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]
----------
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 (-∞, ∞).
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These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?
Answer:
first question
mean = 5.11
median = 6
mean = sum of the terms
number of terms
= 271
53
= 5.11
median is the 27th (arrange lowest to highest number)
conclusion, the median is higher than mean, the answer is B.
sec question
a is the answer
third question
a is the answer
last question
mean = 60838
median = 60000
the answer is B
Picture shown!
Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]
Step-by-step explanation:
-8
-9
-10
-11
just subtituted the remaining values of x.
Answer:
x= -1 —> y= –8
x=0 —> y= –9
x=1—> y= –10
x=2—>y= —11
Step-by-step explanation:
x= -1 —>y= -(-1)-9= +1-9 = –8
x=0 —> y= -(0)-9= –9
x=1—> y= -(1)-9= -1-9= –10
x=2—>y= -(2)-9 = —11
I hope I helped you^_^
A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
[tex] \sqrt[3]{4} \times {3}^{ \frac{35 \sqrt{3} }{54} } [/tex]
Step-by-step explanation:
attached
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams
Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
What is the value of x in the equation 0.7x – 1.4 = -3.5?
O -7
Ο Ο Ο Ο
3
7
x² + 4x from 5x² + x
Given that
a
= 3 cm and
b
= 21 cm, work out
θ
rounded to 1 DP.
Answer:
I am sorry I not no
this question
Step-by-step explanation:
sorry dear friend
SOMEONE HELP ME PLEASE
Answer: D,E,F
Step-by-step explanation:
collinear means points on the same line
Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?
Answer:
$3,140,835
Step-by-step explanation:
4,119,184-978,349=3,140,835
hope this helped!
Subtract: 2 -(-6)
I don’t get it at all :/
Answer: 2 -(-6) = 2 + 6 = 8
* (+) - (-) = (+)
If helpful, brainliest please !
Answer and Step-by-step explanation:
If you're confused by what this expression means by looking at it, then try writing or saying out loud the expression.
Two minus negative 6. (2 - (-6))
We know from math that when two negative numbers multiply together, they result in a positive.
We have here the negative 1 (represented as just -, because it isn't necessary to include 1 in the expression) multiply the negative 6.
-1 * -6 = +6.
Now we have the expression 2 + 6.
Add them together.
2 + 6 =
8
8 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Please help me out with this
Step-by-step explanation:
(2x-1)(3x+2) = 0
6x + 4x - 3x - 2 = 0
7x - 2 = 0
7x = 2
X = 2/7
Fill in this X for the 2 formulas, I'll do the first one:
2 * 2/7 - 1 =.....
Then take the 2 answers you get and multiply them with each other so you get the surface size (length * width)
10. State the divisibility rules for 4 and 8 and check if the number 684572 is divisible by 4 and 8.
Answer:
yes the number is divisible by 4 in which we get 171143 without any decimal but if we try to divide it by 8 then we get
85571.5 with decimal include
Describe a relationship between two sets that you can describe mathematically
Answer:
LOVE and CARING for each other
Step-by-step explanation:
the number 126 is divisible by what numbers ? 2,3,4,5,6,9,10
Answer:
1,
Step-by-step explanation:
You may also be interested to know that all the numbers that 126 is divisible by are also known as the factors of 126. Not only that, but all the numbers that are divisible by 126 are the divisors of 126.
5
Select the correct answer from each drop-down menu.
Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily
temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.
Daily Temperature (°F) Cakes Sold
42
39
45
52
48
31
54
61
59
72
62
35
64
61
65
34
67
58
75
45
84
24
The correlation coefficient is close to
Based on this information, we can conclude that Amélie's cake sales are
affected by the daily temperature,
Reset
Next
The correct answer is : -0.7
A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. There is a common tendency to assume that a change in one variable must be the result of a change in the other when the fluctuation of one variable predicts a similar fluctuation in another variable with high accuracy.
Correlation does not necessarily indicate cause, though. For instance, there might be an unidentified factor that has a similar impact on both variables. When it comes to consumer data patterns, being able to distinguish between correlation and causation can be useful and provide insightful information. In the context of marketing, the beer and diapers example is frequently used to illustrate this.
The correlation coefficient is close to: -0.7 (negative because there is an inverse relationship)
Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.
Therefore, the final answer is : -0.7.
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Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1).
A. (4,4)
B. 12,8)
C. (8,8)
D. (1.4)
Answer:
(1,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(5+-3)/2 = 2/2 =1
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(7+1)/2 = 8/2 =4
(1,4)
Answer:
D. (1.4)
Step-by-step explanation:
Solve 15x squared + 40x
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
[tex]15x^{2} = 225x[/tex]{2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
[tex]225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
Simplify
(m^3)^6 - m^18
Answer:
x
2
+
x
−
7
x
+
2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
m^18 - m^18 (using power law of indices)
0
What is one of the best ways to stop procrastinating and study More
Answer:
use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)
Simplify square root of -200
Answer:
14.1421356i
Step-by-step explanation:
hope it helps
cos(-x) = -cosx for all values of x.
True or false?
What does the term "cube root" mean?
Rearrange the formulae to make x the subject:
ay/x - dx= wx
Thanks in advance
Answer:
[tex] \frac{ay}{x} - dx = wx [/tex]
multiply x through out:
[tex]ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay[/tex]
factorise out x²:
[tex] {x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d} [/tex]
take square root on both sides:
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} } [/tex]
Step-by-step explanation:
the biggest obstacle is usually a division by x.
so, let's get rid of it by multiplying both sides of the equation by x
ay - dx² = wx²
then
ay = wx² + dx² = (w+d)x²
y = (w+d)x²/a = x² × (w+d)/a
The segments shown below could form a triangle? True or False
Answer:
FALSE
Step-by-step explanation:
Use the Pythagorean theorem to check.
4²+3²=6² ?
16+9=36?
25≠36
Determine whether each relation is a function
Please help I dont wanna fail math this year
Thanks
(I am in Algebra 1 btw)
can anyone help me solve this function please?
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
MARKING BRAINLIEST !! using the distance formula falculate the perimeter of the triangle below
a. 27.9 units
b. 24.3 units
c. 25.7 units
d. 28.2 units
Answer:
a
Step-by-step explanation:
i didn't use the distance formula, instead i used the pythagrean theorum. i counted the units for the legs, and made three smaller triangle and solved them to find the lengths of the hypotenuse and the added the three of those together to find the perimiter of the original triangle
Which graph shows the function f(x) = x with an input of f(x – 3)?
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
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