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
Please someone help me, I really need help with this.
Answers
Answer:
9
Step-by-step explanation:
its 9 because that's where 3 pens are plotted in the graph
John rode 2 kilometers on his bike. His sister Sally rode 6,000 meters on her bike. How many more kilometers did Sally ride?
Answers
Answer:
I don't understand, please write again
Answer:
Sally rode 4 kilometers more than her brother.
Step-by-step explanation:
1,000 meters = 1 kilometer
So if you convert Sally's meters into kilometers, you get 6 kilometers. John rode 2 kilometers so you do 6 kilometers - 2 kilometers = 4 kilometers.
Now you got your answer!
Hope this helped.
An angle measures 160° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
The two angles are 10 degrees and 170 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
Let the angle be called "x", and the supplementary angle be called "180-x"
Converting words to math: x-160=180-x
Add x to both sides: 2x-160=180
Simplify: 2x=20
Divide by 2: x=10
Let me know if this helps!
What is the total area of the figure below?
Answers
Answer:
141
Step-by-step explanation:
First find the area of the trapezoid
(16 + 10) * 9 / 2 = 117
Then find the area of the triangle
0.5 * b * 6 = 24
Add them both together
117 + 24 = 141
Answer: 141
GIVE ME BRAINLEST
Step-by-step explanation:
Plot the point, (−1,−1.5).
Select the point tool. Then, click on the graph to plot the point.
Answers
Answer:
hope this helps
Step-by-step explanation:
29
2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.
Answers
Step-by-step explanation:
Let's solve your inequality step-by-step.
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
w=0 or w=9
Check possible critical points.
w=0(Doesn't work in original equation)
w=9(Works in original equation)Answer:
w<0 or w>9
Pleaseeeee I’ll mark u brainleast
Answers
Answer:
1: x = 10
2: x = 2
3: x = 5
4: x = -5
Step-by-step explanation:
2. c
3. a
4. h
Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.
Answers
Answer:
First, we know that the area of a rectangle of width W and length L is:
A = W*L
In the case of Roberto's plan, we can see that the length of the whole rectangle is:
L = 1.5ft + x + 1.5ft = 3 ft + x
And the width is:
W = 3ft + x + 3ft = 6ft + x
Then the area of the whole thing is:
A = (3ft + x)*(6ft + x)
This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.
Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;
The total area of Roberto's borders is:
Area of the border = (3ft + x)*(6ft + x) - x*x
= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2
= x*9ft + 18ft^2
f(x) = 2^x
what is the domain ?
range ? asymptote ? and transformation
Answers
y=2x
Step-by-step explanation:
I dont know what else there is sry
A right cone has a slant height of 17 feet, and the diameter of the base is 30 feet. What is the height, h, of the cone?
I WILL MARK BRANILEST
Answers
Answer:
8
Step-by-step explanation:
Answer:
Its 8 100%
Step-by-step explanation:
Edit: OK its right here is the The work And no I didn't copy
Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate. The table compares Mancini's depth (in meters) and the water pressure around him(in atmospheres). what was the pressure around manco when he was 30 meters deep?
Answers
Answer:
4.0 atm
Step-by-step explanation:
it looks to be a proportional ratio so for every meter pressure increases by .1 atm so if you add .8 to 3.2 you get 4 atm
how many centimeters is the growth rate of the plant per week? Please i really need this. PICTURE WHEN YOU CLICK
Answers
Answer:
4 and 3/4 YOU GOT THIS!!
Step-by-step explanation:
Answer:
I believe the answer would be 1/2 a centimeter per week, hope this helps
Sunita creates a scale model of an aeroplane. The scale of the model is 4 cm to 15 m. Sunita's model has a wingspan of 17 cm. What is the wingspan of the real aeroplane?
Answers
Answer:
36.43m
Step-by-step explanation:
Let the wingspan of the real aeroplane = x
The scale of the model is 4 cm to 15 m.
= 4: 15 = 4/15.
Sunita's model has a wingspan of 17cm.
Hence:
4cm/15m = 17cm/xm
Cross Multiply
4x = 15 × 17
4x = 255
x = 255/4
x = 36.428571429 m
Approximately = 36.43 m
Therefore, the wingspan of the real aeroplane is 36.43m
What is the difference between infinite solutions and all real numbers?
Please explain or provide examples.
Willing to give brainliest!!
Answers
Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)
Which of the following ordered pairs
make this equation true?
y = 2x - 7
A. (1,9)
B. (-3, 4).
C. (4,1)
D. (-1, 5)
Answers
Answer:
Step-by-step explanation:
Isn't it c ?
y=2x-7
plug in
1 =2(4) - 7
1= 8-7
1=1
Simplify the expression: 33 - (24 + 3
Answers
Answer:
33-27
Step-by-step explanation:
Answer:
The answer is 6
Step-by-step explanation:
you do what is in the parentheses then do 33-27 which is 6
. Rewrite the expression by using the Distributive Property: 8(5x - 4) *
Answers
Answer:
40x-32
Step-by-step explanation:
First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32
Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
Answers
The domain of the function f(x) = 2x² + 2x + 4 is (-∞, ∞).
What is Quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
You have the quadratic function
f(x) = 2x² + 2x + 4 ,
and remember that all quadratic functions are parabolas opening at point called the vertex.
Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.
Thus, in interval notation the domain of the function is (-∞, ∞).
Learn more about Quadratic Equation from;
https://brainly.com/question/2263981
#SPJ1
Need help what’s the irrational number?
Answers
Answer:
B. √6
Step-by-step explanation:
Irrational number is a number that cannot be expressed in a form of fraction
2.5 = 5/2
√6 = 2.49...
1/2 = 1/2
√9 = 3/1
What is the greatest common factor of 42 and 15?
Answers
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
3
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
I need help i don't understand
Answers
Answer:
50%
Step-by-step explanation:
50% aaaaaa.................
How would you define slope?
Answers
Answer:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Help please i always get the numbers mixed up.
Answers
can someone help me out it would be great if u can explain it.
Answers
Answer:
113.1
Step-by-step explanation:
formula for circle is pie X radius^2
Alexa has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 4.5 points for each visit to the movie theater. She needs 61 points for a free movie ticket. How many visits must Alexa make to earn a free movie ticket?
Answers
Answer:
8
Step-by-step explanation:
25+ (4.5 x 8)
25+ 36
=61.
She needs 8 visits
Answer:
8
Step-by-step explanation:
61 - 25 = 36
36 divided by 4.5 = 8
A recipe that makes 8 cups of limeade uses 2 cups of lime juice.
Describe the related ratio 2:8 using ratio language. Does the ratio involve only parts, or does it involve a part and the whole?
Answers
Answer:
For every 2 cups of lime juice, the recipe makes 8 cups of limeade; a part and the whole.
Step-by-step explanation:
The ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.
and, the ratio involve a part and the whole.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
A recipe that makes 8 cups of limeade uses 2 cups of lime juice.
and, ratio = 2:8
Here, the ratio shows that for 2 cups of lime juice there needed proportion of 8 cups of limeade.
and, the ratio involve a part and the whole.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ2
-2(7 – n) + 4
What is the answer to this any body know it??????????
Answers
Answer:
2n+10
Step-by-step explanation:
you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10
if you are solving for the variable n then you would want your equation like this 2n+10=0
next you would put the 10 on the other side of the equation and have 2n=-10
finally you would divide by 2 and get n=-5
7,525 ÷ 35 what is the value of the expression
Answers
Answer:
215
Step-by-step explanation:
What is the ratio of a:b, knowing that a-b / a+b = 3/5
Answers
Answer
i am going to give you 2 answer
1. solving for A is: A=3/5 -b
2. solving for B is: B=3/5 -a
Step-by-step explanation:
correct me if I'm wrong
let me know if it's correct or not
Answer:
soo what is the answer
Step-by-step explanation: