Answer:

Step-by-step explanation:
If we have that worded expression, we can convert it into actual mathematical terms.
x to the one sixth power: 
That to the power of 3:

Using exponent rules, since we have a power to a power, the powers multiply, so:

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.
So:

Hope this helped!
Answer:
12x⁶+24x⁵-180x⁴/ 30x³+240x²+450x
Step-by-step explanation:
(x-3)(x+5)=x²+2x-15
12x⁴(x²+2x-15)= 12x⁶+24x⁵-180x⁴
(x+3)(x+5)=x²+8x+15
30x(x²+8x+15)= 30x³+240x²+450x
Answer:
10
Step-by-step explanation:
Ground level is where h = 0, so solve the equation ...
h(x) = 0
-5(x -4)^2 +180 = 0 . . . . substitute for h(x)
(x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36
x -4 = 6 . . . . . . . . . . . . . . positive square root*
x = 10 . . . . . . add 4
The object will hit the ground 10 seconds after launch.
_____
* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.
Answer:
2x + 3y - 24 = 0
Step-by-step explanation:
2x + 3y = 18
3y = -2x + 18
y =
x + 6
m = -2/3
y - 4 = -2/3(x - 6)
3y - 12 = -2x + 12
2x + 3y - 24 = 0
600 ft. This is because you travel 10 feet per second and there are 60 seconds in a minute. 10 x 60 =600