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djverab [1.8K]
3 years ago
12

Whats the greatest common factor for 8m^4n and 16mn^2

Mathematics
2 answers:
motikmotik3 years ago
7 0
I believe the gcf would be 8m 
bc if u have 8m raised to the power of 4n and 16mn raised to the power of 2
the gcf would be 8m 
unless i am wrong which very well may be
Have a blessed day!
nalin [4]3 years ago
5 0
Determine factorization for each term. Use prime factorization for the numbers.
8m⁴n = 2³ × m⁴ × n
16mn² = 2⁴ × m × n²

To find the greatest common factor, pick equal factors
equal factors are 2, m, n
then pick the equal factors which have lowest exponential number
2³, m, n

Greatest common factor
2³ × m × n
= 8mn

The greatest common factor is 8mn
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If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).
kirill115 [55]

Answer:

\boxed {\boxed {\sf A. \ 4x+1}}

Step-by-step explanation:

We are asked to find (f+g)(x). The question is essentially asking us to find the sum of f(x) and g(x).

(f+g)(x)=f(x)+g(x)

We know that f(x) equals 3x-1 and g(x) equals x+2. Substitute the values of the functions in.

(f+g)(x)=(3x-1)+(x+2)

Combine the like terms.

  • 3x and x are like terms (both have the variable "x"
  • -1 and 2 are like terms (both without variables, also known as constants)

(f+g)(x)=(3x+x)+(-1+2)

(f+g)(x)=(4x)+(1)=4x+1

(f+g)(x) is equal to <u>4x+1</u> and the correct answer is A.

4 0
3 years ago
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Choose all the units that are part of the metric system ?
KatRina [158]

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass)

Step-by-step explanation:

The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

In addition to the difference in the basic units, the metric system is based on 10s, and different measures for length include kilometer, meter, decimeter, centimeter, and millimeter. Notice that the word “meter” is part of all of these units.

8 0
3 years ago
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Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,
andrezito [222]

Answer:

y = 9

Step-by-step explanation:

Calculate the slope m of line k using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)

m = \frac{y-8}{2-5} = \frac{y-8}{-3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

The slope of line l is m = 3, thus slope of line k is

m = - \frac{1}{3}

Equating the 2 slopes for line k

\frac{y-8}{-3} = - \frac{1}{3} ( multiply both sides by - 3 )

y - 8 = 1 ( add 8 to both sides )

y = 9

7 0
3 years ago
There are 4000 students at mountain high school and 1/8 of the students are seniors. If 1/5 of the seniors are in favor of the d
LenaWriter [7]

Answer: 1400 students


Explanation:

Total = 4000


Senior = 1/8 x 4000 = 500

Senior not in favor of debate = ( 1 - 1/5) x 500 = 400


Non senior = 4000 - 500 = 3500

Non-senior not in favor of debate = (1 - 5/7) x 3500 = 1000


Total = 400 + 1000 = 1400

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Ainat [17]

Answer:

x=±sqrt (33)

Step-by-step explanation:

y=(x+2)(x-2)

29=x^2-4. x^2=33, x=±sqrt (33)

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3 years ago
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