What is the (y) to this equation -5x+2y=13<br> 5x+y=-1

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

3 years ago

im offering 100 points for this. Using the GCF you found in Part B, rewrite 56 + 96 as two factors. One factor is the GCF and th

Dennis_Churaev [7]

Answer:

Step-by-step explanation: First right 56 + 96 in factor forms while one factor is the GCF and other is a sum of two numbers they do not have a common factor that all you gotta do right 56 + 96 in factor forms and follow the rest

7 0

2 years ago

Read 2 more answers

John is 48 years old. He is planning on retireing when he is 65. He has opened an IRA with an APR of 3.5% compounded daily. If h

alex41 [277]

The amount of money that John would have in his account when he is ready to retire is $6,351,400.21.

<h3>How much would be in the retirement account?</h3>

The formula that can be used to determine the future value of the annuity is

Future value = Daily deposit x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = 3.5 / 365 = 0.0096%
n = (65 - 48) x 365 = 6205

Annuity factor = [(1.000096^6205) - 1] / 0.000096 = $8468.53

Future value = 750 x $8468.53 = $6,351,400.21

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

3 0

2 years ago

Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On

JulijaS [17]

Given:

She is required to read a total = $10\dfrac{5}{6}$ hours a week.

Monday she read $1\dfrac{1}{3}$ hours.

Tuesday she read $\dfrac{3}{4}$ of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = $10\dfrac{5}{6}$ hours a week.

Total time she already read $=1\dfrac{1}{3}+\dfrac{3}{4}+3$ hours

$=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3$ hours

$=\dfrac{4}{3}+\dfrac{3}{4}+3$ hours

$=\dfrac{16+9+36}{12}$ hours

$=\dfrac{61}{12}$ hours

Now,

Remaining time = Total time - Total time she already read

$=10\dfrac{5}{6}-\dfrac{61}{12}$

$=\dfrac{65}{6}-\dfrac{61}{12}$

$=\dfrac{130-61}{12}$

$=\dfrac{69}{12}$

$=\dfrac{23}{4}$

$=5\dfrac{3}{4}$

Therefore, the required time is $5\dfrac{3}{4}$ hours.

8 0

3 years ago

Find the perimeter and the area of jacobs pool shown in the diagram below be sure to show all your work

Ksenya-84 [330]

Answer: Perimeter- 88m Area- 207sqm

Step-by-step explanation: To find the perimeter, you have to sort of split the shape into simple boxes. To find the line at the bottom, you have to add 18+11 because you can see that they match the line in the bottom. 18+11=29. You then have to find the P of the left. With the same method, you do 6+9, which equals 15. You add all of the sides together to get 88m. To find Area, you split the boxes into 2 smaller boxes. you then do 18x6 to get 108 for the top box. And 11x9 which equals 99. You add them together to get the area, 207! Hope that makes sense!!!

6 0

2 years ago

What is the (y) to this equation -5x+2y=13 5x+y=-1