Step-by-step explanation:
Given expression is x⁴-kx²+4 =0
x−2 is a factor of the given expression.
So, x=2
Substitute in the equation, we get
2⁴-k(2)²+4
⇒16+4k+4=0
⇒4k=−20
⇒k=−5
The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
135 is the answer because ^ they said it
Answer:
7/4 inches
Step-by-step explanation:
Longest bean sprout = 8/8 + 8/8
Longest bean sprout = 1 + 1
Longest bean sprout = 2
Shortest bean sprout = 2/8
Difference = 2 - 2/8
Difference = (16-2)/8
Difference = 14/8
Difference = 7/4
Hence the distance is 7/4 inches
The answer is (4,-9). I just took the quiz.