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
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
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.
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%.
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.
Which holiday showed greater variability in the
data?
Answers
Answer:
christmas
Step-by-step explanation:
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
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.
please help me. find m<4
Answers
Answer:
m < 38
Step-by-step explanation:
122
20 +
142
180-
142
m < 38
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
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.
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.
3. What is the range of the quadratic function shown on the graph below?
ده ستA:
Answers
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
What kind of sequence is this? –165, –180, –195, –210
Answers
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
Someone help for 5 and 6
Answers
what type of transformation is shown
Answers
Answer:
A reflection
Step-by-step explanation:
It has been mirrored.
find the value of x.
Answers
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
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
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
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
Simplify 6 4/60 simplyfy
Answers
[tex] \sf{\dfrac{4}{60} = {\dfrac{1}{15}}} [/tex]
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
Can someone help me , I need this answer ASAP plz
Answers
Answer:
4.62
Step-by-step explanation:
I think.
((14 + 3) +(20 - 2)2) + 5
Answers
Answer: 58
Step-by-step explanation:
is 2.6457513110 a rational number?
Answers
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°
whats 2+2 i need this by 10 minw
Answers
Answer:
4 :)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
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
