Use the remainder theorem to determine if x = 2 is a zero of the following polynomial, and find the quotient and the remainder.
p(x) = x3 + 24x2 + 108x - 320

Answer:

7.25

Step-by-step explanation:

36.25/5=7.25 simple

Step-by-step explanation:

cost of 5 scarf = 36.25

cost of one scarf = 36.25/5

= 725/100

= 7.25 $

so one scarf cost = 7.25$

plz mark my answer as brainlist plzzzz vote me also and hope this helps you ...

Answer:

$54.19

Step-by-step explanation:

Answer:

(f · g)(x) = 4x³ + x² - 20x - 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 1

g(x) = x² - 5

(f · g)(x) is f(x)g(x)

Step 2: Find (f · g)(x)

We know that,

[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]

By substituting values :

[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]

[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]

[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]

[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]

Hence, answer is :

[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((22•3x2) +  52x) -  9

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  12x2+52x-9  

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +52x  its coefficient is  52 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   12 • -9 = -108  

Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is   52 .

     -108    +    1    =    -107  

     -54    +    2    =    -52  

     -36    +    3    =    -33  

     -27    +    4    =    -23  

     -18    +    6    =    -12  

     -12    +    9    =    -3  

     -9    +    12    =    3  

     -6    +    18    =    12  

     -4    +    27    =    23  

     -3    +    36    =    33  

     -2    +    54    =    52    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54  

                    12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x-1)

             Add up the last 2 terms, pulling out common factors :

                   9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

                   (2x+9)  •  (6x-1)

            Which is the desired factorization

HOPE IT HELPS! :))

Answer:

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

ASA requires two angles and the side that lies between them. The list below is a list of such. (The ends of the segments are the vertices of the angles.)

Answer:

Step-by-step explanation:

7x=14

X=2

Answer: 24

Step-by-step explanation:

Okay, so if the part-time designer gets 200 dollars per week, we should subtract 200 by 800.

800 - 200 = 600.

Then we divide 600 by 25, and that will be the amount of completed designs we'll be able to have each week.

600 ÷ 25 = 24.

So in conclusion, you can pay the designer $200 per week and get 24 completed designs from him.

Hope this helps!

Answer:

13

Step-by-step explanation:

you have to do 8 times 4 minus 19

hope this helps dont 4get to like and star

-mercury

Answer:

13

Step-by-step explanation:

Given

8h - 19 ← substitute h = 4 into the expression

= 8(4) - 19

= 32 - 19

= 13

Answer:

4

highest power is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

I think B or C

Step-by-step explanation:

I think B or C because it is the closest to 52.8.

Hope this helps you.

The answer is B

Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.

Answer:

Where's the prism? ＞︿＜

Step-by-step explanation:

Answer:

y = - [tex]\frac{15}{74}[/tex]

Step-by-step explanation:

Given

- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )

- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y

Multiply through by 20 ( the LCM of 10 and 4 )

- 74 = 15y ( divide both sides by 15 )

- [tex]\frac{74}{15}[/tex] = y

Complete question :

Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has

Answer:

9 marbles

Step-by-step explanation:

Let The number of marbles she has = x

3 times the total - 7 = 20

That is ;

3x - 7 = 20

3x = 20 + 7

3x = 27

x = 27/3

x = 9

Number of marbles she has = 9

Answer:

AAS

Step-by-step explanation:

Answer:

3.32,3.325,335,7320

Answer:

3.32, 3.325, 335, 7,320

Hope it helps

Step-by-step explanation:

Step-by-step explanation:

Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.

Answer:

Step-by-step explanation:

55

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

Answer:

Rs. 3923.08

Step-by-step explanation:

First principal invested = Rs. 10000

Interest rate = 5%

The interest is compounded yearly.

Time = 1 year

1 year compound interest is equal to simple interest.

Formula for simple interest:

[tex]SI = \dfrac{PRT}{100}[/tex]

Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]

Another sum is on fixed deposit 8% compounded half yearly.

Let the sum = Rs [tex]x[/tex]

Formula for compound interest is given as:

[tex]CI = P(1+\frac{R}{100})^T - P[/tex]

It is compounded half - yearly, therefore T = 2

[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]

As per question statement:

[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]

Answer:

b

Step-by-step explanation:

2x+3y=5        rearrange   2x=5-3y  times all by 2    4x=10-6y

4x-3y=1                              4x=1+3y

1+3y=10-6y           6y+3y=10-1        9y=9     y=1

4x-3(1)=1      4x=1+3   4x=4          x=1

Answer:

B

Step-by-step explanation:

2x+3y=5

(2×1)+(3×1)==5

2+3=5

(4×1)-(3×1)=1

4-3=1

Answer:

BH = 16

Step-by-step explanation:

The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.

That means that BH is 2/3 of the length BF.

BH = (2/3)(BF)

BH = (2/3)(24)

BH = 16

Answer: 2/7

Step-by-step explanation: if there are 7 cards and two of them are purple, we can show this as 2/7

Answer:

im pretty sure its the second one

Answer:

7

Step-by-step explanation:

See attachment for math work. I did number 3 only.

Answer:

DF = 2

Step-by-step explanation:

Formula for degree of freedom is;

DF = n - 1

Where n is sample size

In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.

DF = 3 - 1

DF = 2

Thus, degree of freedom value would be 2