All categories

2 years ago

For f (x) = 9 * 81^x evaluate f(-1/2)

Mathematics

1 answer:

LekaFEV [45]2 years ago

8 0

Step-by-step explanation:

f(x) = 9 * 81^x

When x = -1/2,

f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.

You might be interested in

A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

Sonbull [250]

9514 1404 393

Answer:

126 children
63 adults
60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

5(2a) +7(249 -3a) +12a = 1806

a +1743 = 1806 . . . . simplify; next, subtract 1743

a = 63 . . . . . . . . adults

2a = 126 . . . . . . children

249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.

4 0

3 years ago

How to tell if a relation is a function and give an example.

Marianna [84]

Ex: f: R ---> R
f(x)=2x+1
Definition: For every value of x , exists only one value of f(x)
f(1)=2*1+1, f(1)=2*1+1=3
f(2)=2*2+1=4+1=5
......
f(100)=2*100+1=200+1=201

8 0

2 years ago

Screenshot of the question attatched. please help me

Law Incorporation [45]

<h2>Rules of Exponents</h2>

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

<h3>The division rule</h3>

⇒ $\dfrac{a^n}{a^m}=a^{n-m}$

<h2>Solving the Question</h2>

We're given:

$z^{21}\div z^7=z^k$ (solve for k.)

⇒ Rewrite as a fraction:

$\dfrac{z^{21}}{z^7}=z^k$

⇒ Use the division rule:

$z^{21-7}=z^k\\z^{14}=z^k\\14=k$

Therefore, the value of <em>k</em> is 14.

<h2>Answer</h2>

<em>k</em> = 14

5 0

1 year ago

Redute question and type your response in the box provided. Your response will be saved automatically

Verizon [17]

Answer:

see explanation

Step-by-step explanation:

32 - 7x = 2x - 3(4x - 5) ← distribute parenthesis

32 - 7x = 2x - 12x + 15

32 - 7x = - 10x + 15 ( add 7x to both sides )

Anna made her error here in that she subtracted 7x from both sides

32 = - 3x + 15 ( subtract 15 from both sides )

17 = - 3x ( divide both sides by - 3 )

- $\frac{17}{3}$ = x ← is the solution

3 0

2 years ago

Determine the equivalent system for the given system of equations: <br> 5x − 3y = 6 <br> x + y = 2

Arada [10]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}5x-3y=6\\x+y=2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-3y=6\\3x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad8x=12\qquad\text{divide both sides by 8}\\.\qquad x=1.5\\\\\text{put the value of x to the second equation:}\\\\1.5+y=2\qquad\text{subtract 1.5 from both sides}\\y=0.5$

3 0

2 years ago

Read 2 more answers