NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE answer thoroughly. Chapter 9 part 2

4. How can you determine the maximum number of solutions for a polynomial? How are these counted on the graph?

Answers

Answer 1

9514 1404 393

Answer:

  a) the degree of the polynomial

  b) count the x-intercepts, with attention to multiplicity

Step-by-step explanation:

The Fundamental Theorem of Algebra tells you the number of zeros of a polynomial is equal to the degree of the polynomial. That is, for some polynomial p(x), the number of solutions to p(x)=0 will be the degree of p.

__

On a graph, a real zero of the polynomial will be an x-intercept. The "multiplicity" of a zero is the degree of the factor giving rise to that zero. When the multiplicity is even, the graph does not cross the x-axis at the x-intercept. The greater the multiplicity, the "flatter" the graph is at the x-intercept.

If all solutions (zeros) are distinct, then the number of real solutions can be found by counting the number of x-intercepts of the graph.

_____

By way of illustration, the attached graph is of a 6th-degree polynomial with 6 real zeros. From left to right, they are -1 (multiplicity 1), 1 (multiplicity 2), 4 (multiplicity 3). The higher multiplicities are intended to show the flattening that occurs at the x-intercept, and the fact that the graph does not cross the x-axis where the multiplicity is even.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE Answer Thoroughly. Chapter 9 Part 24. How Can

Related Questions

2sin^2(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Answers

Answer:

x = π/12 and x = π/4.

Step-by-step explanation:

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

2sin^2(2x) - 3sin(2x) + 1 = 0

(2sin(2x) - 1)(sin(2x) - 1) = 0

2sin(2x) - 1 = 0

2sin(2x) = 1

sin(2x) = 1/2

When there is a variable n = π/6, sin(π/6) = 1/2 [refer to the unit circle].

2x = π/6

x = π/12

sin(2x) - 1 = 0

sin(2x) = 1

When there is a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4

Hope this helps!

The capacity of a small container is 380 ml. and the capacity of a big container is 1250 ml. If Akash uses 8 small containers and 1 big container to fill up an empty tank, then what is the capacity of the tank?​ With statements

Answers

Answer:

3290 ml

Step-by-step explanation:

he fills into the tank 8×380 ml and 1×1250ml.

that is all there is to it.

so,

capacity tank = 8×380 + 1250 = 3040 + 1250 = 3290 ml

Terrell loves to listen to music, so he buys a subscription to a music-streaming service. He pays $4.99 each month. How much does the streaming service cost per year?

Answers

Answer:
$59.88

Solving Steps:
So $4.99 each month. There are 12 months in a year so you have to times $4.99x12. This is $59.88 which is the answer.

How much state tax is withheld from $36,200 if the tax rate is 4%?

Answers

Answer:

$1448

Step-by-step explanation:

Tax=rate*amount=(4/100)*36200=1448

A nurse is preparing to administer cefaclor 40 mg/kg/day PO divided in equal doses every 8 hr to a child who weighs 48 lb. Available is cefactor
suspension 375 mg/5 ml. How many mL should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it
applies. Do not use a trailing zero.)

Answers

This question is solved by proportions.

Step 1:

A nurse is preparing to administer cefaclor 40 mg/kg/day.

This means that the first step is finding the baby's weight in kg.

The child weighs 48lb. Each lb has 0,453592kg.

So the child weighs 48*0.453592 = 21.7724kg.

Step 2:

Here, we find the daily dose.

For each kg, the baby is administered 40 mg.

Since the baby weighs 21.7724 kg, the daily dose is of 40*21.7724 = 870.896 mg.

Step 3:

Here, we find how many mL in a day.

For 375 mg, 5 mL are administered. How many mL for 870.896 mg?

375 mg - 5 mL

870.896 mg - x mL

Applying cross multiplication:

[tex]375x = 5*870.896[/tex]

[tex]x = \frac{5*870.896}{375}[/tex]

[tex]x = 11.6[/tex]

Step 4:

Here, we find how many mL per dose.

Equal doses every 8 hours, so 24/8 = 3 doses per day.

11.6/3 = 3.9

Thus, the nurse should administer 3.9 mL per dose.

For more on proportional variables, you can check https://brainly.com/question/23536327.

Answer:

x = 3.9 ml  quantity of ml / dose

Step-by-step explanation:

The child weighs 48 lbs.

Then the weigh in kgs is  48 * 0.454 = 21.792 kgs  (since 1000 lbs = 454 kgs)

If the nurse has to prepare doses according to 40 mg/kg/day then for a child of 21.792 kgs it is needed  21.792*40 mg or 871.68 mg/day, and the fact that he or (she) need to take three doses then each dose will be  of

871.68/3 = 290.56 mg

So far we know that each dose should contain 290.56 mg, now we have the cefactor in a suspension wich density is 375 mg/5 ml or 75 mg/ml

Then by rule of three

if              75  mg     ⇒   1 ml

        290.56 mg     ⇒     x (ml)

x = 290.56/75  ( mg*ml)/ mg

x = 3.87 ml round to the nearest tenth

x = 3.9 ml


prove it using mathematical induction

Answers

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

5 5 I think of a number, treble it then add on 3, the result is equal to 6. Find the value of the original number I thought of.​

Answers

Let the number be x

If 3 is added to tripple the number then the result is 6

[tex]\\ \sf\longmapsto 3x+3=6[/tex]

[tex]\\ \sf\longmapsto 3x=6-3[/tex]

[tex]\\ \sf\longmapsto 3x=3[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

The number is 1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the volume of the following figure round your answer to the nearest tenth if necessary

Answers

Answer:

5.3

Step-by-step explanation:

2×2×4/3

= 5.3 (rounded to the nearest tenth)

Translate the sentence into an equation.

Four times the sum of a number and 7 equals 3

Answers

Answer:

[tex]4(x+7)=3[/tex]

Step-by-step explanation:

Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign

Hope this helps!

- doomdabomb

GIVEN THAT GENERAL TERM =7n+4
evaluate sum of 5th termand 6th term

Answers

Answer:

general term - 7n+4

5th term - 7(5) + 4 = 39

6th term - 7(6) + 4 = 46

The area of a parallelogram is 60 f2.
The height is 5 ft. How long is the
base?

Answers

Answer:

12 feet

BRAINLIEST, PLEASE!

Step-by-step explanation:

Area = base x height

60 = base x 5

base = 60/5

base = 12

Helppppppp
What’s is the equation of the new function?

Answers

Answer:

C

Step-by-step explanation:

If the graph is shifted 10 units down, the equation will be sqrt(x) + 10

What are the coordinates of point S"?

Answers

Answer:

point s: (-2,6)

-2 is the x coordinate

6 is the y coordinate

Of every 300 magic cakes Farah makes, 90 are chocolate, what percentage of chocolate cakes Farah makes?

De cada 300 pasteles mágicos que hace Farah, 90 son de chocolate, ¿qué porcentaje de pasteles de chocolate hace Farah?

Answers

Answer:

Total magic cakes =300

chocolate cakes =90

so if you want the percentage of chocolate you will divide the number of chocolate cakes over the total number of chocolates

% of chocolate cakes = 90/300×100%

=30%


Differentiate y=2x+200/x with respect to x

Answers

Answer:

Hello,

[tex]\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Step-by-step explanation:

[tex](f(x)+g(x))'=f'(x)+g'(x)\\\\(2x)'=2*(x)'=2*1=2\\\\(\dfrac{200}{x} )'=200*(x^{-1})'=200*(-1)*x^{-1-1})=-\dfrac{200}{x^2} \\\\\\\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Answer:

[tex] \frac{dy}{dx } = 2 - \frac{200}{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex]the \: equation \: can \: be \: rewriten \: as \\ y = 2x + 200 {x}^{ - 1} \\ \\ now \: differentiate \: the \: equation\ \\ \frac{dy}{dx} = 2 - 200 {x}^{ - 2} \\ \frac{dy}{dx} = 2 - \frac{200}{ {x}^{2} } [/tex]

The distribution of SAT scores is approximately normal with a mean of 1500.
If 1628 is the 90th percentile, what is the standard deviation?

Answers

Answer:

Hello,

Answer

[tex]\sigma=457,95...[/tex]

Step-by-step explanation:

p(z<a)=0.9

p(z<1.29)=0.9015

p(z<1.28)=0.8997

using linear interpolation: with 4 decimals

p(z<1.282)<0.9

[tex]\dfrac{1628-1500}{\sigma} =1.282\\\\\sigma =\dfrac{1628-1500}{1.282}\\\\\sigma=457,95...\\[/tex]

Find the value of x and y is (3x_6) (12,y-1)​

Answers

Answer:

x=4

y=7

Step-by-step explanation:

12=3x

x=4

6=y-1

y=6+1

y=7

Answer:

x=4

Step-by-step explanation:

Write the equation in standard form.
x2 + 6 = 5x

Answers

Answer:

Step-by-step explanation:

x2 + 6 = 5x

2x-5x = -6

3x = -6

x = -6/3

x = -2

Answer:

[tex]x^{2} -5x + 6 =0[/tex]

Step-by-step explanation:

PLEASE HELP!!!
The following data are the distance from the workplace ( in miles) for the 5 employees of a small business.

10,17,12,14,12

Assuming that these distance constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.​

Answers

Answer:

stdev= 2.366431913

Step-by-step explanation:

10  stdev= 2.366431913

17  

12  

14  

12  

what is the lub of 0.2,0.23,0.234,0.2343,0.23434,0.234343​

Answers

Answer:

The lub is 0.2343, while the glb is 0.2

Step-by-step explanation:

btw the 43 seems to be repeating for the lub.

Have a good day!

the product of two rational number is _______ number
give answers this question​

Answers

Answer:

rational number

Step-by-step explanation:

multiplying two rationals is the same as

multiplying two such fractions, which will

result in another fraction of this same form

since integers are closed under

multiplication. Thus, multiplying two rational numbers produces another rational number.

"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020

Laxman and Virat together can complete a piece of work in 8 days and Laxman alone can complete it in 12 days in how many days would Bharat alone complete the work​

Answers

Answer:

14 days

Step-by-step explanation:

8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D. (0.6) E. (4.4) F. (1,5)​

Answers

9514 1404 393

Answer:

  D.  (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

  d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

  x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

__

The sum of squares in each case is ...

  A. 3² +0² = 9 . . . inside the circle

  B. 4² +2² = 20 . . . inside the circle

  C. 5² +3² = 34 . . . inside the circle

  D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

  E. 4² +4² = 32 . . . inside the circle

  F. 1² +5² = 26 . . . inside the circle

Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)​

Answers

Answer:

4(4x-16)

Step-by-step explanation:

If you like my answer than please mark me as brainliest

It’s 4(4x-4)
Using the distributive property you would take the 4 outside of the parentheses, and multiply it by the 4x and then by the -4 inside the parentheses. 4•4x=16x. 4•-4=16 (remembering that a negative times a positive is still a negative)

Consider the graph of the quadratic function. Which
interval on the x-axis has a negative rate of change?
3
0-2 to-1
2
O -1.5 to 0
O 0 to 1
-3
-2
21
2
3
x
О 1 to 2.5

Answers

Answer:

1 to 2.5

Step-by-step explanation:

A negative rate of change requires the instantaneous slope to be negative, and the interval from 1 to 2.5 is the only place segment where that can happen.

Amy, Hong, and David have a total of $102 in their wallets. Amy has $6 less than Hong. David has 4 times what Hong has. How much does each have?

Answers

Answer:

12,18, and 72 respectively

Step-by-step explanation:

102=A+H+D

A+6=H

D=4H=4(A+6)=4A+24

102=A+H+D=A+A+6+4A+24

102=6A+30

6A=72

A=12

H=18

D=72

Is speed the rate of change in the velocity of a moving body?

Answers

No, speed is the rate of change of distance.

Velocity is the rate of change of displacement.

Distance is scalar quantity, it has just magnitude.

Displacement is vector quantity, it has both magnitude as well as direction. So, speed and velocity are scalar and vector respectively too.

QUESTION 4
Convert 4% to a decimal I

Answers

Answer:

0.04

Step-by-step explanation:

hope this helped

00.4 your moving your decimal over one place and its only remaining as 4%

How many real solutions does this system of equations have? x2 +3 = y
3х — у+1 = 0

Answers

Answer:

Step-by-step explanation:

y = x²+3

y = 3x+1

x² + 3 = 3x +1

x² - 3x + 2 = 0

(x-2)(x-1) = 0

x = 2, 1

Two solutions

(2,7) and (1,4)

Name the number that is
represented by the letter Y.
Y
Z
WVX
+
-10 -5
+
5
0
10

Answers

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

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