Answer: 5 Cans
Step-by-step explanation:
Answer:
40 * x - 600 = 0
Step-by-step explanation:
Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:
2400 - 1800 = 40 * x
rearranging leads to
40 * x - 600 = 0
This equation describes the situation above
The function can be expressed as:
f(x) = log(-20x + 12√x)
To ascertain the maximum value, differentiate the equation with respect to x and set the derivative to zero. The procedure unfolds as follows.
The differentiation formula is:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
From which we derive x = (6/20)² = 9/100
Therefore,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
The function's maximum value is 0.2553.
Answer:
(x+12)(x+5)
Step-by-step explanation:
Using the formula: a²+bx+c
Original equation:
-7x-60 =x² +10x
Rearranged:
x² + 17x + 60
Result:
(1)x x 60 = 60
- Identify factors of 60 that sum up to 17.
Outcomes:
10 × 6, 60 × 1, 20 × 3, 5 × 12, 4 × 15
Choosing 5 and 12 yields 60, with a sum of 17.
- Substitute 5 and 12 for 17
Updated:
x² + 5x + 12x + 60
- Separate into two expressions
Updated:
x² + 5x l 12x + 60
- Factor each expression. Ensure ( ext{ }) have identical values within.
Final result:
x(x + 5) l +12(x+5)
- Final answer: (x+12)(x+5)
