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3 years ago

Greatest common factor of 16m^6n^4 , 2m^5n^3 and 2m^5n^3

1 answer:

5 0

6m^3n - 9m^2n^2 - 15mn^3

Simplifying 6m3n + -9m2n2 + -15mn3
Reorder the terms: -15mn3 + -9m2n2 + 6m3n

Factor out the Greatest Common Factor (GCF), '3mn'. 3mn(-5n2 + -3mn + 2m2)

Factor a trinomial
3mn((-1n + -1m)(5n + -2m))

Final result:
3mn(-1n + -1m)(5n + -2m)

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A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Fin

Reil [10]

Answer:

2.5 km

Step-by-step explanation:

First, find the area of the region:

A circular region has a population of about 15,500 people;
A population density of about 775 people per square kilometer.

So, there are $15,500 :775=20$ square kilometers.

Now, let x kilometers be the radius of the circular region, then

$A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523$

To the nearest tenth this is 2.5 km.

6 0

3 years ago

I need yalls opinion on sumthin ok

melisa1 [442]

Answer:

?????......????.........??????

7 0

3 years ago

please someone answer number 1 and number 3!! it would be much appreciated if you could make it sound like and 8th graders work.

Luda [366]

Almost all linear equations are functions but not all straight lines are a graph of a function.A linear function with its y-intercept as zero passes through the origin.

step-by-step explanation:

1. Linear means a graph that makes a straight line where as a function represents all set of values in (x,y) system on a graph where a single x point has a corresponding y point value.

A function can be linear to form a straight line or a curve in the case of nonlinear functions.

The similarity is observed where both the straight line and the function assume the shape of a straight line. In this case, they are both linear. However, a function can be a curve and not a straight line, thus the difference.

3. The origin (0,0) and the y-intercept can be found in a table of values for a certain function and appear on the graph and the equation of a function. For example in the function y=4x, a table of value of x and y can be;

x y

-1 -4

0 0

1 4

2 8

Here you notice when x=0, y=0, this tells you that the y-intercept is 0. From the slope intercept form of a graph, y=mx+c , c is the y-intercept, and for our case, y=4x, the value of c=0 to mean the function passes through the origin (0,0). This is observed in the table where x=0, y=0, on the attached graph where the line passes through the origin and in the equation y=4x where the value of c=0

Learn More

Linear graphs :brainly.com/question/11954757

Keywords : straight line, function, origin, y-intercept, table, equation , graph

#LearnwithBrainly

4 0

4 years ago

A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the

Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7

4 0

3 years ago

Which function is increasing?? :)

exis [7]

Answer:

$\large\boxed{B.\ f(x)=4^x}$

Step-by-step explanation:

Exponential function $f(x)=(a)^x$ is

increasing if $a > 1\to a\in(1,\ \infty)$

decreasing if $0 < a < 1\to a\in(0,\ 1)$

$A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}$

7 0

3 years ago