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svet-max [94.6K]
3 years ago
12

PLEASE HELP ME PLEASE

Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

Answer:

x

Step-by-step explanation:

f(x) = (x-1)/3

g(x) = 3x+1

f(x) °g(x) =

Substitute g(x) in for x in the function f(x)

f(x) °g(x) = (g(x) -1)/3

             = (3x+1 -1)/3

             = 3x /3

             =x

Tems11 [23]3 years ago
4 0

Step-by-step explanation:

<u>Step 1:  Find </u>(f \ o \ g)(x)

What this basically means is that you substitute the equation of g(x) into the x's of the function f(x)

(f \ o \ g)(x) = \frac{g(x)-1}{3}

(f \ o \ g)(x) = \frac{(3x+1)-1}{3}

(f \ o \ g)(x) = \frac{3x+1-1}{3}

(f \ o \ g)(x) = \frac{3x}{3}

(f \ o \ g)(x) =x

Answer: Option D, (f \ o \ g)(x) =x

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Step-by-step explanation:

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3 years ago
A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil
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Answer:

\frac{n_p}{n_s}=\frac{1}{1000}

Step-by-step explanation:

Given voltage of primary coil is V_p=12V

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A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil (n_p) and secondary coil (n_s).

Following equation represents the relation between them.

\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

\frac{n_p}{n_s}=\frac{1}{1000}

5 0
4 years ago
The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol
allsm [11]

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=a^3

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

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V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

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4 0
3 years ago
Identify the savings options and the investment options. business ownership bonds money market account promotional CD
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Answer:

The given options are -

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8 0
4 years ago
Read 2 more answers
Identify the ordered pair that represents the vector from A(-8,-1) to B(-5,3) and the magnitude of vector AB.
wel
In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula: v(a→b)=(b1−a1,b2−a2) In this case we have : v(a→b)=(−5−(−8),3−(−1)) <span>v(a→b)=(3,4)

</span>To find the magnitude we use the formula: ||v|=  √(v1^2)+(v1^2)

So:
||v|= √(32)+(42) ||v|=  √9+16 ||v|= <span>√</span>25  ||v|= 5
8 0
3 years ago
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