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
That’s what I got for the answer
Answer:-24
explain how you know:
Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)
Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)
For maxima or minima, f ‘ (x) = 0
=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3
Differentiating (2), f ‘’ (x) = 72/x^3
When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.
When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.
Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)
The total number of people in the family that generates 20 loads of laundry in a week is 10.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of people and x represent the number of laundry loads.
From the table:
y = (1/2)x
For 20 loads:
y = (1/2) * 20 = 10
The total number of people in the family that generates 20 loads of laundry in a week is 10.
Find out more on equation at: brainly.com/question/2972832
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