Answer:

Step-by-step explanation:
When we have a number to a fraction power, we need to note that
- It's the same as taking the denominator root of the base to the numerator power
Basically, for example,
is the same as
since the numerator is 1 (
) and the denominator is 2 (
).
Applying this same logic to
-


Hope this helped!
Answer:
last one
Step-by-step explanation:
i did this
Answer:
The parabola is translated down 2 units.
Step-by-step explanation:
You have the parabola f(x) = 2x² – 5x + 3
To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:
f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1 <u><em>Expresion A</em></u>
The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.
- If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
- If p> 0 and q <0, the parabola shifts p units to the right and q units down.
- If p <0 and q> 0, the parabola shifts p units to the left and q units up.
- If p <0 and q <0, the parabola shifts p units to the left and q units down.
In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.
This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.
In conclusion, <u><em>the parabola is translated down 2 units.</em></u>
Answer:
64x⁶ - 216y³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³
For the large cube,
V =(4x²)³
V = 64x⁶
For the small cube,
v =(6y)³
v = 216y³
The difference in volume is
Diff. = 64x⁶ - 216y³