# math

posted by .

1)Which values of x are in the solution set
y=3x-1
y=x^2-5x+6

3) write in simplest form (2/x+4/y)/(4x/y-y/x)

4)solve for all values of x
8x^3+4x^2-18x-9

5)abs(4x+6)-4x=-10

6) simplify 4x^-5y7 /(3x^3y^-8)^-3

• math -

1) set the two equations equal to each other:
3x-1 = x^2-5x+6

Combine like terms:
x^2-8x+7 = 0

Factor:
(x-1)(x-7)=0

x = 1, 7

• math -

2)
6ab√8b - 3a√32b^3 + 9ab√5b
= 6ab*2√2b - 3a(4b√2b) + 9ab√5b
= 12ab√2b - 12ab√2b + 9ab√5b
= 9ab√5b

3)
(2/x+4/y)/(4x/y-y/x)
= (2y+4x)/xy / (4x^2 - y^2)/xy
= (y+2x)/(2x-y)(2x+y)
= 1/(2x-y)

4)
8x^3 + 4x^2 - 18x - 9
= (2x+3)(2x-3)(2x+1)
x = -3/2, -1/2, 3/2

5)
|4x+6| - 4x = -10

If 4x+6 >= 0, |4x+6| = 4x+6 and you have
4x+6 - 4x = 10
6 = 10
no solutions there

If 4x+6 < 0, |4x+6| = -(4x+6) and you have
-4x-6 - 4x = 10
-8x = 16
x = -2
But, if x = -2, 4x+6 > 0, so no solution there
no solutions there

6)
4x^-5 y^7 /(3x^3 y^-8)^-3
4x^-5 y^7 * (3x^3 y^-8)^3
4x^-5 y^7 * 27x^9 y^-24
108x^4 y^-17
or, 108x^4/y^17

## Similar Questions

2. ### algebra 2

Would some one look at these problems and see if I got them right Thanks Just let me if they are wrong so I can go back over them 1.Write in simplest form 48/56 A. 6/7 2.Multiply 8x^3/5 *10/x^3 A. 16/x^4 3.Divide 4/x^7 / 12/x^3 A. …
3. ### math

x^2= 6x+11 solve the quadratic equation for values of x expressed in simplest radical form
4. ### Math help

Help with any of these would be greatly appreciated! THANK YOU! 1. How would i solve 3x^2 - 4 = 0?
5. ### math

Describe all the integer values of x that satisfy abs(x)is less thatn abs(x+1)
6. ### Math-Involing i's

1)What is the product of 5+ Radical (-36) and 1-Radical (-49) expressed in simplest a+bi Form?
7. ### alg2/trig

1)3x^2-12x-21 solve by completing the square in simplest radical form 2) (1/x+3)-(2/3-x)=(4/x^2-9)find values of x 3)3/radical(3a^2b^4) is equivalent to 4) factor completely 27x^-75x^4
8. ### Math (Simplest Radical Form)

How do you figure out simplest radical form with variables and/or exponents and/or numbers outside the square root
9. ### Math Proof

Prove that for all integers n > or = 1 and all real numbers x subscript 1, x subscript 2,...., x subscript n. absolute value of (x subscript 1+ x subscript 2+...+ x subscript n) <or= abs(x subscript 1) + abs( x subscript 2)+..+ …
10. ### Pre-Calculus

Simplify the rational expression and then add or subtract. Express answers in simplest form and identify all non-permissible values. (The non-permissible value is not the issue. It is the simplification) 3x + 15/x^2-25 + 4x^2 -1/ 2x^2 …

More Similar Questions