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Nostrana [21]
3 years ago
12

Which are real zeroes of this function? x3 + 2x2 – 9x – 18

Mathematics
1 answer:
stepan [7]3 years ago
5 0
<h2>Hello!</h2>

The answer is:

E. -2, 3, -3

<h2>Why?</h2>

To find the zeroes of the function, we just need to evaluate the given values and check if the function/expression tends to 0.

We are given the function

f(x)=x^{3}+2x^{2}-9x-18

Now, to find the zeroes, we need to substitute the values, so, substituting the values of the option E, we have:

First value, -2:

f(-2)=-2^{3}+2*(-2)^{2}-9*(-2)-18

f(-2)=-8+2*4+18-18

f(-2)=-8+8+18-18=0

Second value, 3:

f(3)=3^{3}+2*(3)^{2}-9*(3)-18

f(3)=27+2*9-27-18

f(3)=27+18-27-18=0

Third value, -3:

f(-3)=-3^{3}+2*-3^{2}-9*-3-18

f(-3)=-27+2*9+27-18

f(-3)=-27+2*9+27-18=0

Hence, we have that evaluating the values of the option E, the function tends to 0.

So, the correct option is: E. -2, 3, -3

Have a nice day!

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Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
2. Solve for x. Round answer to the nearest tenth. *
slavikrds [6]

Answer:

x ≈ 7.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos22° = \frac{adjacent}{hypotenuse} = \frac{x}{8}

Multiply both sides by 8

8 × cos22° = x, thus

x ≈ 7.4 ( to the nearest tenth )

4 0
3 years ago
Which pair of transformations to the figure shown below would produce an image that is on top of the regional
yKpoI14uk [10]
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7 0
3 years ago
What is 3,101 divided by 16 as a decimal please help
Amanda [17]

Answer:

193.8125

Step-by-step explanation:

3 0
3 years ago
Sistema de ecuaciones.5x+2y=-152x-2y=-6
Zolol [24]

Tnemos el sisema de ecuaciones:

\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}

Respuesta: x=-3, y=0

7 0
1 year ago
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