Aubree took a taxi from her house to the airport. The taxi company charged a pick-up

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

4 years ago

Eva reads 12 pages per hour. In all, how many hours reading will Eva have to do this week in order to have read a total of 48 pa

KiRa [710]

Since eva is a slow reader pacing at 12 pages an hour, she would have to read for 4 hours over the week in order to read 48 pages total.

12x4=48

8 0

3 years ago

Please help me with this. Thank you!

Rufina [12.5K]

Answer:

1- 51.496yd 2- 39.25ft 3- 163.28cm 4- 53.38mm 5- 50.24in 6-94.2ft 7-18.84yd 8- 207.24m

Step-by-step explanation:

So how you do circumference is you find the diameter and times it by pi.

for 1. you will do 8.2 times 2 for the diameter then times it by pi and get 51.496 yards.

for 2 you would do 12.5 times pi and get 39.25ft

for 3 you would do 26 times 2 which is 52 then multiply it by pi which is 163.28cm

for 4 you do 17 times pi which is 53.38mm

for 5 you do 16 times pi which is 50.24in

for 6 you do 30 times pi which is 94.2ft

for 7 you do 3 times 2 which is 6 then multiply by pi which is 18.84yd

for 8 you do 33 times 2 which is 66 then multiply by pi which is 207.24m.

6 0

3 years ago

Read 2 more answers

Pls does anyone know the answer I need it fast

ad-work [718]

Answer:

The first one is 120 and the second is 200

Step-by-step explanation:

The range value is the domain value times 40

4 0

3 years ago

Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account by the end of th

Neko [114]

Every week he withdraws $35 from the $950 in his savings, and he wants at least $600 by the end of the summer. So we could write:

$\sf 950-35x\ge 600$

Where 'x' is the number of weeks. Now let's solve it for 'x'.

Subtract 950 to both sides:

$\sf -35x\ge -350$

Divide -35 to both sides, don't forget to switch the sign when dividing/multiplying by a negative number:

$\sf x\le 10$

So he can only withdraw at money for at most 10 weeks if he wants at least $600 left in his account.

6 0

3 years ago