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Helen [10]
3 years ago
10

Select "Growth" or "Decay" to classify each function.

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

1. The growth rate equation has a general form of:

y = A (r)^t

The function is growth when r≥1, and it is a decay when r<1. Therefore:

y=200(0.5)^2t                    --> Decay

y=1/2(2.5)^t/6                  --> Growth

y=(0.65)^t/4                       --> Decay

 

2. We rewrite the given equation (1/3)^d−5 = 81

 

Take the log of both sides:

(d – 5) log(1/3) = log 81

d – 5 = log 81 / log(1/3)

d – 5 = - 4

 

Multiply both sides by negative 1:

- d + 5 = 4

So the answer is D

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An=-31+(n-1)-11 find the eleventh term

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Please solve. Evaluate the function.
Yuliya22 [10]

Answer:

(g o f)(x) = \sqrt{-510} (not simplified)

Step-by-step explanation:

(g o f)(x) = g(f(x))

g(x) = \sqrt{3x}  f(x) = x^{3} + 9x

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3 years ago
A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. the function f(
Alexxx [7]

Answer:

Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

f(x)=\frac{1}{x}

Transformed function,

f(x) = \frac{100}{x-5}

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of f(x)=\frac{1}{x} was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of f(x)=\frac{100}{x-5}

4 0
3 years ago
What is the rule help I’m to stupid
aalyn [17]

Answer:

2/24

5/60

7/84

10/120

12/144

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rule is y=12x (Flavoring = x, Water = y)

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24=2x

\frac{24}{2} =\frac{2x}{2}

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