Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is, 
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :
Now the differentiating the equation with respect to time t, we get
For maximum height,
So, 
Therefore, the ball takes 2.5 seconds time to reach the maximum height.
? idont understsnd be more specific
Answer:
The constant of variation is 1/9
The equation representing the direct variation is y/x= 1/9
Step-by-step explanation:
In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Therefore, the constant of variation is 1/9
Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation
* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both
The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.
The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).
First, let us restate the given conditions
c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)
Now, lets look at the answer choices and or given
c = a − 5
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified
a = c + 5
a = 3c − 3
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified
a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So,
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct
c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.
So, our answer is going to be the last one:
c = a + 5
c = a - 3
