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fredd [130]
3 years ago
10

1/2r + 2 (3/4r - 1) = 1/4r + 6​

Mathematics
2 answers:
gtnhenbr [62]3 years ago
7 0

Answer:

r=32/7

Step-by-step explanation:

bazaltina [42]3 years ago
4 0

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)

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Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

{\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x

  • A piece-wise function is a function which has multiple pieces.
  • Each of the pieces have their own restrictions.
  • The domain of a function is the set of input, or x, values for which the function is defined.
  • The range is the set of all values taken by the function

As the piece

f(x)=x^{2} +2 has the domain [-5, 3) and graph of this piece is attached below.

and

f(x)=x-4 has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval \:\left[-1,\:27\right].

i.e.

Domain: [-5, 3) U [3, 7)

Range: \:\left[-1,\:27\right]

The graph of this piece-wise function is attached below.

<em>Keywords: piece-wise function, domain, range</em>

<em>Learn more about piece-wise function from brainly.com/question/12687437</em>

<em>#learnwithBrainly</em>

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