Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3

The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.

Area of the potato field = length * width

Length = x^2 + 7x + 12

Width = x + 6

Substitute into the formula to get the required polynomial

Area of the potato field = (x^2 + 7x + 12)(x+6)

Area of the potato field = x^3+6x^2+7x^2+42x+12x+72

Area of the potato field = x^3 + 13x^2 + 54x + 72

Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72

Learn more on polynomial expression here: https://brainly.com/question/21534285

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

Answer:

x = 10

y = 1

DE = 7

AC = 14

Step-by-step explanation:

x + 2 = 24/2

x = 12 - 2

x = 10

y + 6 = x - 3

y = 10 - 3 - 6

y = 1

Answer:4799,2475,4941,

Step-by-step

I'm not sure,

but I solved replace the given numbes

For first, (2×27+5)(3×27-15)=4799, for second (2×20+5)(3×20-15)=2475

For third(2×38+5)(3×38-15)=4941

Answer:

3421

Step-by-step explanation:

3421 the order the tiles are in

Answer:

x = 2

y = -7

Step-by-step explanation:

First, we see that all the terms in the first equation can be divided by 7:

-x + y = - 9

Then we solve for x by adding adding x and 9 to both sides:

-x + x + y + 9 = -9 + 9 + x

it cancels out to:

y + 9 = x

Now, replace x in the second equation with (y + 9):

28(y + 9) - y = 63

Now simplify:

28(y) + 28(9) - y = 63

27y + 252 = 63

27y = 63 - 252

27y = -189

y = -7

Plug in the value for y in the equation for x:

y + 9 = x

-7 + 9 = x

x = 2

Answer:

-7x +7y = -63(i)

28x -y = 63 (ii)

Divide eq(i) by 7

-x + y = -9 (iii)

28x -y= 63 (ii)

Add (iii) and ii

-x + y = -9

28x - y = 63

------------------------

-x +28x +0 = -9 +63

27x = 54

●x = 2

Put x=2 in any eq..

Lets put in eq[i]

-7 (2) + 7y =-63

-14 + 7y = -63

7y = -63 +14

7y=49

●y=7

BRAINLIST PLS

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

Answer:

3:5

Step-by-step explanation:

ratio!

Answer:

4 i am not sure for this answer guess

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

7 Mathexcellup logo

I answered the question and got it right.

The answer is communitive property.

Answer: 3

Step-by-step explanation: Did it recently.

Answer:

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps

Answer:

Step-by-step explanation:

The given triangle has:

The ratio (slope) is:

For any triangle using same line the proportion is:

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

Answer:

could I get a picture plz

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

Answer:

it should be C I guess.

Im sorry if it is wrong

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

Learn more in https://brainly.com/question/1978633

Answer:

Step-by-step explanation:

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

Answer:

10

Step-by-step explanation:

Fatima wrote down 3 square numbers

since we don't know the three square we will represent it by any variable (X)

3x=30

so you divide both sides by 3

so we have 3x/3=30/3=10

therefore the answer is 10

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

1 + 4 + 25 = 30

The three square numbers are 1, 4, and 25.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

We can take three squares.

1 + 4 + 25 = 30

This is a perfect case.

Thus,

The three square numbers are 1, 4, and 25.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Step-by-step explanation:

In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.

In a division problem such as 15 ÷ 3 = 5:

Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.

1.) 15 ÷ 3 = 5 ⇒ "There are 5 equal groups of 3."  

If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.  

2.) 45 ÷ 5 = 9 ⇒ "There are 9 equal groups of 5."  

      9 equal groups of 5 = 9 × 5 = 45.

3.)   8 ÷ 4 = 2 ⇒ "There are 4 equal groups of 2."  

      4 equal groups of 2 = 4 × 2 = 8.

4.) 18 ÷ 6 = 3 ⇒ "There are 3 equal groups of 6."  

      3 equal groups of 6 = 3 × 6 = 18.

Answer:

134.3

Step-by-step explanation:

In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.

[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]

You now need to find XW.

In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.

Using the Law of Sines in triangle XYZ,

[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]

Put that into the equation for XW above...

[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]

A calculator shows that this is approximately 134.3

Answer:

11/30

Step-by-step explanation:

Let x = 0.366666666.....

Then

100x = 36.6666666....

10x =     3.6666666...

subtracting 100x - 10x eliminates the trailing 6s

90x = 33

divide both sides by 90

x = 33/90

reduce

x = 11/30