Rewrite the function by completing the square 4x^2-16x +7

1 answer:

6 0

Answer:

$(2x-4)^2-9 => 4(x-2)^2-9$

Step-by-step explanation:

$=> 4x^2-16x+7\\ =>(2x)^2-2*(2x)*(4)+7\\ =>(2x)^2-2*(2x)*(4)+(4)^2-(4)^2+7\\ =>(2x-4)^2-9\\ =>4(x-2)^2-9$

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irinina [24]

Step-by-step explanation:

3 + 6 / 2 = 8

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4 0

2 years ago

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .