Question

someone help with algebra one please? fan and medal?(=

Answer 1

@ranga

Answer 2

anybody really?

Answer 3

Task 2

Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model.

a√x+b+c=d

Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation.

Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.

Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answer 4

the square root sign only goes over the a+b

Answer 5

@11calcBC

Answer 6

Anybody please???

Answer 7

@happinessbreaksbones @hailey_092112 @rociob sorry for tagging random people but i really need help

Answer 8

i meant that the square root sign goes over the x+b

Answer 9

@AccessDenied @Ashleyisakitty

Answer 10

@math&ing001

Answer 11

@math&ing001

Answer 12

@UnkleRhaukus

Answer 13

Example of an equation that has an extraneous solution : \[2 + \sqrt{x+4}=x\] Resolution :
√(x+4)=x-2 => [√(x+4)]² = (x-2)² => x+4 = x²-4x+4 => x²-5x=0 => x=0 or x=5
But if you check you'll find that x=0 is an extraneous solution.

Answer 14

okay so what would be an equation similar with no extraneous solution??

Answer 15

still there?

Answer 16

Yeah, just thinking of one.

Answer 17

okay thank you for helping me

Answer 18

For example : √(3x-2)=x
You'll find that x=1 and x=2 are both solutions ( no extraneous solution ).

Answer 19

okay cool. what about part c?

Answer 20

how do i explain it?

Answer 21

Extraneous solutions occur when you square both sides of an equation or when you multiply both sides of an equation by an expression containing a variable.

Answer 22

but didnt we do the same thing in the equation that had no extraneous solutions?

Answer 23

hello?

Answer 24

I can't really find what would be the difference between the 2...

Answer 25

hmm okay well thank you! can you help me with another question? i have part a and b i just need help with part c?

Answer 26

Sure !

Answer 27

Task 3

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.

Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation.

Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.

Answer 28

i just need part 3. this is the scenarios i wrote. did i do this problem right?

Task 3
part 1: Jasmine practices the piano for 15 minutes on Monday. Every day she increases her practice time by 5 minutes.
function- An= 15+(n-1)5
on the 7th day- A7=15+(6)5
A7=45 minutes
part 2: Anthony goes to the gym for 50 minutes on monday. Every day he decreases his gym time by 10 minutes.
function- An=50(.6)^n-1
on the 5th day- A5=50(.6)^4
A5=6.48
part 3: IF anthony goes to the gym for 50 minutes on monday and decreases his gym time by ten minutes each day, w

Answer 29

For part 2 I think you decrease the time by a ratio not minutes.

Answer 30

oh okay is that because its geometric?

Answer 31

Yep !

Answer 32

so what ratio do you think i should use?

Answer 33

You can choose, whatever suits you ;)

Answer 34

so would my new thing say Anthony goes tot he gym for 50 minutes on monday and decreases his gym time by ...??

Answer 35

would it be decreases or increases??

Answer 36

You can choose to increase or decrease, it all depends on the ratio. If it's between 0 and 1 then it decreases, if it's superior to 1 then the time increases.

Answer 37

could you tell me what ratio to choose??

Answer 38

You can choose to increase it by a ratio of 2. Then An=50*2^(n-1)

Answer 39

so anthony goes to the gym for 50 minutes on monday. he increases his gym time by a ratio of two. ? does that sound correct?

Answer 40

Yeah, but that's just my suggestion you can pick any ratio you want.

Answer 41

so if i was solving using that function you gave for the 5th day what would i get???

Answer 42

an=50(2)^4..?

Answer 43

n=5

Answer 44

Yep !

Answer 45

so 100^4? ...dang this guy apperantly is a workout freak haha

Answer 46

Haha but not quite it would be 50 *2^4=50*16

Answer 47

so the fifth day he will workout for 800 hours?

Answer 48

Yeah, god that's a lot... I don't think he'll survive

Answer 49

lol! so how about part 3??

Answer 50

Btw it's 800 minutes not hours... I just noticed :p

Answer 51

What's part 3 about ?

Answer 52

Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.

Answer 53

Try to sum up his workout time during the hole week.

Answer 54

do i use this formulaSn=
a1−a1rn
1−r

Answer 55

I can't see it..

Answer 56

okay i think i figured it out(= thank you so much!!

Answer 57

if i have some more questions later can i ask and tag you??

Answer 58

Welcome :3

Answer 59

Yeah sure !

Answer 60

thank you!!

Answer 61

can you show me the work you did in the first problem i asked you to help me with when you solved the extraneous solution equation we made?

Answer 62

Yeah I gave the work above.

Answer 63

√(x+4)=x-2 => [√(x+4)]² = (x-2)² => x+4 = x²-4x+4 => x²-5x=0 => x=0 or x=5

Answer 64

well you said that you squared both sides. when you squared both sides did you get x+8=x^2

Answer 65

Nope I got x+4 = x²-4x+4 look above.

Answer 66

oh u subtracted 2 first

Answer 67

Yep !

Answer 68

okay thanks!

Answer 69

Anytime !

Answer 70

once you subtracted the x+4 what did you get

Answer 71

You get x²-5x=0 then you factor with x and you get x(x-5)=0 which gives you x=0 or x=5.
All clear now ? :)

Answer 72

just one more question. to check for extraneous which one do you plug the x values back into?

Answer 73

The very first equation.

Answer 74

2+√(x+4)=x

Answer 75

once i plugged in zero would i get 2=0

Answer 76

You'd get 4=0.

Answer 77

dod you have any idea how to do part 3 of the last question i asked?? im stuck

Answer 78

Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.

Answer 79

@math&ing001

Answer 80

I do and I thought I told about it :3
A question that will lead to using the geometric series formula would be to sum up his workout time during the hole week for example.

Answer 81

so what would i do?

Answer 82

Use the formula for geometric series Sn=50+50*2^1+50*2^2+........+50*2^n
In our case for a week of training n=7.

Answer 83

so what would the equation look like once i plug in 7 for n

Answer 84

Can you figure it out ?

Answer 85

would it be sn=50+50(2)^.... and thats where im confused

Answer 86

S_7=50 + 50*2^1 + 50*2^2 + 50*2^3 +...+ 50*2^6

Answer 87

but solving for sn is the geometric series sum formula i thought

Answer 88

Yes Sn when n=7 is S_7.

Answer 89

but this is the geomtric series sum formula

Answer 90

@iambatman could you help me with the last part of my question? the person who was helping me logged off

Answer 91

please help :/ @iambatman

Answer 92

i just need help using the geometric series formula for this problem that i have @iambatmanIf anthony goes to the gym for 50 minutes on monday. Each day he doubles his gym time by a ratio of two.

Answer 93

@iambatman

Answer 94

@RadEn @mathman123

Answer 95

ugh someone please just help

Answer 96

i just need to to know how to use the geometric series formula for this problem ... If anthony goes to the gym for 50 minutes on monday. Each day he doubles his gym time by a ratio of two.