Answer:
20 m
Step-by-step explanation:
The maximum height is given by the vertex form of the equation, that is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
h(t) = - 5t² + 20t ← factor out - 5 from each term
= - 5(t² - 4t)
Using the method of completing the square
add/subtract ( half the coefficient of the t- term)² to t² - 4t
h(t) = - 5(t² + 2(- 2)t + 4 - 4 )
= - 5(t - 2)² + 20 ← in vertex form
with vertex = (2, 20 )
The maximum height is at the value of k = 20
That is the maximum height is 20 m
209,767 rounded to the nearest hundred thousand (Or nearest 100,000) is 200,000.
A fraction and decimal because it equals 1 30/100 or 1 .03.
Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
It has already been given in the question that the cost of tv has dropped fro $265 in 2012 to $199 in 2014. To find the average rate of decrease in the cost of tv in 2 years we have to subtract the difference in price and then divide it by 2 to get to the actual result that is needed.
Difference in price of tv = (265 - 199) dollars
= 66 dollars
so the difference in price of tv in 2 years is $66
Then
The average rate of decrease in cost of tv = 66/2
= 33
So $33 is the average rate of decrease in the price of tv between the years 2012 and 2014.
