Which zero pair could be added to the function f(x)=x^2+12x+6 so that the function can be written in vertex form?

1 answer:

4 0

f(x) = x² + 12x + 6 → y = x² + 12x + 6

Let us convert the standard form into vertex form.

1) Complete the squares. Isolate x² and x terms.
y - 6 = x² + 12x

2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.

y - 6 + 36 = x² + 12x + 36
y + 30 = (x + 6)²
y = (x + 6)² - 30 ← Vertex form

To check:

y = (x + 6) (x + 6) - 30
y = x² + 6x + 6x + 36 - 30
y = x² + 12x + 6

The zero that could be added to the given function is 36, -36

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Can someone please explain expanded form with this number 15,409

Anarel [89]

The expanded form of 15,409 would be 15,000 + 400 + 9.

Your 15 would alone be 15,000. The 409 is turned into zeros.
For 409, take the 9 off of the end and keep it by itself, and then add a zero in replace for the 9, which makes 400.
The 9 should come in at the last part as it is the last number.

Add them all together and you should get 15,000 + 400 + 9.

3 0

3 years ago

A cube has a side length of 8 inches.

Kazeer [188]

The answers are $8^{3}$ and 8 · 8 · 8

Explanation:

The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= $s^{3}$ . According to this, if the side length is 8 inches the volume can be represented as $V = 8^{3}$ or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct: $8^{3}$ and 8 · 8 · 8.