Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

Answer:

wat

Step-by-step explanation:

Answer:

To what exactly...?

Step-by-step explanation:

The correct answer is,

[tex] \frac{1}{64} [/tex]

Answer:

1/64

Step-by-step explanation:

when exponents are separated by parentheses, multiply them

so (2³)^-2 = 2^-6

whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive

2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )

The completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula:

(9x^2)^2 - (4y^2)^2

Factor the difference of squares:

(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula again:

(3x)^2 + (2y)^2

(3x)^2 - (2y)^2

Factor the difference of squares:

(3x + 2y)(3x - 2y)

Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Learn more on polynomials here https://brainly.com/question/4142886

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Answer:

mk 50- (7.50x2)

50-15=35

then 1.50 can be shoved in 35.00

a)23

it will only go up to 34.5

Step-by-step explanation:

sorry your answer is a)23

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.

Answer:

Step-by-step explanation:

A)5200*54/12*7.36/100=5440.44

b)5200+5440.4410,640.44

Answer:

a. $1722.24 b. $6922.24

Step-by-step explanation:

for a: 5200*0.0736*54/12= 1722.24

for b: 1722.24+5200= 6922.24

Answer:

488.4 cm²

Step-by-step explanation:

Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H

Where,

B.A = triangular base area = ½*base*height

height = 10.5 cm

base = √(13.7² - 10.5²) = √77.44 = 8.8 cm

B.A = ½*8.8*10.5 = 46.2 cm²

P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33

H = height of prism = 12 cm

Surface area of triangular prism = 2(46.2) + 33*12

= 92.4 + 396

= 488.4 cm²

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

Answer:

They walk 9 laps

Step-by-step explanation:

If the run for 6 laps you need to multiply how many times they walked when they ran for 2 laps by 3 (3*3) which should give you 9

Answer:

5

Step-by-step explanation:

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Answer:

88.50

Step-by-step explanation:

59 divided by 2 (50%) = 29.50

59+29.50=88.50

Answer:

I can not see it well

Step-by-step explanation:

i don't see what your asking but thanxs for the points

i'll give you free point about 40 just look asap because people may snag it

Answer:

1.34

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

The reason why the answer is 21 is because a minus with minus makes a positive.

-2 - -17 - -6

-2 + 17 + 6

15 + 6

= 21

Answer:

The answer is 2592 ft squared

Step-by-step explanation:

Brainliest?

Answer:

The answer is 2592:)

Step-by-step explanation:

The equation is 5x +3 = -37

Subtract -3

5x = -40

Divide 5

x = -8

x = -8

Brainiest please!

Answer:

-8

Step-by-step explanation:

Subtract 3 from -37. Which gives -40. Then you divide that by 5. Which gives you -8.

Answer:

Step-by-step explanation:

To calculate the missing sides square the  side length of the legs of the  triangles(  the lines that form a 90 degree angle) then add them together, then take the sqr root of that to find the hypotunse( the slanted side). In simplier terms, here how it look.

[tex]a^{2}+b^{2} =c^{2}[/tex]

where a and b are the legs, and c is the hypotunese.   For example, Ill do 3. The bases are 22, and 11 so plug them in the equations.

[tex]a^{2}+b^{2} =c^{2}[/tex]

11^2+22^2=c^2

121+484=c^2

605=c^2

c=about 24.6

Answer:

Step-by-step explanation:

Interest in 1 year:

Interest in 5 years:

The difference between 1-year interest and 5-year interest:

Answer:

1000÷11=90.9

So,29th September

Answer:

the other side is 4

Step-by-step explanation: its a right triangle

Step-by-step explanation:

this is my answer if u are asking for the adjacent length...sorry if its wrong

Answer:

−16y+6

Step-by-step explanation:

2(3−8y)

=(2)(3+−8y)

=(2)(3)+(2)(−8y)

=6−16y

=−16y+6

Answer:

6-16y

Step-by-step explanation:

2(3-8y)

distibute 6-16y

Answer:

8x-16

Step-by-step explanation:

multiple the 4 and the -2 by everything in the parentheses beside them then add them together to simplify

Answer:

so i hope im understanding this. for every 1 bouqet there is 4 roses 6 white carnations so the amount of roses in total you will need for the 4 bouques is 16 and the amount of carnations is 24

Step-by-step explanation:

1 b= 4r an 6c   r= roses c=carnations

sooo                        4+4+4+4=16      6+6+6+6= 24

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

1b= 4r 6c

20s + 3m = 73

5s + 17m = 197

Eliminate s terms: Multiply second equation by -4, then add to first equation:

-20s - 68m = -788

 20s + 3m = 73

—————————-

-65m = -715

m = (-715)/(-65) = 11

20s + 3(11) = 73

20s = 40

s = 2

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