<span>Logan is studying the reproductive rate of fruit flies and uses the table below to record the fruit fly population every week for 7 weeks. The correct function that fit his data collected is the exponential function. Exponential function deals with population growth.</span>
The equation of a circle is given as:
(x-a)^2 + (y- b)^2 = r^2 where (a, b) is the center.
(x-9)^2 = x^2 -18x + 81 - ----(i)
(y+2)^2 =y^2 + 4y +4 ------ (ii)
r^2 = 49 ------ (iii)
Adding equation (i) and (iii)
x^2 + y^2 - 18x + 4y + 85 -----(iv)
Equating equation (iv) and (iii)
<span>x^2 + y^2 - 18x + 4y + 85 = 49
Arrange the equation:
</span> <span>x^2 + y^2 - 18x + 4y + 36 = 0
</span><span>
I hope this helps
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60-75%= 45
So 60-45=15
15 people used credit cards
Answer:
There are ways for quickly multiply out a binomial that's being raised by an exponent. Like
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3
and so on and so on
but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this
1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.
Hope this helps!
