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
is 2.6457513110 a rational number?
Answers
Someone help for 5 and 6
Answers
Solve for x. −12x+13>35 Drag and drop a number or symbol into each box to correctly complete the solution.
Answers
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
Rate of change and slope. Can anybody help me? This is a major and I do not understand the problem.
Answers
Step-by-step explanation:
1. the rate of change is constant. the slope is 3
2. the rate of change is variable, because it's not consistent.
A fair spinner has 11 equal sections: 4 red, 4 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answers
The probability of getting the same colour twice is approximately 34%.
A total of 100 students were surveyed
and asked which color they would like in
the school flag.
5 checked only green.
8 checked only red.
12 checked only blue.
19 checked red and green.
22 checked blue and green.
13 checked red and blue.
How many checked all 3 colors?
Answers
Mario plays basketball on a town league team. The
table below gives Mario's scoring statistics for last
season. How many points did Mario score playing
basketball last season?
Answers
Answer:
Step-by-step explanation:
Total points Mario scored = total 1-point free throw + total 2-point field goal + total 3-point field goal.
In 80 attempts 1-point free throw, Mario had 75% success rate. That is, Mario had 80 x 75/100 success
80 x 75/100 = 60
Thus, Mario scored 1 x 60 (since for each success, 1 points is added) points = 60
In 60 attempts 2-point field goal, Mario had 90% success rate. That is, Mario had 60 x 90/100 success
60 x 90/100 = 54
Thus, Mario scored 2 x 54 points (since for each success, 2 points are added) = 108
In 60 attempts 3-point field goal, Mario had 25% success rate. That is, Mario had 60 x 25/100 success
60 x 25/100 = 15
Thus, Mario scored 3 x 15 points (since for each success, 3 points are added) = 45
Therefore, the total points Mario scored = 60 + 108 + 45
= 213
Alberts bank account decreased by a total of 193 over a period of 12 days. what was the average daily decrease in his account?
Answers
Answer:
16.08
Step-by-step explanation:
IF Alberts bank account decreased by a total of 193 over a period of 12 days, then;
193 = 12days
To determine the average daily decrease in his account, thwn;
x = 1 day
Divide both equations
193/x = 12/1
12x = 193
x = 193/12
x = 16.08
Hence the average daily decrease in his account is 16.08
whats 2+2 i need this by 10 minw
Answers
Answer:
4 :)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
I don’t know how to tell if the two pentagons are both are congruent or tell if the sides and angles are congruent
Answers
WILL MARK BRAINIEST!
Rob is making for his young son a replica armchair of one he uses. The ratio of the length of the arm of the old chair to that of the new chair is 3:2. The arm of the old chair is 9 inches long. How many inches long will the arm of the new chair be?
Answers
Answer:
As the ratio of the length of the arm of the old chair to the length of the arm of the new chair is 3/2, and the length of the old chair is 9 inches, hence the length of the arm of the new chair is 6 inches.
Simplify 6 4/60 simplyfy
Answers
[tex] \sf{\dfrac{4}{60} = {\dfrac{1}{15}}} [/tex]
Hamburger: $6.00
Fries: $2.00
Tax: 7%
Tip: 20%
Total: ___
Answers
Answer:
$10.27
Step-by-step explanation:
H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27
Can someone help me , I need this answer ASAP plz
Answers
Answer:
4.62
Step-by-step explanation:
I think.
what type of transformation is shown
Answers
Answer:
A reflection
Step-by-step explanation:
It has been mirrored.
what is the slope intercept form for y-5=3(x-3)
Answers
Answer:y=3x-4
Step-by-step explanation:
you add 5 on both sides
simplify
and get y on one side
slope is 3
the y intercept is -4
Jill hired a band to play at her wedding. The band charges $3,000 and requires a 20% deposit. How much money does Jill need for the deposit?
Answers
Answer:
3000 times 100
divide by 20
So 3000-600=2400
Find the distance between the two points given
Answers
Answer:
6√2
Step-by-step explanation:
from the graph the coordinates of the points are (2, 5) and (- 4, -1)
the distance is d= √(x2-x1)²+(y2-y1)² = √(-4-2)²+(-1-5)²=√72 = √2*2*2*3*3= 6√2
Which holiday showed greater variability in the
data?
Answers
Answer:
christmas
Step-by-step explanation:
Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro
de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad
actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual
de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo
Answers
Answer:
respuesta el joven tiene 15 y el padre 30
I need help with geometry
Answers
Answer:
70
Step-by-step explanation:
Answer:
∠T=70°
Step-by-step explanation:
360-110+(2×90)=70°
∠T=70°
Geometry/proportions
Solve for x.
Answers
Answer: x=19
Step-by-step explanation:
a triangle always=60 so
14+12+15=41
41-60
=19
Answer:
x=19 makanya belajar jangan maen game gitu aja susah amat
A triangle has sides of length 3 cm, 5 cm, and 7 cm.
Find the size of the largest angle in the triangle,
Answers
Answer:
C=120 degrees
Step-by-step explanation:
We can use the law of cosines to find an angle when we have all three sides
(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)
49 = 25 +9 -30Cos(c)
49= 34 -30Cos(c)
15 = -30Cos(c)
Cos(c) = -1/2
C=120 degrees
((14 + 3) +(20 - 2)2) + 5
Answers
Answer: 58
Step-by-step explanation:
find the value of x.
Answers
The equation of line r is y = –3/2 x + 5. Line s is parallel to line r. What is the slope of line s?
Answers
Answer:
-3/2
Step-by-step explanation:
Parallel lines have same slopes.
3. What is the range of the quadratic function shown on the graph below?
ده ستA:
Answers
What kind of sequence is this? –165, –180, –195, –210
Answers
please help me. find m<4
Answers
Answer:
m < 38
Step-by-step explanation:
122
20 +
142
180-
142
m < 38
25 apples to 10 oranges. What is the rate of the fruit
Answers
Answer:
The rate of the fruit is 5 apples to 2 oranges.
Step-by-step explanation:
The rate of the fruit is the ratio of apples to oranges. That is, the number of apples divided by the number of oranges into its simplest fraction form:
[tex]x = \frac{25\,apples}{10\,oranges}[/tex]
[tex]x = \frac{5\,apples}{2\,oranges}[/tex]
The rate of the fruit is 5 apples to 2 oranges.
