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3 years ago

Which steps are involved in multiplying fractions??

1 answer:

4 1

Write out the problem. ...Simplify the first fraction. ...Simplify the second fraction. ...Multiply the numerators of both fractions. ...Multiply the denominators of both fractions. ...Place the new numerator over the new denominator.

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Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

Verify each solution

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

4 0

3 years ago

Jennifer deposits $80 into an investment account with a rate of 4%, compounded annually. The equation y = 80(1 + 0.04)x can be u

IceJOKER [234]

Answer:the answer is A: (0,80)

Step-by-step explanation:

8 0

3 years ago

Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

3 years ago

Your subtotal at the store was $72.29. You have a 40% off coupon. If the sales tax rate is 9.5%, what is the total price for you

ale4655 [162]

$47.50

Step-by-step explanation:

Before tax proce is $72.29

sales tax is 9.5%= $6.87

$72.29+$6.87=$79.16

40% off of $79.16=$47.50

8 0

3 years ago

Help fast 15 points

den301095 [7]

Answer:

1/4

Step-by-step explanation:

7 0

3 years ago