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3 years ago

Factor 2x2 + 6x - 108.

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

5 0

2(x-6)(x+9)
Answer is B

brilliants [131]3 years ago

4 0

Answer:

b) 2(x-6)(x+9)

Step-by-step explanation:

2x^2+6x-108

Factor out the 2, common factor!!!

2 (x^2 +3x -54)

Now time to factor, what to numbers multiply to get -54 and add to get 3

6,9 look good

what combination???

9,-6 because 9-6 = 3 and 9x-6=-54

2(x-6)(x+9)

From what I'm use to you put the 2 back in by dividing the numbers but in this case you dont need to.

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

Find the area of the shaded region

Setler79 [48]

Answer:

I would help you and say the answer but..

Step-by-step explanation:

I dont know what it is :c

7 0

3 years ago

Find vertex of f(x)=(x+3)(x-5)

astra-53 [7]

The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.

Answer: (1, -16)

Let's do it some other ways. How about completing the square to turn f in to vertex form?

f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16

and now we can read off (1, -16) as the vertex.

The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.

Three methods, same answer. Good.

4 0

3 years ago

Read 2 more answers

What is (-2.1) to the third power

Fudgin [204]

That would be -9.261.

7 0

3 years ago

Read 2 more answers

*simplify 5|-3+(-7)|=

Lena [83]

Answer:

-2l -3

Step-by-step explanation:

5l -3+ (-7)l

5l -3 -7l

5l -7l -3

-2l -3

6 0

3 years ago