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romanna [79]
2 years ago
5

Study the steps used to solve the equation

Mathematics
1 answer:
svet-max [94.6K]2 years ago
8 0

Answer:

c = 24

Step-by-step explanation:

The given equation is :

\dfrac{c}{2}-5=7

Adding both sides by 5 both sides,

\dfrac{c}{2}-5+5=7+5\\\\\dfrac{c}{2}=12

Cross multiplying both sides,

c=2\times 12

c = 24

So, the value of c is 24.

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Given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
uysha [10]

Answer:

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

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

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= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

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= 3x + 5x + 2 – 4

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(f × g)(x) = [f (x)][g(x)]

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\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

3 0
3 years ago
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