Question

i will fan & give a medal if you can help me!

Answer 1

divide by 3 first on both the side

Answer 2

okay. i did that. i got square root x + 6 = -4

Answer 3

yes now if you square both the sides and solve for x you will the value for x .
Now do you know how to tell if it is a extraneous solution?

Answer 4

\[3\sqrt{x+6}=-12\]

Divide both side by 3

\[\sqrt{x+6}=-4\]

Squaring both sides

\[(\sqrt{x+6})^2=(-4)^2\]

\[x+6=16\]

Subtract both side by 6

\[x+6-6=16-6\]

\[x=10\]

Answer 5

@kendallnicole you can learn about extraneous from here http://www.mathwords.com/e/extraneous_solution.htm

Answer 6

thnx :) is ten extreneous?

Answer 7

Correct

Answer 8

thanks for your help! :))

Answer 9

Anytime.

Answer 10

could you help me with another?

Answer 11

Braxton and Maggie babysit children for extra money over the summer. Braxton's income is determined by f(x) = 9x + 10, where x is the number of hours. Maggie's income is g(x) = 6x + 15. If Braxton and Maggie were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Braxton works 5 hours. Create the function h(x) and indicate if Braxton will make more money working alone or by teaming with Maggie.

h(x) = 15x + 25, work alone

h(x) = 3x + 5, work alone

h(x) = 3x + 5, team with Maggie

h(x) = 15x + 25, team with Maggie

Answer 12

@Nurali

Answer 13

can you write down expression for h(x) ?

Answer 14

idk it:/

Answer 15

k np :)
h(x) = f(x) + g(x)
now we know f(x) = 9x +10 and g(x) = 6x + 15
put respective values for f(x) and g(x) you will get the expression for h(x)

Answer 16

okay, thank you!

Answer 17

but did you get your answer?
It has two parts to it

Answer 18

is it 3x + 5 ?!

Answer 19

NO put h(x) = 9x+10 + 6x+15 can you solve from here?

Answer 20

h(x) = 15x + 25, team with Maggie

Answer 21

?!

Answer 22

Yes h(x) is correct but why will he will team up with Maggie?

Answer 23

i dont know, i guessed aha

Answer 24

aha and I Caught you :) you just want the answer or solution

Answer 25

well i think if he teams up with maggie he'd get more money? im not sure

Answer 26

In the question it say Braxton works for 5 hours so we can calculate money he earns working alone f(5)
now money earned working together is h(5). It is not mentioned in the question but to solve we can assume that they will divide money in equal parts so braxton will earn h(5)/2 now solve and get the answer!

Answer 27

so he still makes more money being with the girl right?

Answer 28

Being with the girl has advantages but I guess not in this case :)

Answer 29

f(5) = 55 and h(5)=100

Answer 30

so if hes alone? he makes more?

Answer 31

f(5) = 55 and h(5)/2 = 50
55 > 50 now your call :P

Answer 32

working alone?

Answer 33

Yes...partnering here is not profitable

Answer 34

THANK YOUU SO MUCH.

Answer 35

YOU ARE WELCOME!!

Answer 36

\[x ^{\frac{ 2 }{ 5 }}*x ^{\frac{ 2 }{ 9 }}\]

\[x ^{\frac{ 2 }{ 5 }+\frac{ 2 }{ 9 }}\]

\[x ^{\frac{ 2*9+2*5 }{ 5*9 }}\]

\[x ^{\frac{ 28 }{ 45 }}\]

Answer 37

Last one is correct.