Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em>
</em>
<em>where 
represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for 
We have:
Solving for
Dividing both sides by 2.
∴ 
Thus, the constant of proportionality = 4.
Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x
Answer:
Whats the question?
Step-by-step explanation:
For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
