Question

help

Answer 1

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

Answer 2

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

Answer 3

@jigglypuff314

Answer 4

multiply both sides by 2(x-3)

Answer 5

I suppose that should give you something like
2*(3) = 2*(x) - 3(x-3)

can you solve for x from there? :)

Answer 6

is x 3?

Answer 7

that's what I got! :D

Answer 8

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

Answer 9

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

Answer 10

give me a sec

Answer 11

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

Answer 12

yup! ^_^

Answer 13

thnx

Answer 14

can you help me with a couple more?

Answer 15

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.

Answer 16

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

Answer 17

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 ^_^

Answer 18

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

Answer 19

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

Answer 20

am i right>?

Answer 21

correct!

Answer 22

thnx i have more can you help?

Answer 23

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

Answer 24

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.

Answer 25

np thnx

Answer 26

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?

Answer 27

tbh idk

Answer 28

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

Answer 29

okay ill skip that one for now

Answer 30

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

Answer 31

i think its B

Answer 32

B? but B has 3 inside the root, why would we want that?

x^(5/7) = seventh root of x to the fifth power

Answer 33

so A

Answer 34

yessss :)

Answer 35

thnx

Answer 36

To which graph does the point (2, 4) belong?

y ≥ x + 3
y ≥ −x + 8
y ≥ 4x − 5
y ≥ −2x + 9

Answer 37

i think its C

Answer 38

That's right! Good Job!

Answer 39

thnx

Answer 40

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.

Answer 41

D? but not sure...

Answer 42

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

Answer 43

thnx

Answer 44

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

Answer 45

vertex = (h, k)

Answer 46

this one idk the answer to this one

Answer 47

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

Answer 48

oh okay give me a sec then

Answer 49

so -5

Answer 50

yep! :)

Answer 51

thnx

Answer 52

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

Answer 53

D

Answer 54

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

Answer 55

3/3 = 1

Answer 56

so 1

Answer 57

yep ^_^

Answer 58

o h ok thnx i would have go thtat one wrong

Answer 59

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

Answer 60

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

Answer 61

still trying to solve this so idk the answer yet

Answer 62

i got A

Answer 63

g(f(x)) = 5((5/6x + 5) + 6

and yes, that's what I got too

Answer 64

yay!

Answer 65

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

Answer 66

i think the answe is B

Answer 67

that's right! :D

Answer 68

yay

Answer 69

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

Answer 70

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

Answer 71

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

Answer 72

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

Answer 73

you can factor x^2 + 5x + 6

as well as 2x^2 + 7x + 3

Answer 74

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

Answer 75

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

Answer 76

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

Answer 77

not sure though ...

Answer 78

it is!

Answer 79

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

Answer 80

mhmmm ^_^

Answer 81

yay im so happy im actually learning this!

Answer 82

one more for now

Answer 83

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

Answer 84

tbh idk this one

Answer 85

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

Answer 86

so -2/2 -1?

Answer 87

-1

Answer 88

I think so ^_^

Answer 89

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!!

Answer 90

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

Answer 91

good night!