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adelina 88 [10]
3 years ago
6

Find f(2) for the function below f(x) = (1/8) times 5^x

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Step-by-step explanation:

f(x) =  \frac{1}{8}  \times  {5}^{x}  \\  \\  \therefore \: f(2) =  \frac{1}{8}  \times  {5}^{2}  \\  \\  \therefore \: f(2) =  \frac{1}{8}  \times 25 \\  \\ \huge \red{ \boxed{ \therefore \: f(2) =  \frac{25}{8} }}

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12) Write the equation of a rational function
aev [14]

Answer:

\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}

Step-by-step explanation:

A rational function is

\frac{p(x)}{q(x)}

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

(x - p)

Step 1: We have asymptote as 0 and -1 so our denomiator will include

(x - 0)(x - ( - 1)

Which is

(x)(x + 1)

So our denomator so far is

\frac{p(x)}{x(x + 1)}

Step 2: Find Holes.

Since 12 is the value of the hole,

(x - 12)

is a the binomial.

This will be both on the numerator and denomator so qe have

\frac{(x - 12)}{x(x + 1)(x - 12)}

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

\frac{  {x}^{3} - 10 {x}^{2}  - 59x + 420 }{ {x}^{3} - 12 {x}^{2}   + x - 12}

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}

Above is the function,

5 0
3 years ago
3. 24 +13
Elodia [21]

Answer:

37

Step-by-step explanation:

??!?!?!?!?!?! don't know what'cha mean

5 0
3 years ago
I would like to ask about question d
Marrrta [24]
6 halves is 3.
B is at 3 1/2
3 1/2 minus 3 is 1/2
D would be plotted at 1/2.
7 0
3 years ago
Hi :) I'm working with rational and irrational numbers. There's a problem .025 with the 25 repeating. If anyone could lend some
sp2606 [1]
1/40 would be your answer because 0.025 is would be 25/1000. Simplify that then you would get 1/40.
8 0
3 years ago
Adiah played soccer for 1/2 hour she did homework for 5/4 hours
Komok [63]
That is not a question so I can't help you but combined she did 7/4 or 1 3/4 hours
8 0
3 years ago
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