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den301095 [7]
3 years ago
11

Consider the functions f(x)=(ax^2-b)/(x^2-4) and g(x)=(x^2-cx+d). if the limit as x approaches 3 equals 6, what is the relations

hip between a and b?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\
6=\dfrac{9a-b}{5}\\\\\
9a-b=30\\\\
\boxed{b=9a-30}

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hichkok12 [17]

Answer:

The coordinates of C(22/3, 7)

Step-by-step explanation:

Partitioning between two points A and B in the ratio a:b.

The x-coordinate of the point of partition C is found at

XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)

Similarly, the x-coordinate of the point of partition is found at

YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)

Given A(8,8), B(4,2), partition ratio of A:B = 1:5,

substitute in (1)

XC = 8*5/6+4*1/6 = 44/6 = 22/3

YC = 8*5/6 + 2*1/6 = 42/6 = 7

The coordinates of C(22/3, 7)

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3 years ago
What is the Inter quartile Range <br> 5, 36, 15, 31
Greeley [361]

Answer:

The interquartile range would be 23.5.

3 0
3 years ago
In the following month 10 percent savings on other cost are expected
charle [14.2K]
Yes agree 10 percent is expected
3 0
2 years ago
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azamat

Answer:

yes

Step-by-step explanation:

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8 0
3 years ago
What is the completely factored form of this polynomial? 25x^2y^2-100
Law Incorporation [45]

Answer:

25x²y² - 100

= 25(x²y² - 4)

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