Question

What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4 ?

1 over the quantity x plus 3 times the quantity x plus 4
1 over the quantity x plus 3 times the quantity x minus 2
1 over the quantity x plus 4 times the quantity x minus 2
1 over the quantity x plus 3 times the quantity x plus 1

Answer 1

@satellite73

Answer 2

\[\frac{ x + 1 }{ x^2 + x -6 } \div \frac{ x^2 + 5x + 4 }{ x + 4 }\]

@satellite73

Answer 3

@satellite73

Answer 4

http://www.wolframalpha.com/input/?i=%28x%2B1%29%2F%28x^2%2Bx-6%29*%28x%2B4%29%2F%28x^2%2B5x%2B4%29

Answer 5

you go that right?

Answer 6

nice use of the equation tool btw

Answer 7

i can show you another trick in using wolfram

Answer 8

okay and heres the question

Answer 9

simplify (12z^2 - 25z + 12)/ (3z^2 + 2z - 8)

Answer 10

using the link i got (4z - 3)/(x + 2)

Answer 11

ok i so take what you wrote, copy and paste it directly in to wolfram

Answer 12

yeah i did that and got (4z - 3)/(x + 2)

Answer 13

yeah i get that too, but of course with a z

Answer 14

i could also show you how to do it without wolfram, it is "factor and cancel"

Answer 15

oh yeah typo lol sorry okay i think it'll be better without wolframe alpha in case my teacher asks

Answer 16

ok then here is the deal
do you know how to factor?

Answer 17

sometimes but not really it'll be helpful if you showed me though

Answer 18

i don't actually, believe it or not if i wanted to factor i would cheat

Answer 19

what i mean is that i have no good way to show you how

Answer 20

i usually use a site for factoring

Answer 21

that works, of course wolfram will do that too

Answer 22

so in case the teacher asks, you can say something like this ;

Answer 23

\[ (12z^2 - 25z + 12)=(4 z-3) (3 z-4)\] and
\[(3z^2 + 2z - 8)=
(3 z-4) (z+2)\]

Answer 24

so
\[\frac{12z^2+25z+12}{3z^2+2z-8}=\frac{4z-3)(3z-4)}{(3z-4)(z+2)}\]

Answer 25

oh and then you cross out (3z - 4)?

Answer 26

there is a common factor top and bottom of \(3z-4\) which cancels, you get
\[\frac{(4z-3)(3z-4)}{(3z-4)(z+2)}=\frac{4z-3}{z+2}\]

Answer 27

exactly what you said

Answer 28

that is the idea of all of these
factor and cancel

Answer 29

okay cool i get it now

Answer 30

as to how to factor, you are pretty much on your own, but you can use wolfram to do it for sure

Answer 31

okay thnx

Answer 32

and you can use wolfram to give the final answer too, but once you have it factored it is easy to cancel

Answer 33

ill also ask someone else on os

Answer 34

want to try another one ?

Answer 35

yeah

Answer 36

ok i get a cup of coffee, you post

Answer 37

ok What polynomial identity should be used to prove that 21 = 25 - 4?

Answer 38

wow do you have any choices? \(21=25-4\) is simple arithmetic

Answer 39

What polynomial identity should be used to prove that 21 = 25 - 4?

Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes

Answer 40

ooh ok

Answer 41

25 and 4 are two squares

Answer 42

then B?

Answer 43

\[25=5^2\] and \[2^2\] so yeah B

Answer 44

what a dumb retricequestion
next?

Answer 45

thnx

Answer 46

given the parent function of f(x) = x3, what change will occur when the function is changed to f(x - 3)?

Shift to the right 3 units
Shift to the left 3 units
Shift up 3 units
Shift down 3 units

Answer 47

when you subtract inside the function it move is 3 units to the RIGHT

Answer 48

thnx

Answer 49

ased on the table of values below, find the slope between points where x = 1 and where x = 4.


x y
1 8
3 6
4 −1

Answer 50

what is the corresponding y value when x = 1?

Answer 51

ok ok

Answer 52

8

Answer 53

\[\frac{-1-8}{4-1}\] is whatyou have to compuote

Answer 54

i get
\[\frac{-9}{3}=-3\]

Answer 55

thnx

Answer 56

yw

Answer 57

how many more?

Answer 58

a couple

Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part?

2 + 3i
2 − 3i
3i + 2
3i − 2

Answer 59

the conjugate of \(a+bi\) is \(a-bi\)

Answer 60

so b?

Answer 61

the conjugate of \(2+3i\) is \(2-3i\) that was an easy one

Answer 62

yeah b

Answer 63

okay thnx

Answer 64

yw next?

Answer 65

Two car washers, Michelle and Nancy, are working on your car. Michelle can complete the work in 6 hours, while Nancy can complete the work in 3 hours. How many hours does the car washing take if they work together?

3
2
six eighths
four thirds

Answer 66

we go right to the answer (otherwise it take like forever) but remember this simple trick
\[\frac{6\times 3}{6+3}\]

Answer 67

got that ?

Answer 68

so 18/9 = 2

Answer 69

yes

Answer 70

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). 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, team with Susie
h(x) = 10x + 31, work alone

Answer 71

see the trick? it is easy

Answer 72

yup

Answer 73

\[g(x) = 4x + 18\]
\[h(x)=6x+13\]
\[g(x)+h(x)=4x+18+6x+13\]

Answer 74

combine like terms,what do you get?

Answer 75

10x + 31

Answer 76

ok good so C or D

Answer 77

yup but i think its with team work so C?

Answer 78

not sure
if bob works 3 hours alone he makes
\[f(3)=6\times 3+13=18+13=31\]

Answer 79

oh so D

Answer 80

don't jump the gun

Answer 81

if they both work 3 hours they make a total of
\pg(3)=10\times 3+31=61\]

Answer 82

oh

Answer 83

\[h(3)=10\times 3+31=61\]\]

Answer 84

if he has to split it, then yes he is better off working alone

Answer 85

so is its C then?

Answer 86

i think D
not really clear, but i think D

Answer 87

ok

Answer 88

next?

Answer 89

What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4?

Answer 90

this takes a second

Answer 91

k

Answer 92

half way between 6 and 4 is 5, so the vertex is \((3,5)\)

Answer 93

therefore it will look like
\[4p(y-5)=(x-3)^2\] we need \(p\)

Answer 94

the distance between 4 and 5 is 1, so p = 1 and one answer is
\[4(y-5)=(x-3)^2\]
now sure what your answer choices look like

Answer 95

f(x) = one fourth (x − 3)2 + 1
f(x) = one fourth (x − 3)2 + 5
f(x) = −one fourth (x − 2)2 + 5
f(x) = −one fourth (x − 2)2

Answer 96

\[4(y-5)=(x-3)^2\\
y-5=\frac{1}{4}(x-3)^2\\
y=\frac{1}{4}(x-3)^2+5\]

Answer 97

thnx

Which of the following is a solution of x2 + 2x + 8?

4 + i times the square root of 7
−1 + i times the square root of 7
2 + i times the square root of 7
−4 + i times the square root of 7