Rewrite with grouping symbols to make the number sentence true

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

(16 ÷ 2) x (4 - 3) = 8

8 x 1 = 8

There you go! I really hope this helped, if there’s anything just let me know! ☻

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If the interval (a, infinity) describes all values of x for which the graph of f(x)=4/x^2-6x+9 is decreasing, what is the value

Afina-wow [57]

Answer:

The answer is "3".

Step-by-step explanation:

$\texttt{Given graph equation: } \\\\\bold{\Rightarrow f(x)=\frac{4}{x^2-6x+9} }$

$\bold{\ interval: (a,\infty)}$

differentiate the function f(x):

$\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\$

Formula:

$\bold{\frac{d}{dx} \frac{v}{u}= \frac{u \frac{d}{dx} v- v\frac{d}{dx}u }{u^2}}$

$\Rightarrow f'(x) = \frac{d }{dx}(\frac{4}{x^2-6x+9})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \frac{d}{dx} 4- 4\frac{d}{dx}(x^2-6x+9) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{d }{dx}(\frac{(x^2-6x+9) \times 0 - 4(2x-6) }{(x^2-6x+9)^2})\\\\\\\Rightarrow f'(x) = \frac{- 4(2x-6)}{(x^2-6x+9)^2}\\\\\\\Rightarrow \frac{- 4(2x-6)}{(x^2-6x+9)^2}=0\\\\\Rightarrow - 4(2x-6)=0\\\\\Rightarrow 8x-24=0\\\\\Rightarrow 8x=24\\\\\Rightarrow x=\frac{24}{8}\\\\\Rightarrow x=3\\\\$

since the value of x in: $(-3 ,\infty) \ \ and \ \ (3, \infty)$ and $f'(x)$ . So, the value of a is 3

7 0

3 years ago

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Can someone help please?

spin [16.1K]

Answer: B.

Step-by-step explanation: Googled it.

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3 years ago

A rope is 72ft ,what is the length of the rope in yards

Svetllana [295]

Well, 1 ft = .333333 yards
So, do .333333 x 72 to get your answer.
You should get 23.999976
So, now just round it and you should get 24 as your final answer.

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3 years ago

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OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.

garik1379 [7]

Answer:

Step-by-step explanation:

5x12=60

(227.5x5x120)=13650

13650-9500=4150

apply formula

(2x12x4150)/((13650(60+1))=0.1196