Answer:
![(x+4)^2 - 11 = 0\\](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%20-%2011%20%3D%200%5C%5C)
a = 4
b = -11
Step-by-step explanation:
![x^{2} +8x+5\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B5%5C%5C)
use the complete the square method:
![x^{2} +8x+5=0\\x^{2} +8x = -5\\\\(x+4)^{2} = x^2 + 8x + 16\\\\x^2 + 8x + 16 = -5 + 16\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B5%3D0%5C%5Cx%5E%7B2%7D%20%2B8x%20%3D%20-5%5C%5C%5C%5C%28x%2B4%29%5E%7B2%7D%20%3D%20x%5E2%20%2B%208x%20%2B%2016%5C%5C%5C%5Cx%5E2%20%2B%208x%20%2B%2016%20%3D%20-5%20%2B%2016%5C%5C)
we completed the square of x^2 + 8x + ... which is x^2 + 8x + 16 using (x+4)^2
we added 16 to both sides because whatever you do to one side, you have to do to the other:
![x^{2} +8x+16 = 11\\(x+4)^2 = 11\\(x+4)^2 - 11 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B16%20%3D%2011%5C%5C%28x%2B4%29%5E2%20%3D%2011%5C%5C%28x%2B4%29%5E2%20-%2011%20%3D0)
Answer:
y = 5
Step-by-step explanation:
The first term (a1) is 9, and the common difference (d) is 4. Then the general term is ...
an = a1 + (n-1)·d = 9 + 4(n -1) = 4n +5
The "y-intercept" corresponds to the value when n=0. That value is ...
a0 = 4·0 +5 = 5
The y-intercept is 5.
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<em>Comment on the problem</em>
We have computed f(n) for n=0, but we must realize that n=0 is outside the domain of the function. This function only makes sense for integer values of n that are greater than zero. The "real" answer is that the y-intercept is "undefined."
Answer:
D) 15.7
Step-by-step explanation:
D) as age increases, weight increases by 5
1 2/3 = 5/3
2 3/4 = 11/4
5/3 ÷ 11/4 = 5/3 × 4/11
= 20/33