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Novay_Z [31]
3 years ago
7

What are the approximate values of the non-integral roots of the polynomial equation?

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0

Answer: D: 1.27    E: 4.73

Step-by-step explanation: D & E are right on edg

irga5000 [103]3 years ago
5 0

Answer:

-4, -2, -3-2i, -3+2i

Step-by-step explanation:

The of the polynomial equation are those values of x, for which f(x)=0.

Consider equation

f(x)=0\\ \\(x^2+6x+8)(x^2+6x+13)=0

By zero product property,

x^2+6x+8=0\ \text{or}\ x^2+6x+13=0

Solve each equation:

1. x^2+6x+8=0

D=6^2-4\cdot 8=36-32=4\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{4}}{2}=\dfrac{-6\pm 2}{2}=-4,\ -2

2. x^2+6x+13=0

D=6^2-4\cdot 13=36-52=-16=16i^2\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{16i^2}}{2}=\dfrac{-6\pm 4i}{2}=-3-2i,\ -3+2i

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The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that way nine days late.
olasank [31]

Answer:

16 days

Step-by-step explanation:

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7 0
3 years ago
Find all rational roots for p(x)=0
Olenka [21]

Answer

C. (5/2, -1/3)

Step by step explanation

Here we use the rational root theorem.

The possible roots are

+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6

We have to use the synthetic division to find the correct root of this function.

Here the roots are 5/2 and -1/3

Others are not roots of this function.

Let's check x = 5/2  with synthetic division.

5/2)   6   -13   13   -39   -15

-               15    5    45    15

           --------------------------

             6     2   18     6     0

Similarly x = -1/3 is also root of this function.

Answer: C. (5/2, -1/3)


8 0
3 years ago
What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to
xxMikexx [17]

Answer:

The answer to your question is  Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

   circumference = 2πr

-Substitution

   2.9 = 2πr

-Solve for r

   r = 2.9/2π

   r = 1.45/π cm

2) Calculate the volume of the cone

   Volume = 1/3πr²h

-Substitution

   Volume = 1/3π(1.45/π)²(14.9)

-Simplify

   Volume = (1.04)(0.213)(14.9)

   Volume = 3.30 cm³

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Step-by-step explanation:

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What is the first step in solving 5v+9=−51
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Answer:

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Step-by-step explanation:

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