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mixas84 [53]
3 years ago
12

Can someone please help me i dont know the answer.

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

-272

Step-by-step explanation:

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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
Read 2 more answers
7. What is the length of the line segment between A(–5, 8) and B(7, 8)?
Verizon [17]

Answer:

7) C

8) B

9) C

Step-by-step explanation:

7) sqrt[(8-8)² + (-5-7)²] = 12 units

8) y = 4x

9) y = 6 - x

4 0
3 years ago
Evaluate (f-g)(3t) for f(x)=x²+1 and g(x)=x-4
zysi [14]
(f-g)(3t) \\  \\ f(x)-g(x) \\  \\ f(3t)-g(3t) \\  \\ ((3t)^2+1)-((3t)-4) \\  \\ 9t^2+1-3t+4 \\  \\ 9t^2-3t+5
6 0
3 years ago
Read 2 more answers
AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents p
Mama L [17]

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

6 0
3 years ago
Alicia bikes 25% of a 100-mi trip on the first day. she bikes of the remaining distance on the second day. on the third day, she
DochEvi [55]
First day: 25% × 100 = 25 ( miles)
Second day : the remaining distance is 100 - 25 = 75 ( milesl
Third day: 40% × 75 = 30
25 + 75 + 30 = 130 (miles)

5 0
3 years ago
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