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Brut [27]
2 years ago
10

What is the vertex of the following function? f(x) = 2(x+8)^2 - 2

Mathematics
1 answer:
netineya [11]2 years ago
4 0

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(x+8)^2-2\implies f(x)=2[x-(\stackrel{h}{-8})]^2\stackrel{k}{-2}~\hfill \stackrel{vertex}{(-8~~,~~-2)}

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5 0
3 years ago
Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are
user100 [1]
The given sequence is
a₁, a₂, ..., a_{n}

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
a_{n}=a_{1}+(n-1)d
where
d =  the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
S_{n}= \frac{n}{2} (a_{1}+a_{n})

Example:
For the arithmetic sequence
1,3,5, ..., 
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The n-th term is
a_{n}=1+2(n-1)

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100



8 0
3 years ago
Write 4y−10=0 in slope-intercept form
pogonyaev

Answer:

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Step-by-step explanation:

4 0
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Select ALL that apply: 21 days is equal to...
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Answer A. is correct


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Answer B. is correct. These are all the correct answers, A,B, and D.



3 0
3 years ago
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Can someone help me with this?
Natalija [7]

use the Pythagoras theorem method

a squared plus b squared equals c square

8 0
3 years ago
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