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Molodets [167]
3 years ago
7

F(x)=x² + 6x-11 Write the equation in vertex form.

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

f(x)=(x+3)^{2}-20

Step-by-step explanation:

we have

f(x)=x^{2}+6x-11

To convert to vertex form complete the square

f(x)=(x^{2}+6x+3^2)-11-3^2

f(x)=(x^{2}+6x+9)-20

Rewrite as perfect squares

f(x)=(x+3)^{2}-20 ----> equation in vertex form

The vertex is the point (-3,-20) (is a minimum)

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I hope this helps!

5 0
3 years ago
Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi
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Answer:37.2 sec

Step-by-step explanation:

Given

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if both starts from same spot in opposite direction then

\frac{x}{10.37}=\frac{14-x}{12.17}

where x is distance covered by Joel

then x=6.44 miles

therefore time required

t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec

8 0
3 years ago
In the problem 3/4 • N=1, n must be
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5 0
2 years ago
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3 years ago
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