Find the greatest common factor of these three expressions.

12v2, 30v, and 42V4

Answers

Answer 1

The greatest common factor between the expressions is 6v.

How to find the greatest common factor?

We have the expressions:

12v^230v42v^4

We can see that the smallest power of "v" is 1, and it appears on the second expression, so the greatest common factor will be a number times v.

To get the number, we need to find the greatest common factor between the 3 coefficients.

12, 30, and 42.

Rewriting these 3 numbers we can see that:

12 = 2*2*3

30 = 2*3*5

42 = 2*3*7

In all the cases we can see that the factor 2*3 appears, so that is the greatest common factor between the coefficients.

So we can conclude that the greatest common factor between the expressions is:

2*3*v = 6v

And we can rewrite:

12v^2 = (6v)*(2v)30v = (6v)*(5)42v^4 = (6v)*(7v^3)

If you want to learn more about common factors, you can read:

https://brainly.com/question/219464


Related Questions

(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.

Answers

Answer:

so i dont know the answer but i know that if u are determining the surface are then u should multiply two times and then divide once

Step-by-step explanation:

so 10 times 8 times 8 =640

~emmitheblackcat~

The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.

What is the area?

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The surface area of the pyramid is given as,

A = 4 (Area of triangle) + Base area

A = 4 x (1/2 x 10 x 8) + 8 x 8

A = 160 + 64

A = 224 square millimeters

The surface area of the pyramid will be 224 square millimeters. The graph is labeled below.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ2

how many times greater is 7¹² than 3.5⁹​

Answers

Answer:

7^12= 13841287201

3.5^9= 78815.6386719

Divide: 13841287201/78815.6386719= 175616

7^12 is 175616 times greater than 3.5^9

What is the area of this quadrilateral
A. 42 square feet
B. 30 square feet O
C. 36 square feet
D. 12 square feet​

Answers

Answer:

A

Step-by-step explanation:

You start with the rectangle. The formula is l×w.

10× 3=30

You move on to the triangles.

the formula is 1/2bh.

3×4=12

12/2=6

you add all of the values together

30+6+6=42 square feet

Solve by factoring 6p^2 - 13p + 6 = 0

Show all work below

Answers

Answer:

p = 3/2 ; p = 2/3

Step-by-step explanation:

Problem 2.2

A company bought a milling machine for $ 100,000. The company intends to use the machine for the next 5 years. The machine is expected to save the company $ 42,000 during the first year of operation. Thereafter annual savings are expected to decrease 3% each year due to maintenance costs. Assuming 4,000 hours of operation per year and that the machine will have no “Salvage Value” at the end of the 5 years, determine the equivalent savings per hour of operation at 14% compounded annually.

Answers

Answer: A, your mom
Explanation:

A box of trading cards costs
$5.50. Michael wants to purchase
3 boxes. How much money does
Michael need?

Answers

Answer: He needs $16.50

Step-by-step explanation:

5.50*3 = 16.50

This data set represents the number of cups of flour used in different recipes. What is the mean of this data set? {1/2, 1/3, 2/3, 1 1/2} Enter your answer as a fraction in simplest form in the box. ​

Answers

Using it's concept, it is found that the mean of the data-set is of [tex]\frac{3}{4}[/tex].

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 4 observations are given by:

[tex]\left{\frac{1}{2}, \frac{1}{3}, \frac{2}{3}, 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2}\right}[/tex]

Hence, the mean is given as follows:

[tex]M = \frac{\frac{1}{2} + \frac{1}{3} + \frac{2}{3} + \frac{3}{2}}{4} = \frac{\frac{3 + 2 + 4 + 9}{6}}{4} = \frac{18}{24} = \frac{3}{4}[/tex]

The mean of the data-set is of [tex]\frac{3}{4}[/tex].

More can be learned about the mean of a data-set at https://brainly.com/question/24628525

*WILL MARK BRANLIEST PLEASE ANSWER*
Guys what is the perimeter?
-PHOTO INCLUDED-

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Perimeter of a triangle = sum of measures of each side ;

[tex] \qquad \rightarrow \sf p = 9 \: ft + 8y + 14 \: ft[/tex]

[tex] \qquad \rightarrow \sf p =23 \: ft + 8y[/tex]

Perimeter = 9+8+14
=31

There are 8 bags of yellow and green balloons. Each bag contains 9 balloons.
How many total balloons are there in total?

Answers

Answer:

72

Step By Step Explanation:

Kara opens a savings account with
$500. She makes no changes to this
account for 2 years. Her account has a
compound interest rate of 3% per year,
compounded annually. What will be the
total amount in the account at the end
of the 2 years?

Answers

Answer:

470

Step-by-step explanation:

6% of 500 is 30 minus 500 u 470

I've done the method I'm good at, but can't seem to get the answer.

Answers

Answer:

0.42484

Step-by-step explanation:

Which graph shows the solution set for 2x + 3 > -9?

Answers

Answer:

Last one

Step-by-step explanation:

Simplify the inequality

2x + 3 > -9

Subtract 3

2x > -12

Divide by 2

x > -6

The last one shows x > -6 so it's the correct answer.

the area of rectangle is x²+5x-36 sq. unit. its length and breadth is reduced by 2/2units. find new area of rectangle​

Answers

Step-by-step explanation:

length × breadth = x² + 5x - 36

let's find, what expression was multiplied by what expression to give that result.

first we see, we have a pure x² term.

so, both start with (x + ...) or (x - ...).

then we see the last (constant) term -36.

so, we have a

(x + a)(x - b)

situation.

36 is the product of

6×6

9×4

12×3

18×2

the term +5x tells us that the difference between a and b must be 5. and a as the positive number must be bigger to give us the "+" (the multiplication contains "... + ax - bx ...").

and that means a = +9, b = -4

so, the original area calculation was

(x + 9)(x - 4) = x² + 5x - 36

when we decrease both factors by 2, we get

(x + 9 - 2)(x - 4 - 2) = (x + 7)(x - 6) = x² + x - 42

that is the new area of the rectangle.

A boat travels 300.4 kilometers in 11 hours (with a constant speed) how much time will it take traveling 240 kilometers

PLS HELPPPPP​

Answers

Answer:

The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour,  So it would take 240 / 27.30909091 hours or 8.78828229 hours.  (Which rounds off to 8.79 hours)

Step-by-step explanation:

1 or 2 days I should be because it says 240!

The distance between City A and City B is 250 miles. A length of 1.6 feet represents this distance on a
certain wall map. City C and City D are 2.24 feet apart on this map. What is the actual distance
between City C and City D?

The actual distance between City C and City D is ? miles

Answers

Answer:

Y = city C - city D = 2.24 ft

2.24 ft / (1.6 ft / 250 mi) = 350 mi  distance between C and D

Note: 250 mi / 1.6 ft = 156.25 mi / ft

156.25 mi / ft * 2.24 ft = 350 mi

What is the slope of the line through (-5, -10) and (-1, 5)?

Answers

[tex] the \: slope \: is \: \frac{15}{4} \: or \: 3.75 \\ \\[/tex]

[tex]using \: the \: slope \: fourmula \: = \\ \\ m = \frac{y {}^{2} }{x {}^{2} } - \frac{y {}^{1} }{x {}^{1} } \\ \\ plugging \: in \: our \: points \: = \\ \\ m = \frac{5}{ - 1} - \frac{ - 10}{ - 5} \\ \\ = \frac{5}{ - 1} + \frac{10}{5} \\ \\ [/tex]

[tex] = \frac{15}{4} \\ \\ = 3.75[/tex]

I HOPE IT HELPS YOUPLEASE MARK ME BRAINLIEST:)

Simplify this expression 14x + 5y - 8x - 9y

Answers

Answer:

6x - 4

Step-by-step explanation:

14x + 5y - 8x - 9y

Simplify by combining like terms:

14x - 8x + 5y - 9y

= 6x + 5y - 9y

= 6x - 4

hope this helps!! p.s. i really need brainliest :)

Find the area of each figure in square units.

show work

and explain how you got your answer

Answers

Answer:

  20 square units

Step-by-step explanation:

The area of a parallelogram is the product of its base length and the height measured perpendicular to the base.

Here, the base is 5 units and the height is 4 units. These can be seen by counting the grid squares.

  A = bh

  A = (5 units)(4 units) = 20 units²

The area is 20 square units.

the negations of each these propositions "today is monday"

Answers

Answer: Today isn't Monday.

Step-by-step explanation:

Find the value of x, y, and z in the rhombus below

Answers

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

the average age of eight boys is 17 years. find the sum of their ages.​

Answers

Answer

17-8= 9

Explanation

sana tama yan ang sagot ko

eric have rock and classic. the rock is 3 times more than classic. let c represent classic. what the expression for number of rock​

Answers

Answer:

3c

Step-by-step explanation:

3c im pretty sure. Since it is 3 times classic. classic is c. so rock must be R. so R=C3.

Multiples that are shared by two or more numbers are____

Answers

Answer:

Multiples that are shared by two or more numbers are common multiples.

Step-by-step explanation:

A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are referred to as the common multiples of those numbers.

I hope this helps! ^-^

Choose ALL answers that describe the polygon below.

Answers

Parallelogram quadrilateral rhombus trapezoid

Find the inverse of the function f(x) = 3 − 4( x/2− 1/2).
Simplify your answer.

Answers

Answer:

[tex]f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}[/tex]

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Replace x and y,  to find inverse function f , and compute the resulting equation for x.

there will be more than one inverse if the elementary function is not one-to-one.

So, exchange the variable: [tex]y=5-2x[/tex] becomes [tex]x=5-2y[/tex]

Now, solve the equation: [tex]x=5-2y[/tex] for y

[tex]y=\frac{5}{2} -\frac{x}{2}[/tex]

PLEASE PLEASE HELP ASAPPPP

In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2 , and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 :

Triangle ABC is shown. Point D lies on segment AC and point E lies on segment BC. A segment is drawn between points D and E. Po

Prove that segment DE is parallel to segment AB.

Answers

Answer with Step-by-step explanation:

you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. You can prove similarity with AA, SSS, or SAS.

consider the line 6x+4y=-5
what is the slope of a line perpendicular to this line
what is the slope of a line parallel to this line

Answers

[tex]6x+4y=-5\implies 4y=-6x-5\implies y=\cfrac{-6x-5}{4} \\\\\\ y=-\cfrac{6x}{4}-\cfrac{5}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}} x-\cfrac{5}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{-\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{2}{3} \right)\implies \cfrac{2}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \textit{and a \underline{parallel line} to this one will also have a slope of }-\cfrac{3}{2}[/tex]

please help fast. I will give brainliest! ​

Answers

Answer:

32.6ft

Step-by-step explanation:

θ = 25°

[tex]\theta=arccos(\frac{100}{\sqrt{h^2+28h+10196}})\\\\\\\\frac{100}{\sqrt{h^2+28h+10196}}=\cos{\theta}\\\\h^2+28h+10196=(\frac{100}{\cos{25}})^2 = 12174\\\\h^2+28h - 1978=0\\\\h = 32.6[/tex]

Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is

Answers

Answer:

35°

Step-by-step explanation:

How far is -10 from 0​

Answers

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

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