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Vladimir79 [104]
3 years ago
6

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

Mathematics
2 answers:
lana [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

f(x) = x^{2} -8x+3

=> f(x)= x^{2} -2(x)(4)+4^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-4^{2}+3

=> f(x) = (x-4)^{2}-16+3

=> f(x) = (x-4)^{2}-13

Ad libitum [116K]3 years ago
4 0

Answer:

f(x) = (x - 4)² - 13

Step-by-step explanation:

f(x) = x² − 8x + 3

x² − 8x + 3 = 0

x² - 8x = -3

x² - 8x + 4² = -3 + 4²

x² - 8x + 4² = -3 + 16

x² - 8x + 4² = 13

(x - 4)² = 13

(x - 4)² - 13 = 0

The vertex form of a quadriatic function  f(x) = x2 − 8x + 3 is;

f(x) = (x - 4)² - 13

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Xelga [282]

Answer:

<em>AB = 7.35 cm</em>

Step-by-step explanation:

From the attachment,

In ΔDEF,

DF = GH-(GD+FH) = 6 - (2+3) = 1 cm

DE = 2+3 = 5 cm (sum of two radius)

Applying Pythagoras theorem,

EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6

In ΔCDI,

DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm

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Applying Pythagoras theorem,

CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6

AB = EF + CI = 2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm

6 0
3 years ago
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Vlad [161]

Answer:

  18 days

Step-by-step explanation:

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5 0
3 years ago
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Bingel [31]
I'm pretty sure the answer is C. 78%. (KEEP READING)
 
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But since it is repeating it would be 77%

So if you are rounding it to the nearest number, to ones, then the answer is C. But if you are rounding to the tens then it would be D.

I personally would put C because you want the "nearest percent". 

HOPE I HELPED!!!
5 0
3 years ago
Find the area of the circle with a circumference of 30 π. Use 3.14 for π. Round to the nearest hundredth.
Leto [7]

Answer:

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Step-by-step explanation:

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3 years ago
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