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3 years ago

Which zero pair could be added to the function f(x)=x2+12x+6 so that the function can be written in vertex form?

Mathematics

1 answer:

alex41 [277]3 years ago

8 0

Find the vertex.

x=b/-2a

12/-2(1)
x=-6

then plug into equation

-6^2+12(-6)+6

36-72+6=-30

(-6,-30)

You might be interested in

The product of four different positive integers is 100. What is the sum of these four integers?

Leno4ka [110]

Step-by-step explanation:

The Answer for the above question is

The four integers are 1,2,5,10. And Sum of the four integers is 18 .

Method :

Product of four different positive integers is 100 .

First of all lets break the number "100"

⇒ 100 = 50*2

⇒ 100 = 25 * 2 * 2

⇒ 100 = 5 * 5 * 2 * 2

But here we get the same integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2 which is 10.

Let's get to the possible combination -

After merging 5*2 = 10 we get the answer as -

⇒ 100 = 1 * 2 * 5 * 10

Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .

Sum of these products is -

⇒ Sum = 1 + 2 + 5 + 10

⇒ Sum = 18 .

Sum of these four Integers is 18.

5 0

3 years ago

True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative

Alex787 [66]

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

3 0

2 years ago

A small company manufacturers a certain item and sells it online. The company has business model where the cost C, in dollars, t

Mars2501 [29]

Answer:

Step-by-step explanation:

We know that the break even point is the point where the cost and the revenue equations intersect. So the break even point in this situation is:

C= R

<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)

<=> $10x^{2}$ -50x -20 = 0

<=> x ≈ 5

If the company sells more than 5 items, it will have benefit

If the company sells less than 5 items, it will lose

8 0

3 years ago

Find the equation of the line, where P is a point on the graph of the line. m=2/3 , P(3,5)

Liula [17]

Answer:

The answer is

$y = \frac{2}{3} x + 3$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To write an equation of a line given a point and slope we have

y - y1 = m( x - x1)

where (x1 , y1 ) is the point and m is the slope

Equation of the line using point P(3 , 5) and m = 2/3 is

$y - 5 = \frac{2}{3} (x - 3)$

$y - 5 = \frac{2}{3} x - 2$

$y = \frac{2}{3} x + 5 - 2$

We have the final answer as

$y = \frac{2}{3} x + 3$

Hope this helps you

4 0

3 years ago

Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of ans

m_a_m_a [10]

The graph is translates down 135 units, because you can see how the y-intercept decreased by 135 units from f(x) to g(x).

3 0

3 years ago