Answer:

Step-by-step explanation:
Given

Required
Condition that the roots is in m : n
Let the roots of the equation be represented as: mA and nA
A quadratic equation has the form:

or

We have the roots to be mA and nA.
So, the sum is represented as:


And the product is represented as:


By comparing:

with



So, we have:


Make A the subject:


Substitute 


Multiply both sides by a


Cross Multiply:

Hence, the condition that the ratio is in m:n is

Answer:
3^4 = 81
Step-by-step explanation:
Answer:
x-intercept=1/4 y-intercept= -1/8
Step-by-step explanation:
First, simplify the equation, y= 1/2x-1/8
Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.
To find the y-intercept, you simply have to keep in mind that y=mx+b
b=y-intercept
So our y-intercept is stated in the equation after we simplified it