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lbvjy [14]
3 years ago
5

How many degrees in 2/3 of a circle

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

240 degrees

Step-by-step explanation:

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The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)
Hunter-Best [27]

Answer:

g( x) = \frac{2}{3}x

Step-by-step explanation:

Given:

Composite Function:

h( x)=f( g( x))

Also,

h( x)=\frac{4}{3}x-1

To find:

g( x )  = ?

Solution:

First of all, let us learn about a composite function.

Composite function f( g( x)) means to write g( x) in place of x in the function f( x).

Let g( x) = y

So, f( g( x)) =  f( y ).

Therefore,

h( x) =f( g( x)) = f( y)

So, f( y) = 2y-1

We have to solve for y in terms of x to find the value of g(x):

\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x

Hence, the answer is g(  x ) = \frac{2}{3}x.

Checking whether the answer is correct or not:

f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1

which is h( x).

Hence, our answer g( x ) = \frac{2}{3}x is correct.

6 0
3 years ago
Read 2 more answers
The average high temperature in Valerie's city during the month of December is 50°F.
tino4ka555 [31]

Answer:

18

Step-by-step explanation:

50-32=18

8 0
3 years ago
How do you solve 7x-3y=24
olga_2 [115]
7x - 3y = 24
7x - 24 = 3y
(7x - 24) : 3 = y

6 0
3 years ago
Read 2 more answers
Solve 2x + 3y = C, for y
natta225 [31]

Answer:

y= \frac{c-2x}{3}

Step-by-step explanation:

2x+3y=C

isolate y

3y=C-2x

y= \frac{c-2x}{3}

6 0
3 years ago
Read 2 more answers
Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?
fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0
2 years ago
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