Answer:
Thank you, Also that is really cool
Step-by-step explanation:
ANSWER
B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

EXPLANATION
The given

The hypotheses are
1. The function is continuous on [1, 7].
2. The function is differentiable on (1, 7).
3. There is a c, such that:


This implies that;




Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
Answer:

Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...

Answer:
C: (-8,3) R:5
Step-by-step explanation:
The equation of a circle can be written as:
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center, and r is the radius
We have the equation:
(x+8)^2+(y-3)^2=25
Center:
The center is (-8,3)
(x+8)^2--> (x-h)^2
Therefore the x coordinate of the center is -8
(y-3)^2-->(y-k)^2
Therefore the y coordinate of the center is 3
Radius
r^2=25
Take the square root of both sides

r=5
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)
1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40
2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45
1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50
1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60
2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55
2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65
You can make 6 different amounts.
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6