The correct answer is the las option (Option D), which is:
D. f(x)=(x+4)^4
The explanation is shown below:
1. The initial function was G(x)=x^4, whose graph shows that the shape has its vertex at 0,0.
2. If the it was shift 4 units to the left, you only has to add a 4 to the function.
3. Therefore, you obtain the the equation of the final shape is:
f(x)=(x+4)^4
As you can see, the answer is the option D.
Answer:
Step-by-step explanation:
![h(t)=\sqrt{(t)(1-t^2)}\\h^{2}(t)=t(1-t^2)=t-t^3\\ diff. w.r.t.,\\2 h(t)h'(t)=1-3t^2\\h'(t)=\frac{1-3t^2}{2 h(t)} \\h'(t)=\frac{1-3t^2}{2\sqrt{(t)(1-t^2)} }](https://tex.z-dn.net/?f=h%28t%29%3D%5Csqrt%7B%28t%29%281-t%5E2%29%7D%5C%5Ch%5E%7B2%7D%28t%29%3Dt%281-t%5E2%29%3Dt-t%5E3%5C%5C%20diff.%20w.r.t.%2C%5C%5C2%20h%28t%29h%27%28t%29%3D1-3t%5E2%5C%5Ch%27%28t%29%3D%5Cfrac%7B1-3t%5E2%7D%7B2%20h%28t%29%7D%20%5C%5Ch%27%28t%29%3D%5Cfrac%7B1-3t%5E2%7D%7B2%5Csqrt%7B%28t%29%281-t%5E2%29%7D%20%7D)
Given:
A right triangle with legs 5 units and 6 units.
To find:
The measure of angle opposite of side whose length is 5 units.
Solution:
In a right angle triangle,
![\tan \theta=\dfrac{Opposite}{Adjacent}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7BOpposite%7D%7BAdjacent%7D)
Let
be the missing angle. Then, for the given triangle,
![\tan \theta=\dfrac{5}{6}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7B5%7D%7B6%7D)
![\theta=\tan^{-1}\dfrac{5}{6}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctan%5E%7B-1%7D%5Cdfrac%7B5%7D%7B6%7D)
![\theta=39.805571^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D39.805571%5E%5Ccirc)
Round the value to the nearest degree.
![\theta\approx 40^\circ](https://tex.z-dn.net/?f=%5Ctheta%5Capprox%2040%5E%5Ccirc)
Therefore, the measure of the required angle is 40 degrees.
D’(5,-5), E’(2,-7), F’(6,-1), G’(10,-8)
Since it’s four units right you would add 4 to the x value and 5 units down so you subtract 5 from the y value.
24 yrs, might not be the answer
3%=0.03 you have to get to 6%=0.06
So you find the value of each month in 3%
So 3% divided by 12 months = 0.0025
Now you have the value of each month MULTIPLY until you get 0.06
So: 0.0025 x 1, 2, 3, 4,…….. and so forth
So the your result will be
0.0025per months x 24yrs = 0.06 = 6%
24 years