Which of the following shows how the expression below can be factored using the
greatest common factor?
6p3 -12 p2 + 9p
A. 3(2p) - 4p? + 3p)
B. 3p(2p2 - 4p + 3)
C. 3p? (2p? - 4p +3)
D. 6p(p²-2p +9)​

Answer:

1,-12

Step-by-step explanation:

The coordinates of D' after translation is (1, -12).

Option B is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

Parallelogram coordinates:

A = (-3, 4)

B = (3, 4)

C = (1, -2)

D = (-5, -2)

Now,

Translation of (x, y) → (x + 6, y - 10) is applied.

This means,

Parallelogram coordinates:

A' = (-3, 4) → (-3 + 6, 4 - 10) = (3, -6)

B' = (3, 4) → (3 + 6, 4 - 10) = (9, -4)

C' = (1, -2) → (1 + 6, -2 - 10) = (7, -12)

D' = (-5, -2) → (-5 + 6, -2 - 10) = (1, -12)

Thus,

The coordinates of D' is (1, -12).

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ2

Answer:

B and D

Step-by-step explanation:

The statement  (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.

A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

We have given dot plot in the picture.

As we can see from the dot plot:

Median for career A = 35

Median for career B = 25

And career B dot plot is more spread.

Thus, the statement  (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.

Learn more about the dot plot here:

brainly.com/question/21862696

#SPJ5

Answer: m>50

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The amount charged by company A (120) must be less (<) than the fixed amount charged by company B (75), plus the product of the cost per mile driven (0.90) and the number of miles driven (m).

120 < 75+ 0.90m

Solving for m:

120-75<0.90m

45<0.90m

45/0.90 <m

50<m

Company A charges less than Company B when m > 50.

Feel free to ask for more if needed or if you did not understand something.

Answer:

141.37 cm^3

Step-by-step explanation:

The volume of the hemisphere is 56.55 and the volume of the cone is 84.82. add them

Answer:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·152≈516.14322

Step-by-step explanation:

Thanks me later

Hope this helps!!!

Answer:

the second one:

tan-1(xdegree)

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

V = LWH

L = 3

W = 6

H = 9

3 * 6 * 9 = 162

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

[tex]7(x + 3)[/tex]

[tex]7(x)+7(3)[/tex]

[tex]7x+21[/tex]

Answer:

7x + 21

Step-by-step explanation:

7 x X=7X

7 x 3=21

Answer:

Slope is 1/2

Step-by-step explanation:

Slope Formula: [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} \\[/tex]

Plug in points: [tex]\frac{4-1}{8-2} =\frac{3}{6}=\frac{1}{2}[/tex]

Answer:

The answer is 28! meaning A.If you need help understanding how I got the answer please let me know and I will gladly explain how I got the answer:)

Answer:

81, x⋅ 3x is your correct answer!

Answer:

Step-by-step explanation:

Well, first of all the shape needs to be a rectangle not a square. And i think you do not understand how coordinates work.

The coordinate (-1, 4). The first number -1 is the number on the x-axis, 4 is the number on the y-axis. Same thing with the other coordinate.

After you put down the two dots, you know that the Perimeter is 24 cm.

P = 2(a + b) = 24 => a+b = 12 => a = 4 => b = 8

The sides are 4 and 8 units long.

Hope this Helps))) ^‿^

Answer:

1/13

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings

P(king) = number of kings / total cards

P (king) = 4/52

             = 1/13

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]1.5(x + 4) - 3 = 4.5(x - 2)[/tex]

[tex]1.5x+6-3=4.5x-9[/tex]

[tex]1.5x+3=4.5x-9[/tex]

[tex]3+9=4.5x-1.5x[/tex]

[tex]12=3x[/tex]

[tex]x=4[/tex]

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]1.5(x + 4) - 3 = 4.5(x - 2) \\ 1.5x + 6 - 3 =4.5x - 9 \\ 6 - 3 + 9 = 4.5x - 1.5x \\ 12 = 3x \\ \frac{12}{3} = \frac{3x}{3} \\ x = 4[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

28

Step-by-step explanation:

base = ( a ) 4

base = ( b ) 3

height = ( h ) 8

A = a + b/2 x h = 4 + 3/2 x 8 = 28

Answer:

[tex]20\pi units^3[/tex]

Step-by-step explanation:

Answer:

V = 62.8 units³

Step-by-step explanation:

Once the area of a circle is:

[tex]A=\pi r^2[/tex]

The volume of a cylinder is:

[tex]V=\pi r^2 h[/tex]

where [tex]h[/tex] is the height of the cylinder.

Once, [tex]r=2 \text{ and } h=5[/tex]

[tex]V=3.14 \cdot 2^2 \cdot 5\\V=3.14 \cdot 20\\V=62.8 \text{ units cubed}[/tex]

Answer:

y = - x +9

Step-by-step explanation:

slope = (9-0)/(0-9) = - 1

line equation : y= mx + c

find c : 9= - 1*0 +c ....... >> c = 9

y = - x +9 ans

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-0)/((0-9))

m=9/(0-9)

m=9/-9

m=-1

y=mx+c

y=-1*x+c

y=-x+c

plug in (9,0) into the equation

0=-1*9+c

0=-9+c

-c=-9

c=9

y=-x+9

you wrote it correctly too, but I think the problem is that it only takes -x not -1x

Answer:

I think it's A) x= - 2

Hope this helps..

The solution of the equation is,

⇒ x = - 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ 3 (4x + 6) = 9x + 12

Now,

Solve the equation as;

⇒ 3 (4x + 6) = 9x + 12

⇒ 12x + 18 = 9x + 12

⇒ 12x - 9x = 12 - 18

⇒ 3x = - 6

⇒ x = - 6/3

⇒ x = - 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer: A

Step-by-step explanation:

Answer:

The explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]

Step-by-step explanation:

Sixth term in a geometric sequence =[tex]\frac{1}{625}[/tex]

Common ratio =[tex]\frac{1}{5}[/tex]

Formula of nth term =[tex]a_n=ar^{n-1}[/tex]

Substitute the values

So,[tex]\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a[/tex]

5=a

Substitute the value in 1

So,[tex]a_n=5(\frac{1}{5})^{n-1}[/tex]

So, Option C is true

Hence the explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]

Answer :)

C is the answer... so yea ★

Answer:

29400

Step-by-step explanation:

Im pretty sure

Answer:

y = 3x^2 is compressed by 3.

As y = x^2 is the parent graph, you can see how big a difference 3 makes.

Hope this helps!

(Red: y = 3x^2)

(Blue: y = x^2)

The transformation for the given function is vertical compression or stretch.

The given functions are y=3x² and y=x².

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The graph for the given functions can be determined as follows

To find the transformation, compare the expression to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Compressed

Therefore, the transformation for the given function is vertical compression or stretch.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ5

Answer:

C

Step-by-step explanation:

< is an open circle and graph C is the only one with an open circle

Answer:

Choice C or the third one down

Step-by-step explanation:

b < 4

There is an open circle at 4 since there is no equals sign

and the lines goes to the left

Answer:

a,c

Step-by-step explanation:

Answer: 5 miles

Step-by-step explanation:

Answer:

x=30°

Step-by-step explanation:

Angles 4x and 2x are supplementary, so 4x+2x must be equal to 180°.

Therefore, to solve this problem, we must use the equation, "4x+2x=180°.

4x+2x=180

6x=180

x=30°

I hope this helps.

Answer:

5/6x = -10

=> 5/6x = -10/1

by cross multiplication

=> 6x × - 10 = 5 × 1

=> 6x = 5 × 1 / -10

=> 6x = 1/-2

=> x = 1/-2 ×6

=> x = 1/-12