Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is 
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear
Answer:
Step-by-step explanation:
If 
then
by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).
Answer: You will need to find the x-intercepts and the vertex
Step-by-step explanation: Use the information in the factors and some formulae.
The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0
Set each factor equal to 0 and solve:
x-2=0, so x = +2 and x +4 = 0, so x = -4 (you would plot these if creating the graph)
To find the vertex you need the Vertex Formula: x = -b/2a
b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b: -2x + 4x = 2x You know a = 1 because x² will have the implied (missing)(1).
Put the numbers in the Formula: x = -b/2a x = -(2)/2(1) -2/2 = -1
-1 is the "x-value" of the vertex.
The y value is the 'c' in the quadratic formula. You get that from the L part of FOIL -2 × 4 = -8 .
So, your coordinates for the vertex: ( -1, -8 )
If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.
Answer:
16x - 48y +24
Step-by-step explanation:
We can use the distributive property to expand:
- 8(2x - 6y + 3)
- 8 x 2x - 8 x 6y + 8 x 3
- 16x - 48y + 24
Hope this helps!!
