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2 years ago

P(x)= x^5-4x^4+3x^3+2x-6 Use Descartes rule of signs to analyze the zeros

1 answer:

8 0

$\bf \begin{array}{cccccccccccllll}
P(x)= x^5&-&4x^4&+&3x^3&+&2x&-&6\\
&yes&&yes&&\textit{no}&&yes
\\\\\\
P(-x)= -x^5&-&4x^4&-&3x^3&-&2x&-&6\\
&\textit{no}&&\textit{no}&&\textit{no}&&\textit{no}
\end{array}$

notice where how many "yes" sign change happen in the positive "x"
and the on the negative "-x"

for the P(x) is 3 changes, thus
so is either 3 real positive ones, or 3-2 = 1 real positive one

P(-x) gives no sign changes, so there are 0 negative ones

the polynomial has a degree of 5, thus 5 roots
if it has 3 real positive ones, then it has 2 complex ones
the complex ones pick up the slack per se

if it has 1 real positive one, then it has 4 complex ones

bear in mind complex ones always come in pairs

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Write a unit rate for: 71 inches of cloth for $23.43.

deff fn [24]

Answer:

$0.33 per inch

Step-by-step explanation:

Divide cost by inch to get cost per inch.

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3 years ago

A car rents for $40 per day plus 18¢ per mile. You are on a daily budge of $67. What mileage will allow you to stay within your

IrinaVladis [17]

Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot. That leaves you $27 a day for mileage.

$27 / $0.18 per mile = 150 miles per day, tops.

4 0

2 years ago

Read 2 more answers

Can an object be in pure translation as well as in pure rotation simultaneously?

Inessa [10]

"Pure translational" motion means the object is moving from place to place but isn't rotating at all. Mathematically, that means every point on the object has the same velocity vector as every other point on the object. For example, say you have a box that's sliding along the ground, and say each corner on the box is moving at 15 feet per second at an angle of 26 degrees west of north. Since every point on the box has the same velocity vector, the motion is "pure translational."

"Pure rotational" motion means the object is rotating, but its position in space isn't changing. Mathematically, that means that every point on the object moves in a circle around some axis (usually through the object's center of mass).

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0

3 years ago

9.1k = 63.7 what does this equal

zheka24 [161]

Step-by-step explanation:

9.1k=64.7

Find k

64.7/9.1=7

Plug in 7

9.1(7)=64.7

Multiply 9.1 and 7=63.7

63.7=64.7

Divide

1.02 or 1 1/50

Hope that helps somewhat

5 0

2 years ago

Read 2 more answers

Summer Dave builds a crate to hold vegetables the volume of the crate is 48 ft.³ the base area of the crate is 16 ft.² what is t

MariettaO [177]

The height of crate is 3 feet

Solution:

Given that Summer Dave builds a crate to hold vegetables

Volume of crate = 48 cubic feet

Base area of crate = 16 square feet

To find: height of crate

The crate is of shape cuboid

The volume of cuboid is given as:

$volume = length \times width \times height$

We know that,

$Area\ of\ base = length \times width$

Therefore, volume becomes,

$volume = base\ area \times height$

Substituting the given values we get,

$48 = 16 \times h\\\\h = \frac{48}{16}\\\\h = 3$

Thus height of crate is 3 feet

6 0

2 years ago