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zubka84 [21]
3 years ago
14

Which linear inequality is graphed In the figures

Mathematics
1 answer:
solniwko [45]3 years ago
5 0
The answer is B because the line is not dotted.
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If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
3 years ago
Read 2 more answers
La empresa los manzanas exporta manzanas o varios paises del mundo, el lunes tiene que trasladar 300 cajones. Puede contratar ca
Mariulka [41]

Answer:

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

Step-by-step explanation:

<u>Dada la siguiente información:</u>

<u></u>

Cantidad de cajones= 300

Opción A:

Camiones con capacidad para 50 cajones que cobran 150 por viaje.

Cantidad de camiones= 300/50= 6

Opción B:

Camiones con capacidad de 60 cajones por 180 por viaje.

Cantidad de camiones= 300/60= 5

<u>Debemos calcular el costo total de cada opción y elegir la de menor costo.</u>

Costo total A= 150*6= $900

Costo total B=180*5= $900

Para trasladar 300 cajones, las dos opciones cuestan los mismo. Son indiferentes entre si.

5 0
2 years ago
Angie can peel
Mekhanik [1.2K]
The answer is b plz mark me brainliest
5 0
3 years ago
Read 2 more answers
The number 720 can be expressed as<br>24 x 36 x 5. Work out the values of a and b.<br>​
soldi70 [24.7K]

Answer:

24×36×5=4,320

4,320÷6=720

4 0
3 years ago
Read 2 more answers
On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round t
matrenka [14]

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

6 0
2 years ago
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