B
jigglypuff314
  • jigglypuff314
that's right! :D
anonymous
  • anonymous
yay
anonymous
  • 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
  • anonymous
\[\frac{ \frac{ x^2 + 5x + 6 }{ 15xy^2 } }{ \frac{ 2x^2 + 7x + 3 }{ 5x^2y } }\]
anonymous
  • anonymous
in case you think the one above is too small to read
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jigglypuff314
  • 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
  • jigglypuff314
you can factor x^2 + 5x + 6 as well as 2x^2 + 7x + 3
anonymous
  • 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
  • jigglypuff314
great! then try canceling stuff in the 5 x^2 y / 15 x y^2 :)
anonymous
  • anonymous
would it be \[\frac{ x + 2 }{ 3y } \times \frac{ x }{ 2x + 1 }\]
anonymous
  • anonymous
not sure though ...
jigglypuff314
  • jigglypuff314
it is!
anonymous
  • anonymous
yay so would it make it \[\frac{ x(x+2) }{ 3y(2x +1) }\]
jigglypuff314
  • jigglypuff314
mhmmm ^_^
anonymous
  • anonymous
yay im so happy im actually learning this!
anonymous
  • anonymous
one more for now
anonymous
  • 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
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anonymous
  • anonymous
tbh idk this one
jigglypuff314
  • jigglypuff314
slope between the points (-1, 7) and (-3, 9) basically :P
anonymous
  • anonymous
so -2/2 -1?
anonymous
  • anonymous
-1
jigglypuff314
  • jigglypuff314
I think so ^_^
anonymous
  • 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
  • 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
  • anonymous
good night!

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