Answers
Answer:
The equivalent functions are;
[tex]g(x) = 3^{-2 \cdot x }[/tex]
[tex]g(x) = 9^{-x}[/tex]
[tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]
Step-by-step explanation:
The given function is f(x) = (1/3)^(2·x)
[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex]
The given function can be simplified as follows;
[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = 3^{-1 \cdot2 \cdot x } = 3^{-2 \cdot x } = g(x)[/tex]
∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = 3^{-2 \cdot x }[/tex]
2) The given function can also be simplified as follows;
[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = (9^{-1}) ^x} = 9^{-1 \times x} = 9^{-x} = g(x)[/tex]
∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = 9^{-x}[/tex]
3) The given function can also be simplified as follows;
[tex]f(x) = \dfrac{1}{3} ^{2 \cdot x} = \left (\dfrac{1}{3} ^2\right )^x = \left (\dfrac{1}{9} \right )^x = g(x)[/tex]
∴ [tex]f(x) = \dfrac{1}{3} ^{2 \cdot x}[/tex] ≡ [tex]g(x) = \left (\dfrac{1}{9} \right )^x[/tex]
Related Questions
Use the number line below to answer the question which statement about the location of point G on the number line is true??
Can someone help me please ? I’m struggling. Lol
Answers
Answer:
C
PLZ MARK AS BRAINLIEST
The product of 3 and a number equals the sum of 16 and a number.
Answers
Answer:
The numbers can be either -8,-7,-6, or 6, 7, 8.
n(n−1)(n+1)=16(n−1+n+n+1)
⟹n(n2−1)=16×3n
⟹n(n2−1)n=48nn
⟹(n2−1)−48=48−48
⟹n2−49=0
⟶(n−7)(n+7)=0
n can be 7 or −7 , so the numbers can be either −8,−7,−6
Or
6,7,8
Step-by-step explanation:
I need help asap! This is a math pearson.
Answers
Answer:
2.4x105
Step-by-step explanation:
D
What is the answer to 9+10?
Answers
Answer:
19
Step-by-step explanation:
I used my fingers and toes
What is the to m(3 +m)
Answers
Answer:
3m+m^2
Step-by-step explanation:
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Estimate the sale price of the item.
30% off a bike for $432.43
Answers
Answer:
129.73
Step-by-step explanation:
432.43x30%=129.73
Discount = 432.43 × 30/100
Discount = 432.43 x 0.3
You save = $129.73
Final Price = Original Price - Discount
Final Price = 432.43 - 129.729
Final Price = $302.70
Solve for m and q:
m+ 2 = q - 4
5m - 33 = q+1
Answers
hope this helps!!
Help
btw it says for not fo lol
Answers
Answer:
ada apa dekkkkkkkkkkbahahajaiaAnswer: quadrilateral , parallelogram,square
Step-by-step explanation:
hopes this helps :)
Solve the simultaneous equations
x + 5y = 16
x + 3y = 10
Answers
Answer: x=1 and y=3
Step-by-step explanation: hope this help
The solution of the linear equations x + 5y = 16 and x + 3y = 10 will be (1, 3).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
x + 5y = 16 ...1
x + 3y = 10 ...2
Subtract equation 2 from equation 1, then we have
x + 5y - x - 3y = 16 - 10
2y = 6
y = 3
Then the value of the variable 'x' will be given as,
x + 5(3) = 16
x + 15 = 16
x = 1
The solution of the linear equations x + 5y = 16 and x + 3y = 10 will be (1, 3).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.
Answers
Answer:A. Yes, they are inverse of each other.
B. Domain and range of the compositions is .
Step-by-step explanation:
A. We have, and .
Now, 'when two functions f and g are inverses of each other, they satisfy the property '.
So, we have,
Thus, we get for the given function f and g, .
Hence, they are inverse of each other.
B. Now, as we have,
That is, the composition of the functions is equal to the identity function.
Thus, the domain and range are the set of all real numbers respectively.
So, in the interval notation, we have,
Domain and range of the compositions is .
find the slope of the line
Answers
Answer:
y=3/4x+3
Step-by-step explanation:
40 divided by 28 but I need the answer in decimal form
Answers
Answer:
1.42857142857
Step-by-step explanation:
Answer: 1.428571 what is underlined is what repeats
Step-by-step explanation:
(5x + 2)
(3x+2)
It has to equal 180 degrees but I don't know what it is
Answers
(5x + 2) (3x + 2) = 180
15x + 4 = 180
15x = 176
_
X = 11.73
Is the following relation a function?
Answers
Answer:
no
Step-by-step explanation:
the x value (-1) repeats therefore it ain't a function
which table represents a linear function?
Answers
Write the equation of the
parabola that has x-intercepts of
(1,0) and (5,0) in standard form.
Answers
Answer:
y = x² - 6x +5
Step-by-step explanation:
(x -1)(x-5) = y
x² - 5x - x + 5 = y
x² - 6x +5 = y
Becky is using the expression 2z + 3 to represent the number of chairs in her classroom. There are twice as many chairs as tables, and there are three extra chairs in the back. What does z represent?
The number of chairs.
The number of tables.
The number of chairs at tables.
The number of chairs and tables.
Answers
Answer:
The number of chairs
Step-by-step explanation:
The equation is 2z + 3
2 ( = multiply by)
z ( # of chairs)
+3 ( the 3 extra chairs in the back)
Answer:
The number of tables
Step-by-step explanation:
Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.
Please Jesus God this is so important
Answers
Answer:
c
Step-by-step explanation:
For the following statements 11 - 16 write TRUE or FALSE.
11. Through any two points there is exactly two lines.
12. A line contains of at LEAST two points.
13. A plane contains at least three non-collinear points.
14. Two lines intersect at a point.
15. Two planes intersect at a point.
16. A line and a plane intersect at a line.
Answers
Answer:11 is false. Through any two points there is exactly one line. 12 is true. 13 is true. 14 is true. 15 is false. Two planes intersect at a line. 16 is false. A line and a plane would intersect at a point
Step-by-step explanation:
Hi! Can someone help me?
3-x divide by 3/5; x=1/4
Answers
2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x
Answers
Answer:
x = -2
y = -4
Step-by-step explanation:
The way systems of equations work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*
so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.
that would leave
5x = -10
divide both sides by 5
x = -2
Now that we know x = -2, we can plug in -2 into one of the equations to find y.
2 ( -2) + 5y = -24
-4 + 5y = -24
-4 + 4 + 5y = -24 + 4
5y = -20
y = -4
x = -2
y = -4
25 points What is the equation for the line in slope-intercept form
Answers
Answer:
y=8x
Step-by-step explanation:
x=1 y= 8
x=2 y=16
8=m+b
16=2m+b
m=8
y=8x
The equation of a line is on the form y = mx + b where m is the slope and b is the y-intercept.
First let’s find the slope:
m = (y2-y1)/(x2-x1) = (16-0)/(2-0) = 16/2= 8
So we have y = 8x + b
We substitue one of the coordinates to find b. Let’s substitute (0,0)
We get 0 = 0 + b. So b = 0
The equation of the line is y = 8x
You are making curtains for your little sister's dollhouse. There are 24 windows on the dollhouse and each
needs 3.75 inches of fabric for curtains. How much fabric will you need?
(please help I only have a couple of minutes)
Answers
Answer:
90 inches
Step-by-step explanation:
24 x 3.75 which is the same as 24 x 3 3/4 which is the same as
24 x 15/4 = 6 x 15 = 90
Long distance phone rate 15 cents per minute. A call cost $1.05. How long was the call
Answers
Answer:
7
Step-by-step explanation:
$1.05 is 105 cents 105/15=7
PLEASE HELP!!!
Henry has a bag of marbles. The bag contains 4 red marbles, 2 blue
marbles, 3 green marbles, and 1 yellow marbles. She will randomly select two marbles from
the bag one at a time without replacement What is the probability that Henry will select a
blue marble first and then a yellow marble?
Answers
I feel like this is simple but i just forgot
Answers
Answer:
Probably d but im d u mb
Step-by-step explanation:
find the value of x 12.5, 12, 15
Answers
Answer:
Find the value of x for the given expression: 10x = 50 · Find the value of x for 15 + x = 30 · Find the value of x for the given equation 12 + 2x + 18 = 10.
Step-by-step explanation:
1) Dado o extrato bancário, marque a opção correta: *
1 ponto

a) O saldo depois do cheque nº 1 é de R$ -100,00.
b) Depois do depósito realizado de R$ 250,00 o saldo é R$ 550,00.
c) O saldo final é R$ 100,00 negativo.
d) Depois do saque de R$ 600,00 o saldo ficou positivo.
2) Dado a pirâmide abaixo, marque a opção incorreta *
1 ponto

a) A soma dos três números da linha de baixo da pirâmide é +4.
b) O número A que está faltando é +22.
c) O número B vale +4.
d) A soma entre A e B é 18.
Answers
A resposta correta é a letra c
Evaluate -29 - X
when x = 6
Answers
Answer:
wouldn't that just be -35?
Step-by-step explanation:
you just have to do -29-6
Plz help due tomorrow
Answers
Answer:
Step-by-step explanation:
8a + 16c
8(a + 2c)
answer is C
Part B
8(-5) + 16(-1)
-40 - 16 = -56
Answer:
PART A: 8(a + 2c)
PART B: -56
Step-by-step explanation:
PART A:
8a + 16c
8(a) + 8(2c)
8(a + 2c)
PART B:
8a + 16c
if a = -5, and c = -1,
8(-5) + 16(-1)
-40 + -16
= -56