Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer:
to find the sale price, you need to find what 34% of 82 is.
82 x 0.34 = 27.88
subtract that from the original price
82 - 27.88 = $54.12
you could also multiply 82 by (1 - .34) to get the same answer
82 x (.66) = $54.12
sale price is $54.12
hope this helps:)
Step-by-step explanation:
Answer:
It should take about 4.75 min.
Step-by-step explanation:
Hope this helps and could you mark me as the brainliest
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
Area = length²
Area = ( 4x - 3 )²
by using ( a - b )² = a² + b² - 2ab
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
Answer:
"because the graphs of the two equations overlap each other"
Step-by-step explanation:
If he graphs both equations on the graphing calculator and it shows only one line this can mean only one thing:
<em>Both linear equations are the same</em>
An example of this is
x+y=2
2x+2x=4
If you simplify the second equation by dividing everything by 2 you get the same equation as the first one
This means the answer would be "because the graphs of the two equations overlap each other"
<em />
