According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?

Answers

Answer 1

Answer:

5

Step-by-step explanation:


Related Questions

-1<9+n<17 and graph the answer after

Answers

Answer:

We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

Or we can write as:  [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Step-by-step explanation:

We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.

Solving the inequality

[tex]-1<9+n<17[/tex]

We know that if a<u<b then we can write a<u and u<b

So, we can write

[tex]-1<9+n \:and\: 9+n<17[/tex]

Solving these equations and finding values of n

[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]

So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

We can write it as: -10< n and n<8

Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

simply and write in exponential form
(1) p2*p-7​

Answers

Answer:

[tex] {p}^{2} \times {p}^{( - 7)} = {p}^{(2 - 7)} = {p}^{ - 5}[/tex]

is the right answer.

Joe's paint company is making purple paint. The table below shows the amount of red paint to the amount of blue paint in the mixture write on equation that could be used to determine the number of cups of blue point for ony number of cups of red paint​

Answers

Answer:

for every 4 cups of blue paint there is 1 cup of red paint 4:1

Step-by-step explanation:

Hope this helps :D please mark brainliest

need help with the slope​

Answers

Answer:

for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)

In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003

Answers

Answer:

(c) n = 100, p = 0.2

Step-by-step explanation:

To approximate to use the normal distribution for a binomial, we need that:

[tex]np \geq 10, n(1-p)\geq 10[/tex]

So, for each option

(a) n = 10, p = 0.5

[tex]np = 10*0.5 = 5 < 10[/tex]

So not appropriate

(b) n = 40, p = 0.88

[tex]np = 40*0.88 = 35.2 > 10[/tex]

[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]

So not appropriate.

(c) n = 100, p = 0.2

[tex]np = 100*0.2 = 20 > 10[/tex]

[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]

So appropriate

(d) n = 100, p = 0.99

[tex]np = 100*0.99 = 99 > 10[/tex]

[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]

So not appropriated

(e) n = 1000, p = 0.003

[tex]np = 1000*0.003 = 3 < 10[/tex]

So not appropriate

A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

Given that,

Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

We have to determine,

In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.

According to the question,

Probabilities for a binomial distribution with the given values of n and p.

(a) n = 10, p = 0.5

(b) n = 40, p = 0.88

(c) n = 100, p = 0.2

(d) n = 100, p = 0.99

(e) n = 1000, p = 0.003

To approximate to use the normal distribution for a binomial is given as,

[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]

When n = 10 and p = 0.5,

        [tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 40 and p = 0.88,

        [tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 100 and p =0.2,

        [tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]

The normal distribution is greater than 10 so, this appropriate.

When n = 100 and p = 0.99,

        [tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]

The normal distribution is less than 10 so, this not appropriate.

When n = 1000 and p = 0.003,

        [tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]

The normal distribution is less than 10 so, this not appropriate.

Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.

To know more about Binomial Distribution click the link given below.

https://brainly.com/question/16776778

Need a problem showing how to to divide beach toys into equal groups. Solve it too.

Answers

Answer:

ok

Step-by-step explanation:

11/12 x 6/11 in simplest form

Answers

1/2 is the answer have a good day

you buy a shirt that costs 9.99 dollars what is the price with a tax sales is 6 percent

Answers

Answer:

$10.59

Step-by-step explanation:

6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.

4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?

Answers

Answer:

It will have a 4 and then a five on the top right of it.

Step-by-step explanation:

4^5

Answer:

4^{5}

Step-by-step explanation:

Just basically what the other person said.  

4 exponent 5

xy(a²+1) - a(x²+y²)
Please help me​

Answers

Answer:

a^2 xy+xy-ax^2-ay^2

Step-by-step explanation:

3
Solve for x.
-2x + 6 + 4x = -12

Answers

x=-9

-2x+6+4x=-12
combine like terms
2x+6=-12
subtract 6 from both sides
2x+6-6=-12-6
simplify
2x=-18
divide both sides of the equation
2x/2= -18/2
simplify
x=-9

A snail crawls 9 millimeters per second. How many centimeters can it crawl in 50 seconds?

Answers

Answer:

450 millimeters

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Andrea's dad ran 12 miles and 75 minutes on a treadmill if he runs at that rate how far could he run in 30 minutes

Answers

Answer: 187.5

Step-by-step explanation: Divide 75 by 12 to get 6.25 then multiply that by 30 to get 187.5.

HELP MEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The measure of AEC is 115°.
AED and AEC are supplementary, meaning AED + AEC = 180°
AED + 65° = 180
AED = 115°

Answer:

115

Step-by-step explanation:

since the line of DC has to equal 180 degrees, you take 180 and subtract 65.

180 - 65 =115

Please help!! I am struggling on cross-sections

Answers

Answer:

I don’t know the answer I just need some points to ask more questions !!! have a good day !!

Step-by-step explanation:

Got this one wrong can someone help me solve it

Answers

Answer:

of evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteorites

Step-by-step explanation:

of evidence from seismic waves heat flow in meteoritesof of evidence from seismic waves heat flow in meteorites from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteorites

Step1. Formulate two real-life problems involving system of linear inequalities in
two variables.
Step2. Solve the problems you formulated accurately. Show complete solution then
graph.​

Answers

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What is the value of y
O 12
O 1/3
O 6
O 2

Answers

It’s 6 I think I’m kind of smart so I might be right

Please help. I need to know the answer. I will give brainliest

Answers

9514 1404 393

Answer:

1 4 8 9

Step-by-step explanation:

blank 1

Locate x = 7 and find the y-value where the blue curve crosses.

  f(7) = 1

blank 2

Locate x = -9 and find the y-value where the red curve crosses.

  g(-9) = 4

blank 3

Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.

  f(8) = 0

blank 4

Locate y = 2 and find the x-value where the red curve intersects.

  g(9) = 2

A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25

Answers

Answer:

cannot see equations to select from but I got '7.50 + 1.75x = 42.50'

20 refills

Step-by-step explanation:

7.50 + 1.75x = 42.50

1.75x = 35

x = 35 / 1.75

x = 20

Find the value of x so that the ratios 9 : x and 15 : 40 are equivalent.

Answers

Answer:

x = 24

Step-by-step explanation:

x/9 = 40/15

x/9 = 8/3

x/9 = 24/9

x = 24

Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?

Explain it and answer it please.

Answers

you would pay $10.08 for the game.

you would multiply 28 by the 64% (0.64). when you multiply, you should get $17.92. you take that price and subtract from the initial amount ($28), & you should get the final price which is $10.08 .

Are these correct please help

Answers

Answer:

x=x+1 is correct, -6x=-5(x-1)-1x is correct, 7(x-5)=x+13 is correct, x=x is correct, x+4=x+4 is correct.

5(x+2)=25 should go in one solution.

2x+2=2(x+1) should go into infinite solutions.

2x+3=2x+5 should go into no solution.

9x+1=9x should go into no solution.

2x+8=16 should go into one solution.

3x+1=31 should go into one solution.

Step-by-step explanation:

Explanation(s):

5(x+2)=25:

One value of x will equal 25, which is 3. You can solve this in two ways, calculations or graphing. I will show you both ways. You'll get 5x+10 from 5(x+2). Then you can subtract ten from both sides to isolate x, 5x=15. Then divide both sides by five to find what x equals, which is three. By graphing both the equations 5x+10 and y=25, you'll find that both of the lines intersect at (3,25), the x value of the coordinate is what x will equal, and there's only one intersection so there's only one solution.

2x+2=2(x+1):

The equation will be the exact same on both sides, which means all values of x will be a solution. If you were to graph both equations, they'd overlap perfectly, resulting in an infinite amount of intersections.

2x+3=2x+5:

The equation cannot be simplified any further, and 2x+5 is transformed two units above the equation 2x+3. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.

9x+1=9x:

The equation cannot be simplified any further, and 9x+1 is transformed one unit above the equation 9x. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.

2x+8=16:

Subtract eight from both sides, then divide both sides by two to get x=4. This means that there is only one solution for the equation. Alternatively, you could graph 2x+8 and y=16, and they will intersect at the point (4,16), which is only one solution.

3x+1=31:

Subtract one from both sides, divide by three to get x=10. There is only going to be one solution for the equation. Graph 3x+1 and y=31 to find that both the lines intersect at (10,31).

Find the product of -5 – 4i and its conjugate. The answer is a + bi where

Answers

Answer:

Step-by-step explanation:

(-5 - 4i)(-5 + 4i)

25 - 20i + 20i - 16 i^2

25 + 16

41 + 0i

Given complex number is (-5 - 4i).

Therefore, conjugate of this number will be (-5 + 4i)

[Conjugate of a complex number (a + bi) is (a - bi)]

Multiplication of the number and the conjugate of this number will be,

(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²

                        = 25 - (16i²)

                        = 25 - (16)(-1) [Since, i² = (-1)]

                        = 25 + 16

                        = 41

It can be written in the form a complex form → (41 + 0.i)

Therefore, a = 41 and b = 0.

Learn more,

https://brainly.com/question/1748033

The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?

Answers

The probability of selecting M and T are 4

landscape designer has 4/5 ton of mulch to divide equally among 8 customers. how much mulch will each customer get?

Answers

Answer:

1/10

Step-by-step explanation:

4/5x1/8=4/40=1/10

Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the approximate dimensions of the screen to the nearest foot?

Answers

Answer:

height = 23 ft , Width=43ft

Step-by-step explanation:

Step one:

Given data

Given data

Diagonal = 66ft

Aspect ratio= 19:10

From the formulas below, we can find the dimensions of the theater screen

height = diagonal / √ (AR²+1)

where AR is the aspect ratio

Step two:

height = 66 / √ ((19/10)² + 1) =

height = 66 / 2.9

height = 23 ft

Step three:

Also,

width = AR * height  

width = (19/10) * 22.75

width =1.9* 22.75

Width=43ft

a) Work out the value of angle x.

b) Give reasons for your answer.

Answers

Answer:

60 degrees

Step-by-step explanation:

The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.

//////////////////////////////

Answers

Answer:

27

Step-by-step explanation:

9³÷3³=729÷27

         = 27

Answer:

the answer is 3

Step-by-step explanation:

Find the angles a, b, c and d.

Answers

Answer:a b and c are 6

Step-by-step explanation:

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