All categories

3 years ago

Which expression(s) have a greatest common factor (GCF) of 3xy2 with 42xy4

Mathematics

1 answer:

Aleks [24]3 years ago

3 0

Answer:

3xy2

Step-by-step explanation:

GCF is the largest factors which are common in two or more numbers.

We find the GCF of two or more number number by breaking each number into their factor and then observe which factors are common in the group and then we multiple the common number to get the GCF.

Lets understand this by an example

GCF of 24 and 36

factors of 12 = 2*2*2*3 , factors of 36 = 2*2*3*3

hence we see that 2,2 and 3 are common in 12 and 36 hence

GCF will be 2*2*3 = 12

Coming back to problem

given

Expression 1 is 3xy^2

factor of 3xy^2 = 3*x*y*y

Expression 2 is 42xy4

factor of 42xy4 = 2*3*7*x*y*y*y*y

common factor between the two expressions are

3, x, y , y

hence GCF will be = 3*x*y*y =3xy2 Answer

You might be interested in

Factor 24a^2b + 18abc

Bumek [7]

24a^2b + 18abc
=6ab(4a + 3c)

Hope this helps! :)

8 0

3 years ago

Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP

Vitek1552 [10]

Answer:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

$y=ax^2+bx+c$

is given by:

$x_{vertex}=\frac{-b}{2\,a}$

In our case, the quadratic expression that generates the parabola is:

$y=-2x^2+24x+174$

then the x-position of its vertex is:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6$

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

$y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246$

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position $(x_{vertex},y_{vertex})$ :

$y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246$

Therefore the answer is:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

6 0

3 years ago

Which line passes through the point (2, -1)

adoni [48]

It’s C because
3*2 - 2* -1 =8
6+2=8
8=8

8 0

3 years ago

What is the math outlier ? ***ANSWER PLEASE***

andreyandreev [35.5K]

Answer:

Math:9.75

Science:6

Step-by-step explanation:

Not 100% sure on those answers but here is hot to figure the problem out:

A point that falls outside the data set's inner fences is classified as a minor outlier, while one that falls outside the outer fences is classified as a major outlier. To find the inner fences for your data set, first, multiply the interquartile range by 1.5. Then, add the result to Q3 and subtract it from Q1.

5 0

3 years ago

Read 2 more answers

(B6/a3) 1/3 simplified form

borishaifa [10]

Answer: $\frac{2b}{a^3}$

Step-by-step explanation:

8 0

3 years ago