Determine all the possible number of positive and negative real zeros for h(x) = x^3 - 2 x^2 - 4x + 5

Answers

Answer 1

Answer:

The function, h(x) = x³ - 2x² - 4x + 5 has 2 or 0 positive real zeros and exactly 1 negative real zero.

Step-by-step explanation:

Using Descartes' Rule of Signs

For the positive-root case, the sign on x is not changed:

h(x) = x³ - 2x² - 4x + 5

Counting the number of sign changes while ignoring the actual coefficients; there are two sign changes.

Thus, the function, h(x) has 2 or 0 positive real zeros

For the negative root case, h(-x), that is changing the sign on x

h(-x) = (-x)³ - 2(-x)² - 4(-x) + 5

h(-x) = -x³ - 2x² + 4x + 5

Counting the number of sign changes while ignoring the actual coefficients; there is only one sign change.

Thus, the function, h(x) has exactly 1 negative real zero.


Related Questions

Subtract ( -43) from ( -21)

Answers

Answer:

-64

Step-by-step explanation:

-21--43=22

Answer:

22

Step-by-step explanation:

if you are subtracting a minus number it is the same as addition

Pls help. 15 points. For math

Answers

Answer:

y=8x+3

Step-by-step explanation:

Answer:

I think it is the 2 one:) SORRY IF IT'S WRONG!!! :(

Step-by-step explanation:

PLEZZ MARK ME AS BRAINLYEST!! PLEZZ

I AM REALLY SICK SO IF YOU MARK ME AS BRAINLYEST AND GIVE ME FIVE STARS THAT WOULD REALLY MAKE MY DAY!! THANK YOU!!! :)

SORRY I HAVE A MEDICAL CONDITION AND THATS WAY I AM REALLY REALLY SICK!!!!

i need help with this i don’t understand

Answers

Answer:

15

measure of third side is = 25^2 - 20^2

= 625 - 400

= 225

= √225

= 15

hope it helps

Sam has 30.00 in his checking account and earns 8.00 per week as a allowance how many weeks will it take Sam to earn 78.00

Answers

It will take Sam 6 weeks

Answer:

6 weeks

Step-by-step explanation:

end goal = $76

how much he has in the bank = $30

how much he earnes per week = $8

first, subtract 30 from 78 to figure out how much he has left to ear:

$78 - $30 = $48

then take the difference and divide it by 8 since he earned $8 per week:

48 ÷ 8 = 6

It will take him 6 remaining weeks to complete his end goal.

are nike air flights jordan​

Answers

Answer:

the shoes is looking good and it is suparb

A person invests 1500 dollars in a bank. The bank pays 4% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 1800 dollars?

Answers

Answer:

4.6 years

Step-by-step explanation:

We are to calculate the time in years.

The formula is given as:

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after t years = 1800

P = Initial Amount invested = 1500

r = Interest rate = 4%

n = Frequency at which the interest was compounded = Annually = 1

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(1,800.00/1,500.00) / ( 1 × [ln(1 + 0.04/1)] )

t = 4.649 years

Approximately = 4.6 years

Find the answer for m∠EFD

Answers

Given:

In triangle DEF, [tex]DE = EF[/tex] and [tex]m\angle 98^\circ[/tex].

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

[tex]DE = EF[/tex]           (Given)

It means triangle DEF is an isosceles triangle.

[tex]m\angle EDF=m\angle EFD[/tex]           (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

[tex]m\angle DE F+m\angle EFD+m\angle EDF=180^\circ[/tex]

[tex]98^\circ +m\angle EFD+m\angle EFD=180^\circ[/tex]

[tex]2m\angle EFD=180^\circ-98^\circ[/tex]

[tex]2m\angle EFD=82^\circ[/tex]

Divide both sides by 2.

[tex]m\angle EFD=\dfrac{82^\circ}{2}[/tex]

[tex]m\angle EFD=41^\circ[/tex]

Therefore, the measure of angle EFD is 41 degrees.

ARE THESE FUNCTIONS YES OR NO? PLS HELP ME

Answers

Only graph 5 is a function because if you do the vertical line test, you draw a vertical line anywhere on the graph. If the parabola crossed the line twice it would not be a function.
1 - Function
2 - Not a Function
3 - Function
4 - Not a Function
5 - Function
6 - Function

In 4-6, solve each system of equations by using elimination. 4. y - X= 28 y + x = 156​

Answers

Answer: x=−27y−X

Step-by-step explanation:

please help its due in 5 minutes

Answers

Answer: The answer is net B

Step-by-step explanation: If you look at the net it has one rectangle for the base and four triangles for the side. Then when you look at the completed figure the shapes are the same. Also all the other nets have the wrong shapes.

Hope this helps.

(Edit- was lookin at the wrong stuff answer = d lol sorry

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = x^2+ 83x – 609

Answers

Answer:

Step-by-step explanation:

y=x^2+83x-609

dy/dx=2x+83

d2y/dx2=2

Since acceleration is positive, when dy/dx=0, it will be a global minimum. Also since acceleration is a positive constant there is no maximum profit as it is always increasing.

Unless there was a typo in your equation...

Answer: 41.5

for y=-x^2+83x-609 because it appears that there is a typo

pls pls help
A rectangular piece of paper with length 39 cm and width 20 cm has two semicircles cut out of it, as shown below.Find the area of the paper that remains. Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

The area of the piece of paper is 466 cm²

Step-by-step explanation:

First you would want to find the area of the rectangle

39x20=780 cm²

Both semi-circles are the same, so you can just find the area of the whole circle

The diameter is 20 cm so you would use 10 as the radius

A=πr²

A=3.14x10²

A=3.14x100

A=314

Then you have to subtract the area of the circle from the area of the rectangle.

780-314=466

The area of the piece of paper is 466 cm²

can someone pls help need it ASAP
:)
it is not
x=-13.4, y=-3.2

Answers

Answer:

x = -9

y = 2

Step-by-step explanation:

x + y = -7   then x = -y - 7

-x + 4y = 17

substitute for x:

-(-y - 7) + 4y = 17

reduce:

5y = 10

y = 2

x = -2 - 7

x = -9

check:

-9 + 2 = -7

-7 = -7

-(-9) + 4(2) = 17

17 = 17

A right triangle is a triangle that includes one right angle, measuring 90 degrees. It doesn't matter which of the three angles is 90 degrees. As long as one of them is, it's a right triangle.


What does a triangle need to have in order to be a right triangle?
A.two sides of equal length
B.one 90 degree angle
C.one obtuse angle
D.three sides of equal length

Answers

I think the answer is B if it is pls give branliest

Determine the domain of the following graph:
please help help help

Answers

Answer:

The answer is All real numbers

Answer:

[-5, 11]

Step-by-step explanation:

The domain is all the possible x values in a graph. In this case the domain goes from -5 to 11 if I am reading the graph right.

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Answers

anaphase

when replicated chromosomes are split and the newly-copied chromosomes (daughter chromatids) are moved to opposite poles of the cell.
The answer is Anaphase

An online furniture store sells chairs for $150 each and tables for $550 each. Every day, the store can ship at most 32 pieces of furniture and must sell no less than $7200 worth of chairs and tables. If 22 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer: $3,300
Step-by-step explanation:
because each chair costs about $150, and 22 chairs were sold, then the problem is 150x22. And 150x22 is $3,300

Find the value of x and justify your answer

Answers

Answer: your question was to say that you were in the person that was in park today and i got a hold on the door and I got it back to you in the park and then I saw you on the way to your house to see if I was going back to the school to go get home with me so so we could go do that

Step-by-step explanation:

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

pls help me to solve this​

Answers

Answer:

Step-by-step explanation:

I’m not smart

Write -2i + (9 − 3i) − (6 − 10i) as a complex number in standard form.

Answers

Answer:

3+5i

Step-by-step explanation:

-2i+(9-3i)-(6-10i)

expand parenthesis

-2i+9-3i-6+10i

imagine that the i takes place of an x, so you can just add like terms

3+5i

Hope that helps :)

Answer:

Step-by-step explanation:

b/c you can treat the real and imaginary parts separate, you can just add up real and imaginary like terms of expressions

9-6=3

-2i-3i+10i =5i

3+5i  :)

given f(x)=4x^2 and g(x)=-1/5x^2 choose true or false

A f(x) and g(x) have the same axis of symmetry

B f(x) is wider than g(x)

C f(x) is narrower than g(x)

Answers

it is gonna be c trust me I know for a fact

Step-by-step explanation:

Hi...

You ask any irrelevant Question, that is why they get deleted.

The wheels rotate 34 times when he pedals ___times

Answers

Answer:

The wheels rotate 14 times.

Can all polynomials be factored?

Answers

Answer:

yes they can

Step-by-step explanation:

four friends went out for burgers after the basketball game. They split the cost of the bill evenly between them, and each person ending up paying $12. How much was the total bill?

Answers

12 x 4 =48
total bill $48

Answer:48

Step-by-step explanation:12 times 4 is 48

Got some easy questions, to do.

Will give, Branliest.

:) ​

Answers

1.)3

2.)6

3.)9

4.)12

5.)18

6.)?

7.)?

Answer:

a = 27

b = 225

c = no

Step-by-step explanation:

a = 3 multiplied by 9

b = 3 multiplied by 75

c = understand the pattern, then imagine how will it look with 41 beads

PLS HELP. URGENT!!!! I’ll give whatever points

Answers

1. Yes
2.yes
3.yes
4.yes
5. 2=100,3=80

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height. How does the volume of the two prisms compare? Question 6 options: The volume of prism B will triple. The volume of prism B will double. The volume of prism B will decrease. The volume of prism B will be cut in half

Answers

Answer:

The volume of the prism B will double

Step-by-step explanation:

The local library does children's plays every 18 days, and storybook readings every 5 days. If they both start on the first day of the month, how many days will it take for them to happen on the same day again?

Answers

Answer: 90 days

Step-by-step explanation:

Given

Children's play occurs every 18 days

Storybook readings occur every 5 days

Suppose after the first day both will occur after x days

[tex]\Rightarrow x=\text{LCM of }18\ \text{and}\ 5\\\Rightarrow \text{LCM}(5,18)=90\ \text{days}[/tex]

It will take 90 days  to happen again

If your driving 60miles an hour and you drive for 1hour how far do you travel?​

Answers

Answer:

60 miles

Step-by-step explanation:

There are two ways to solve this:

1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.

2. Is the way you should use in the future:

Distance = speed * time

Substitute the speed and times.

Distance = 60 * 1

Thus, you drive 60 miles in one hour

The distance that should be traveled be 60 miles

As we know that

[tex]Speed = \frac{distance}{time}[/tex]

Here

speed be 60 miles per hour

And, the time should be one hour

So, the distance should be

[tex]= 60\ miles\ per hour \times one\ hour[/tex]

= 60 miles

Therefore the distance that should be traveled be 60 miles

Learn more about the distance here:brainly.com/question/23774048

please help if you can?

Answers

Answer and Step-by-step explanation:

The range would be [-5, 0]

This is because the points are included, and this is how far the graph's y-values go.

The range is based of the y-values of the graph, in which it looks for the greatest y value of the graph and the smallest y value of the graph.

#teamtrees #PAW (Plant And Water)

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