Answer:
Step-by-step explanation:
The given equation is :
...(1)
We need to find the constant of proportionality in the equation.
In this equation, y is directly proportional to x i.e.
y ∝ x
or
y = kx ...(2)
k is constant of proportionality
If we compare equation (1) and (2), we find that,
So, the constant of proportionality is equal to .
Answer:
96 for both
Step-by-step explanation:
You can see that each region is equal because it is half. 8*12=96. (96/2)*2= Shaded region. 96
So that means the unshaded region is also 96.
Answer:
Explanation: Note that
To evaluate the integral in the boxed equation, let
. Then,
So,
Since y = 1 when x =0, equation (1) becomes
With the value of C, equation (1) becomes
Hence, if y = 3,
4,000÷10=400. So 1/10 of 4,000 is 400. And 4,000 is ten times as much as 4,000. ANSWER:400
Answer:
The simplified expression is:
= 4(x-5)(x-2)
Step-by-step explanation:
Given that:
=4(x-5)² + 12(x-5)
By simplifying we get
= 4(x^2 -10x + 25) + 12x - 60
= 4x^2 - 40x + 100 + 12x - 60
Adding like terms:
= 4x^2 -28x + 40
=4(x^2-7x+10)
=4(x^2-2x-5x+10)
=4(x(x-2)-5(x-2))
By taking common we get:
= 4(x-5)(x-2)
This is the simplified expression.
I hope it will help you!