2 years ago

Please show your work thanks

Mathematics

1 answer:

blagie [28]2 years ago

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I wish I really knew

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Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$ ----> equation in vertex form

$f(x)=8(x-0.25)^{2}+10.5$

The vertex is the point (0.25,10.5)

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Find the greatest common factor of 9 and 14

Ratling [72]

The biggest common factor number is the GCF number. So the greatest common factor 9 and 14 is 1.

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Which of the following statements is true of an essay's conclusion?

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The answer is option D.

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How many orders of magnitude is $1000 than a nickel?

Leto [7]

I'm pretty sure it is a $20 bill...

Hope this helped :D good luck!!! have a nice day. :D

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alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. which expression represents the total amount that alexi

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He is leaving 20% tip of the bill of $58

20% extra

So total amount = 100% + 20% = 120%

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(120/100) * 58

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