Expanded FormExpanded form refers to a base and an exponent written as repeated multiplication. ExponentExponents are used to describe the number of times that a term is multiplied by itself. ExpressionAn expression is a mathematical phrase containing variables, operations and/or numbers.
the answer for this question is 64-144a+108a^2-27a^3
The answer is the last one y=2.60z+180
A) The domain remains the same.
Since, in y = - 2 f(x) , the y is whats being multiplied and therefore changed, not the x or domain.
Therefore D[-6,10] <span>
The range is what changes by a factor of -2.
If the original range was [-8,12], then the new one is
[(-8 x -2),(12 x -2)] = [16 , -24].
However, you must flip the numbers to make the interval true, giving you R [-24,16]</span>
Answer:
t = 5 seconds
Step-by-step explanation:
It is given that, the height h, in feet of a ball above the ground is given by :
![h=-16t^2+64t+80](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B64t%2B80)
Where t is in seconds
We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,
![-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s](https://tex.z-dn.net/?f=-16t%5E2%2B64t%2B80%3D0%5C%5C%5C%5Ct%3D%5Cdfrac%7B-64%5Cpm%20%5Csqrt%7B%2864%29%5E2-4%5Ctimes%20%28-16%29%2880%29%7D%20%7D%7B2%5Ctimes%20-16%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B-64%2B%20%5Csqrt%7B%2864%29%5E2-4%5Ctimes%20%28-16%29%2880%29%7D%20%7D%7B2%5Ctimes%20-16%7D%2C%5Cdfrac%7B-64-%5Csqrt%7B%2864%29%5E2-4%5Ctimes%20%28-16%29%2880%29%7D%20%7D%7B2%5Ctimes%20-16%7D%5C%5C%5C%5Ct%3D-1%5C%20s%5C%20%5Ctext%7Band%7D%5C%20t%3D5%5C%20s)
Neglecting negative time.
It means ball will take 5 seconds to hit the ground.