Answer:
Option B is correct.
Step-by-step explanation:
The distance formula used is:

We need to find distance between origin and other point (3,-4,5)
Origin is: (0,0,0)
x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5
Putting values in the distance formula we get:

The Distance from the origin to the point (3, −4, 5) is 7 units.
Option B is correct.
We have that
y< 6x-3
using a graph tool
see the attached figure
the answer in the attached figure
Answer:
Option (b) is correct.

Step-by-step explanation:
Given: 
We have too choose the correct simplification for the given statement.
Consider 
Using property of exponents,
We have,

Again applying property of exponents 
We have,

Simplify, we have,

we get,

Thus, 
Option (b) is correct.
Answer:
f(4)
Step-by-step explanation:
The output is the value of f(x) for a given value of x ( the input )
Substitute the given values of x into f(x) to determine the output, that is
f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48
f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48
f(4) = 4³ - 4² = 64 - 16 = 48
Thus f(4) gives an output of 48