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2 years ago

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

Mathematics

1 answer:

Firlakuza [10]2 years ago

3 0

The function represented by f(x) = (1/2)(3)ˣ is an exponential growth

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.

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The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

If b > 1, it is an exponential growth but if b < 1, it is an exponential decay.

Given the function:

f(x) = (1/2)(3)ˣ

since 3 > 1, it is an exponential growth.

The function represented by f(x) = (1/2)(3)ˣ is an exponential growth

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Use the point-slope form to write an equation of a line through the given points.

Luden [163]

Answer:

y-2=1/3(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-2)/(3-(-3))

m=2/(3+3)

m=2/6

simplify

m=1/3

y-y1=m(x-x1)

y-2=1/3(x-(-3))

y-2=1/3(x+3)

5 0

3 years ago

What are the multiples of 4 and 6?

raketka [301]

Answer:

Step-by-step explanation:

For example, to find the common (positive) multiples of 4 and 6, we might list: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … The numbers 12, 24, 36, and 48 appear on both of these lists, and more would appear if the lists were longer.

7 0

3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest ten

Leona [35]

Answer:

$t \approx 50.4\,min$

Step-by-step explanation:

The time constant of the element X is:

$\tau = \frac{13\,min}{\ln 2}$

$\tau = 18.755\,min$

The decay function has the following form:

$\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }$

$t = -\tau \cdot \ln \frac{m}{m_{o}}$

$t = -(13\,min)\cdot \ln \left(\frac{11\,g}{530\,g} \right)$

$t \approx 50.4\,min$

6 0

3 years ago

sukhopar [10]

Answer:

a. Two million, four hundred thousand

b. Forty billion

c. Four hundred seventy three thousand, five hundred

d. One thousand two hundred

Step-by-step explanation:

To Write the word names for each of the numerals

a. 2,400,000=Two million, four hundred thousand

b.40,000,000,000=Forty billion

c.473,500= Four hundred seventy three thousand, five hundred

d. 1,200=One thousand two hundred

Therefore the word names for each of the numerals will be:

a. Two million, four hundred thousand

b. Forty billion

c. Four hundred seventy three thousand, five hundred

d. One thousand two hundred

5 0

3 years ago

If C = 2a^2 - 5 and D = 3 - a,then C -2D equals

miskamm [114]

Answer:

$\large\boxed{C-2D==2a^2+2a-11}$

Step-by-step explanation:

$C=2a^2-5,\ D=3-a\\\\C-2D=?\\\\\text{Substitute:}\\\\(2a^2-5)-2(3-a)\qquad\text{use distributive property}\\\\=2a^2-5+(-2)(3)+(-2)(-a)=2a^2-5-6+2a=2a^2+2a-11$

4 0

3 years ago

Read 2 more answers