Answer:
yes
Step-by-step explanation:
2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also
increases.
- Yes, 4·y = 16·x is a direct variation
Reasons:
A direct variation is a relationship that exists between two variables. It is
also known as a direct proportion which can be expressed as; y = k·x
Where <em>k</em> is a number
The given equation is 4·y = 16·x
Dividing both sides by 4 gives;

Which gives;
y = 4·x
Comparing the above equation with the equation for a direct variation gives;
y = 4·x
y = k·x
Therefore;
k = 4
The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.
Learn more about direct variation here:
brainly.com/question/6499629
You would need to turn 4 4/9 and 2 7/9 into mix numbers. This would leave you with 50/9 - 25/9. Since the denominators are the same you just need to subtract the numerators 50 - 25 = 25. So the answer is 25/9
Electric current is the movement of the electrons caused by potential
difference. For example, in a circuit, the electrons in the bulb will not move
without the potential difference or voltage. When there is voltage, electric
current occurs because there is a driving force for the electrons in the wire
to move.