Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](0,\infty)[/tex]
==============================================================
Explanation:
I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.
The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.
The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]
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Summary:
Domain: [tex](-\infty,\infty)[/tex]; Range: [tex](0,\infty)[/tex]
So that's why the answer is choice A
The domain and range of the function f(x) are (-∞, ∞) and (-∞, ∞) respectively.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 2(3x) can be simplified to f(x) = 6x.
The domain of a function is the set of all possible input values for x, while the range is the set of all possible output values for f(x).
Since there are no restrictions on the value of x that can be plugged into the function, the domain of f(x) is all real numbers, or (-∞, ∞).
To find the range, we can look at the behavior of the function as x varies. As x increases or decreases, the value of f(x) also increases or decreases, respectively, at a rate of 6 times the rate of change of x.
Therefore, the range of f(x) is also all real numbers, or (-∞, ∞).
To learn more on Functions click:
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F(x) = Х
Need to transform it into a vertical stretch by a factor of 2 followed by translation 1 unit up
Clark wants to gift some chocolates and cakes to his friends. If he has to give 18 chocolates and 12 cakes equally to the friends without any left over, find the highest number of friends to whom he can distribute the cakes and chocolates.
Answer:
6
Step-by-step explanation:
6 is the highest number that goes in to both numbers
Is (8, –2) a solution to the equation y = 2?
Answer:
No
Step-by-step explanation:
Any point that aligns on the line of y = 2 is a solution. But (8, -2) falls below that line since the point's y-coordinate is equal to -2, not 2. Hope this helps!
Circle the statement or statements that are not equal to 1.
5/9 X 9/5
17/12-5/12
3/4 + 2/8
12/4 - 11/9
10 X 1/10
You can work only 13 hours this week. The following week you can work 6 hours. How much additional time will it take the third week if the job will take 27 total hours?
Answer:
8 more hours
Step-by-step explanation:
13 hrs + 6 hrs = 19
27hrs total - 19hrs
27-19+=8 more hours. TADA!!!!
Answer:
8
Step-by-step explanation:
total hours you can work 3 week : 27 hours
total hour you can work in first and second week: 13+6= 19 hours
=>the third week will take: 27 - 19=8 hours
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
O A. 360°
• B. 180°
• C. 270°
O D. 90°
Answer:
B. 180 degrees
Step-by-step explanation:
They are exactly across from one another. Here, this will make more sense.
0 (starting point)
|
270-- -- 90
|
180 (where you ended up)
Now till the screen towards the right. The zero and the 180 should be pointing in the same direction as the squares.
Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
What is rotation in graph?In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.
According to the question
ABCD is rotated counterclockwise about the origin.
Degrees was ABCD transformed to form A'B'C'D' is
180 degrees about the origin
As when we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.
So, as per figure ABCD which is in first quadrant were x and y both are positive and figure A'B'C'D' third quadrant were x and y both are negative.
Hence, Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
To know more about rotation in graph here:
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Divide 48 into the ratio of 2:6
Answer:
12:36
Step-by-step explanation:
2 + 6 = 8
48/8 = 6
6 * 2 = 12
6 * 6 = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?
Answer:
1.36
Step-by-step explanation:
9.52/7
1.36 is the length of one of the 7 equal pieces
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answer:
please help me my friend
'pjgopgpofmg[fmpgmfpmgpfm
Answer:
shshhshsshshdjsjsjsjjdjsjsjd
PLEASE HELP ASAP -- WITH THE WORKK
50 points
Part-A:-
(f×g)=[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]
[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]
[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]
Now
[tex]\\ \sf\longmapsto (f.g)(3)[/tex]
[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]
[tex]\\ \sf\longmapsto -72+144+560[/tex]
[tex]\\ \sf\longmapsto 72+560[/tex]
[tex]\\ \sf\longmapsto 632[/tex]
Part-B:-
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]
[tex]\\ \sf\longmapsto 9+9-70[/tex]
[tex]\\ \sf\longmapsto 18-70[/tex]
[tex]\\ \sf\longmapsto -52[/tex]
Now
[tex]\\ \sf\longmapsto g(f(3))[/tex]
[tex]\\ \sf\longmapsto g(-52)[/tex]
[tex]\\ \sf\longmapsto 4(-52-3)[/tex]
[tex]\\ \sf\longmapsto 4(-55)[/tex]
[tex]\\ \sf\longmapsto -220[/tex]
Part:-C
[tex]\\ \sf\longmapsto g(-2)[/tex]
[tex]\\ \sf\longmapsto 4(-2-3)[/tex]
[tex]\\ \sf\longmapsto 4(-5)[/tex]
[tex]\\ \sf\longmapsto -20[/tex]
Now
[tex]\\ \sf\longmapsto f(g(-2))[/tex]
[tex]\\ \sf\longmapsto f(-20)[/tex]
[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]
[tex]\\ \sf\longmapsto 400-60-70[/tex]
[tex]\\ \sf\longmapsto 400-130[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
Part-D:-
g×f=f×g[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]
[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]
[tex]\\ \sf\longmapsto 32-96+560[/tex]
[tex]\\ \sf\longmapsto -64+560[/tex]
[tex]\\ \sf\longmapsto 496[/tex]
4. Andrea's savings change by -$9 each time she
goes bowling. In all, it changed by $99 during the
summer. How many times did she go bowling in the
Summer?
I need help.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system is shown represents this equation. x + y = 24 3x + 5y = 100
X=10
Y=14
Step-by-step explanation:
Solve simultaneously using substitution method as shown in the image
If ya'll could help me with this one, it would be highly appreciated :]
Answer:
THE ANSWERE IS POINT B
And the scale factor is 2/6 I'm not so sure of this one :-[
Step-by-step explanation:
Please give me brainliest I did help you right?
if b = 5, what is b³
Answer:
125
Step-by-step explanation:
5³= 5 × 5 × 5 = 125
Answer:
125 is your answer.
Step-by-step explanation:
b = 5
=5 X 5 X 5
=125
5 1/2
score
Help plz
is 1/3 and -1/3 parallel?
Simplify 5/8+3/4+2/5
David makes 17 dollars in an hour and works 25 hours a week.linda makes 25 dollars a hour abd works 7 hours each week. How much do they both make together
Step-by-step explanation:
David makes 17(25)
and
Linda maked 25(7)
so it would make the equation 17(25)+25(7)
425+175 together they would be making
600 dollars a week
i need this in less than 5 minutes :((
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
Equation : -2 (4g - 3) = 30
Answer:
g = -3
Step-by-step explanation:
-2 (4g - 3) = 30
-8g + 6 = 30
-8g = 24
g = -3
Answer:
[tex] \boxed{g = -3} [/tex]
Step-by-step explanation:
[First, distribute the factored term on the left side of the equation (distribution property of equality)]
-2 ( 4g – 3 ) = 30 →
-2 ( 4g ) – -2 ( 3 ) = 30 →
-8g + 6 = 30 →
[Next, subtract 6 from both sides (subtraction property of equality)]
-8g + 6 – 6 = 30 – 6 →
-8g = 24 →
[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]
-8g / -8 = 24 / -8 →
g = -3
What is the value of x in the equation 3x - 4 (2x - 5) = 15
Hey there! I'm happy to help!
Here is our equation
3x - 4 (2x - 5) = 15
First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.
3x-8x+20=15
We combine our like terms (our x-values).
-5x+20=15
We subtract 20 from both sides.
-5x=-5
We divide both sides by -5.
x=1
Have a wonderful day and keep on learning! :D
Answer: x = 1
Step-by-step explanation:
Given
3x - 4 (2x - 5) = 15
Expand parentheses and apply the distributive property
3x - 4 · 2x - 4 · (-5) = 15
3x - 8x + 20 = 15
Combine like terms
(3x - 8x) + 20 = 15
-5x + 20 = 15
Subtract 20 on both sides
-5x + 20 - 20 = 15 - 20
-5x = -5
Divide -5 on both sides
-5x / -5 = -5 / -5
[tex]\boxed{x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
anyone this help ,,,,,
=======================================================
Explanation:
We start with set M = {m,a,t,h,s}
Then we cross off any letter we find in set N
So we'll cross off the 'm' and 'a' since they are both in N. We're kicking these letters out of the set.
We go from {m,a,t,h,s} to {t,h,s}
We leave t,h and s alone as those letters aren't in set N. So we don't kick them out.
Answer: {t,h,s} choice A
someone pls explain how to get the answer pls..
Answer:
B
Step-by-step explanation:
For example, if i gave u 28
The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28
Each spot has it own name
For example if i gave u the number 12345
5 is in the first spot, therefore 5 x 1 =5
4 is in the tenth spot, therefor 4 x 10 = 40
3 is in the hundred spot, therefore 3 x 100 =300
2 is in the thousand spot, therefore 2 x 1000=2000
1 is in the ten thousand spot, therefore 1 x 10000
=100000
So if u add all these numbers together u will get
12345
OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600
The 3 in 74139 is in the ten spot, so 3 x 10=30
So the product is to multiply them together
600 x 30 =18000
8 + 9x + 4(11 -- 2x)
-41-2x – 7) + 6x - 7
9 - 31–4 + 3x) + 12x
Answer:
240766 - 52731x + 840x^2 + 144x^3
1.Can someone explain to me about decimal place? take this as example. please help me.
2. and also, please help me with significant figures, i don't understand it.
PLEASE HELP 25 points and brainliest!
Answer: 8.1 × 10¹⁰
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
Solve:
Given expression
(3 × 10⁶) × (2.7 × 10⁴)
Put like terms together
=3 × 2.7 × 10⁶ × 10⁴
Combine like terms
=8.1 × 10⁶⁺⁴
=[tex]\boxed{8.1*10^{10}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
8.1 x 10^10
Step-by-step explanation:
When you do this type of problem you want to combine the like terms together, in this case is this.
3 × 2.7 × 10⁶ × 10⁴. So you will get.
8.1 x 10⁶⁺⁴
Which is 8.1 x 10^10 simplified
Solve the inequality.
2 - | 2/5x +3 | > 3/5
Answer:
Inequality form:
-11< x < -4
Interval Notation:
(-11, -4)
 This has to be 20 letters long, but !!!!!Im overthinking this
Answer:
2559458#763677_6$7387353637648383636
Answer:
For part5 every single one will be 'move 2 units right and 7 units down.'
Step-by-step explanation:
Because on part2 it told to translate the figure 2 units right and 7 units down, so every point will move 2 units right and 7 units down. I hope this helps.
Which equation has the solution x=-4? a 2(x-4)=16 b 3x+6-2x=-2 c 1/4x+4=3 d(x+6)3=-6 need help plz
Answer:
C: 1/4x + 4 = 3
Step-by-step explanation:
1/4x + 4 = 3
1/4x = 3 - 4
x = - 4
Thus, option c gives out the solution x = - 4.