Factor completely the given polynomial
x(x + 20) + 11(x + 20)

x(x + 20) + 11(x + 20)=

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                 4       2     -2

   -------------------------------

         2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                  -2    1

    ---------------------

            2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

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Answer:D

Step-by-step explanation:

Answer:

19,000 pa.

Step-by-step explanation:

I hope this helps

Answer:

98

Step-by-step explanation:

Given: The ratio of dimes to quarters in a money bag is 12.2

Also, there are 8 quarters.

To find: Number of dimes

Solution:

Number of dimes : Number of quarters = 12.2

Number of dimes : 8 = 12.2

Therefore,

Number of dimes = 12.2 × 8 = 97.6 ≈ 98

Answer:

y = 1

Step-by-step explanation:

Substitute -10 for x so the equation would be y=2/5-10-3

that would then be y=4-3

which would equal 1

Answer:

6

Step-by-step explanation:

Just write the amount of milk cartons and juice cartons as a fraction and simplify it

39/18 the biggest common divisor for this is 3 so we divide the fraction by 3

13/6 x = 6

Answer:

2

Step-by-step explanation:

√(-8-8)^2 +(10+4)^2=

✓-32+28

✓4

=2

Answer:

1310

Step-by-step explanation:

Answer:

7.63

(Hope this helps! Btw, I am the first to answer.)

Answer:

Step-by-step explanation:

Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.

(-1 , -12)

(9 , -12)

(4, -17)

(4, -7)

Answer:

P(-6)

Step-by-step explanation:

1.P (-6) 2. Q (-2) 3. R (1) 4. S (5)

The absolute value of a number disregards ir removed the negative sign from the number and treats as positive.

The absolute value of the numbers given in the option above :

P(-6) = |6|

Q(-2) = |2|

R(1) = |1|

S(5) = |5|

Hence, the option which has the greatest absolute value when arranged on a number line is |6|

Complete Question:

Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.

Order the values of the differences from least to greatest.

Student: Raj. Difference (in.): 4/5

Student: Clara. Difference (in.): -1 1/2

Student: Jacob. Difference (in.): 0.9

Answer:

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

The greatest is: 0.9

By student names: Clara, Raj and Jacob

Step-by-step explanation:

See comment for complete question

Given

Differences:

[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

Required

Order from least to greatest

We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]

First convert fractions to decimal

[tex]\frac{4}{5} = 0.8[/tex]

[tex]-1\frac{1}{2}= -1.5[/tex]

[tex]-\frac{3}{4} = -0.75[/tex]

So, the differences become:

[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]

Now arrange from least to greatest

[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]

From the above representation,

The greatest is: 0.9

By student names, we have:

Clara, Raj and Jacob

This is done by simply replacing the numbers with the student name.

See attachment for number line

Answer:

4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob

Step-by-step explanation:

Answer:

sumando

Step-by-step explanation:

sumando 240 134800 veces

Answer:

7/12

Step-by-step explanation:

You need to get -7 to be a positive number so that its zero

-7+7=0

Then just add the denominator!!!

0/12=0

I hope this helps!!!!

Answer:

Red paint needed = x = 17.5 ounces

Step-by-step explanation:

Ratio of red to blue paint = 5 ounces : 6 ounces

If she has 21 ounces of blue paint, how much red paint will she need?

Ratio of red to blue paint = x ounces : 21 ounces

Equate the ratios

5 : 6 = x : 21

5/6 = x/21

Cross multiply

5*21 = 6*x

105 = 6x

x = 105/6

x = 17.5 ounces

Red paint needed = x = 17.5 ounces

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

Answer:

D because non of them work lol

Step-by-step explanation:

Hope this Helped

Answer:

6

Step-by-step explanation:

Mavi kalemlerin sayısına x diyoruz

Kutudaki kalemlerin sayısı mavi kalemlerin sayısından 48 fazlaymış yani x+48 kutudaki kalemlerdir.

Kutudaki kalemlerin sayısı mavi kalem sayısının 9 katı ise x+48=9x olur

Şimdi denklemi çözmemiz lazım sol taraftaki x sağ tarafa - x olarak geçer sağ tarafda 8x kalır yeni denklemimiz 48=8x olur

Her iki tarafı da bilinmeyenin yanındaki sayıya böleriz bunun sonucu da 6=x çıkar

Mavi kalemlere de x demiştik yani 6 adet mavi kalem vardır.

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]

= [tex](\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )[/tex]

= [tex](\frac{-2}{2},\frac{-2}{2})[/tex]

=(-1,-1)

Use the formula and plug it in :)

Answer:

t = 10h +25

Step-by-step explanation:

let x be the one-time fee

hourly rate is $10

From given condition,

35 = x + 10*1

x = 35 - 10

x = 25

Therefore equation will be

t = 10h +25

Answer:

1,73205

Step-by-step explanation:

First, count out the five decimal places, and then look at the sixth place:

[tex]\sqrt{3}[/tex] ≈ 1,73205 | 0807...

The sixth decimal is less than 5, so we round to the smaller side.

Answer:

(x)4

Step-by-step explanation:

(x) is the amount of weeks and 4 is the amount of money that is saved every week.

Answer:

C.15 km/h

Step-by-step explanation:

speed= distance/time

Step-by-step explanation:

We have (x + y)² = (x + y)(x + y) = x² + 2xy + y².

Let x be 3a and y be 2.5b.

Therefore (3a + 2.5b)²

= (3a)² + 2(3a)(2.5b) + (2.5b)²

= 9a² + 15ab + 6.25b².

Hence the '*' sign should be replaced with 15ab.

Answer:

Given that, ( 3a + 2.5b )² = 9a² + 6.25b² + *

We know that, ( x + y )² = x² + y² + 2xy

According to the above problem, we get

( 3a + 2.5b )² = (3a)² + (2.5b)² + (2×3a×2.5b)

( 3a + 2.5b )² = 9a² + 6.25b² + 15ab

Therefore,

The sign " * " should be 15ab.

Answer:

35,.......,..............

Answer:

one direction

Step-by-step explanation:

of course one direction

Answe

7

Step-by-step explanation:

204 dived by 3.5

i did 204 dived by 60 then

420 dived by 60

The time taken by the family to reach is T = 7 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed be represented as S

Now , the value of S is

S = D / T

speed = distance / time = 204 miles / 3.4 hours = 60 miles per hour

where , the distance D = 420 miles

And , T = 420 / 60

T = 7 hours

Hence , the time taken for 420 miles is 7 hours

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Answer:

The third option

Step-by-step explanation:

60+y=180

y=120

Answer:

y = 120

Step-by-step explanation: