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Neporo4naja [7]
3 years ago
13

Identify the type of function represented by f(x)=1/2•(3)^x

Mathematics
2 answers:
dalvyx [7]3 years ago
6 0
ANSWER

An exponential growth function.


EXPLANATION

The given function is

f(x) =  \frac{1}{2}  {(3})^{x}

This function is of the form,


f(x) = a {(b})^{kx}

Since k is positive , the function will grow exponentially and fall asymptote to the negative x-axis.


As x-values becomes bigger and bigger positively, the graph grows exponentially.
kodGreya [7K]3 years ago
4 0

It's a exponential function since we have the variable in the expoent.


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denpristay [2]

Answer:

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = \frac{3+\sqrt{105} }{8}  , \frac{3-\sqrt{105} }{8}  x=1.655,-0.905

7 0
3 years ago
Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a
olchik [2.2K]

Answer:

option (b) 0.0228

Step-by-step explanation:

Data provided in the question:

Sample size, n = 100

Sample mean, μ = $20

Standard deviation, s = $5

Confidence interval = between $19 and $21

Now,

Confidence interval = μ ± z\frac{s}{\sqrt n}

thus,

Upper limit of the Confidence interval = μ + z\frac{s}{\sqrt n}

or

$21 =  $20 + z\frac{5}{\sqrt{100}}

or

z = 2

Now,

P(z = 2) = 0.02275                       [From standard z vs p value table]

or

P(z = 2) ≈ 0.0228

Hence,

the correct answer is option (b) 0.0228

3 0
3 years ago
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association a
RUDIKE [14]

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

5 0
2 years ago
Help me please!!!!!
Butoxors [25]

Answer:

ratio

Step-by-step explanation:

you

got

ratioed

8 0
2 years ago
Please help me on this one
devlian [24]

Answer:

option a

step-by-step explanation:

To rationalize the expresion we need to multiply and divide the expression by the conjugate of the denominator as follows

sqrt(9) / (sqrt(3) + sqrt(x)) = sqrt(9) ((sqrt(3) - sqrt(x)) / ((sqrt(3) + sqrt(x))(sqrt(3) - sqrt(x)))

3((sqrt(3) - sqrt(x)) / (3 - x)

So the result es option a:

(3sqrt(3) - 3sqrt(x)) / (3 - x)

4 0
3 years ago
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