Answer:
The quotient is: 3x-7
The remainder is: 0
Step-by-step explanation:
We need to divide 9x^2 - 18x - 7 ÷ (3x + 1)
The Division is shown in the figure attached.
The quotient is: 3x-7
The remainder is: 0
Which ordered pair is a solution of the equation y=-9+4 (10,-86)
Answer:
x=3/radical2,-3/radical2,3/4
Step-by-step explanation:
By factoring you get
4x(2x^2-9)-3(2x^2-9)=(2x^2-9)(4x-3)=0
x^2=9/2, x=3/4
x=3radical2/2, -3radical2/2 , 3/4
Answer: (2,4) is a solution to this system
Step-by-step explanation:
The given system of equations is expressed as
y = 2x - - - - - - - - - - - 1
y = -1/2x + 5 - - - - - - - - - 2
The first step is to equate equation 1 to equation 2. It becomes
2x = - 1/2x + 5
The next step is to add - 1/2x to the left hand side and the right hand side of the equation. It becomes
2x + x/2 = - x/2 + x/2 + 5
(4x + 2)/2 = 5
The next step is to multiply the left hand side and the right hand side of the equation by 2. It becomes
(4x + 2)/2 × 2= 5 × 2
4x + 2 = 10
Subtracting 2 from the left hand side and the right hand side of the equation. It becomes
4x + 2 - 2 = 10 - 2
4x = 8
Dividing the left hand side and the right hand side of the equation by 4, It becomes
4x/4 = 8/4
x = 8/4 = 2
Substituting x = 2 into equation 1, it becomes
y = 2 × 2 = 4
