answer:
9x
Step-by-step explanation:
there both like terms with means you can just and and subtract them.
Answer:
Maximum Value: ∞
General Formulas and Concepts:
<u>Calculus</u>
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² + x³
<u>Step 2: Find Derivative</u>
- Basic Power Rule: f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹
- Simplify: f'(x) = 6x + 3x²
<u>Step 3: Analyze</u>
We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.
Therefore, the maximum value of the derivative would be ∞, as the parabola's output <em>y</em> infinitely increases.
Answer:
k = 3.70
Step-by-step explanation:
Eliminate parentheses, then subtract the constant term on the left
8.5 +4 -10k = -24.5
-10k = -37 . . . . . . . . . . 12.5 subtracted from both sides
k = 3.70 . . . . . . . . . . . both sides divided by -10 (no rounding required)
Answer:
6(4x + 3y)
Step-by-step explanation:
24 and 18 are both evenly divisible by 6, and so we have
6(4x + 3y)