exam Maths Puzzle Numerical Ability

On a summer assignment I'm required to complete for Pre AP Geometry, we have this question:
Graph the function & label as exponential growth or decay.
I know it's exponential gro

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I need assistance proving the basis theorem. Here is the theorem. "Let H be a p dimensional subspace of R^n. Any linearly independent set of p vectors of H is a basis for H. An Can you please show me how to solve this problem step by step please ? 0.8-4(X-1)= 0.2 + 3(4-X).I just need to see how the process works and why you apply those steps to the problem.