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castortr0y [4]
3 years ago
6

Problem 6? Helpppp pleaseeeee

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0
First, let's define 'Greatest Common Factor'

The Greatest Common Factor also known as GCF is the largest number that can divide equally into two or more numbers.

For the problem they ask 'Which number pair has a 'GCF' of 6.

First let's look at the answer choice 'A' that gives us 18 and 54.

Now for this we need to list the factors of both 18 and 54. A factor being a number that can be multiplied by another number to get the sum.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

So right away we can see the the largest number that can be divided into both of them equally is not 6, it is 18. This means we can mark out A as a possible answer.

Next let's try B and list the factors of both 30 and 42.

30: 1, 2, 3, 5, 6, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

Looks like we found our answer! The largest factor they have in common is 6!

I'm still going to go ahead and list the GCF's for answers C and D.

C. 30, 60

30: 1, 2, 3, 5, 6, 15, 30

60: <span>1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60</span>

GCF for answer choice C = 30


D. 36, 60

36: <span>1, 2, 3, 4, 6, 9, 12, 18, 36

</span>60: <span>1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60</span>


Final answer: B. 30, 42
Pachacha [2.7K]3 years ago
7 0
D.36 60 .... because 6 times 6 is 36 and 6 times 10 is 60
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sesenic [268]

consider the numbers are x,2x,3x,4x,5x

Given;

(x+2x+3x+4x+5x)/5 = 11

15x = 55

x= 55/15 = 11/3

The numbers are

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6 0
3 years ago
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Which of these statements is true for f(x)=(1/10)^x
lana66690 [7]

Step-by-step explanation:

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Analyzing option A)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

Putting x = 1 in the function

f\left(1\right)=\:\left(\frac{1}{10}\right)^1

f\left(1\right)=\:\left\frac{1}{10}\right

So, it is TRUE that when  x = 1 then the out put will be f\left(1\right)=\:\left\frac{1}{10}\right

Therefore, the statement that '' The graph contains \left(1,\:\frac{1}{10}\right)  '' is TRUE.

Analyzing option B)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The range of the function is the set of values of the dependent variable for which a function is defined.

\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k

k=0

f\left(x\right)>0

Thus,

\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}

Therefore, the statement that ''The range of f(x) is y > \frac{1}{10} " is FALSE

Analyzing option C)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is -\infty \:

Thus,

\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Therefore, the statement that ''The domain of f(x) is x>0 '' is FALSE.

Analyzing option D)

Considering the function

f\left(x\right)=\:\left(\frac{1}{10}\right)^x

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

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The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?
ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

  • The conversion rule is:

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So, Speed in feet per second is:

 1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

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So, 10 miles per second in feet per second is 14.67 feet per second

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Y_Kistochka [10]
The coefficient is 2, the first number being multiplied by a variable will always be the coefficient.
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A rational function g is given below. Find all values of a for which ​g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)
aliina [53]

Answer:

a = 2/3

Step-by-step explanation:

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3 0
3 years ago
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