Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
Answer:
A = 5x + 12 (See explanation!)
Step-by-step explanation:
So, this "polygon" is really just two rectangles combined! With that in mind, remember that the area of a rectangle is base*height. Now, apply that to the problem. We know that the total length of the bottom base is 7, and 5 is the length of the second rectangle's base, so the 1st rectangle's base must be 7 - 5 = 2. The area of the 1st rectangle is then 6*2 = 12. The second rectangle's area is 5*x. So, if the area of the polygon is the sum of the two rectangles' areas, the expression you could use is:
5*x + 6* 2 = A
Simplify/Rewrite:
A = 5x + 12
(A is area, x is the unknown length in the diagram)
Hope this helps!
Answer:
Time, and Amount
Step-by-step explanation:
Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.
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.
