The function f(x)= -3x^3 + x^2 +2x rises as x grows very small.
A. True
B. False
Answers
When x is very small (close to 0), the term -3x^3 is much smaller in magnitude than the term x^2. Therefore, the overall value of the function will be dominated by the x^2 term, which is positive. This means that the function will decrease as x becomes very small.
False, the function f(x)=[tex]-3x^3 + x^2 +2x[/tex] does not rises as x grows very small.
How to determine the statementFirst, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.
These variables are known as;
The independent variableThe dependent variableThe function f(x) =[tex]-3x^3 + x^2 + 2x[/tex] does not rise as x grows very small. When x approaches negative infinity, the dominant term is [tex]-3x^3[/tex], which becomes increasingly negative.
Therefore, the function decreases as x grows very small in the negative direction.
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Related Questions
A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?
Answers
Answer:
7,630.2
Step-by-step explanation:
Cylinder Area = 2 x π x r x (r + h)
2 x π x 9 x (9 + 30) = 7,630.2
Answer:
7,630.2
Step-by-step explanation:
A music store sells about 50 of a new model of drum per month at a price of $120 each. For each $5 decrease in price, about 4 more drums per month are sold. What prices of the drum will reach over $6500? And write the equation to this inequality?
Answers
The prices of the drum that will reach over $6500 are between $3 and $8
And the inequality expression is (50 + 4x) (120 - 5x) > 6500
What prices of the drum will reach over $6500?From the question, we have the following parameters that can be used in our computation:
Number of models = 50
Initial price = $120
Also from the question, we have:
Decrease in price by $5Increase in the number of drums by 4So, we have
Models = 50 + 4x
Price = 120 - 5x
This means that the revenue function is
R(x) = (50 + 4x) * (120 - 5x)
When the price reaches over $6500, we have
(50 + 4x) * (120 - 5x) > 6500
Using a graphing calculator, we have
2.911 <x < 8.5
Approximate
3 ≤ x ≤ 8
Hence, the model reaches $6500 between 3 and 8
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A group of workers can plant at a group of workers can plant at a rate of 14 acres per day How many acres can they plant in 2 days
Answers
Answer:
28 acres
Step-by-step explanation:
If the workers can plant 14 acres in one day then they can double that in two days.
14 × 2 = 28
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The product of two factors is 2,400. One of the factors is 30. What is the other factor
Answers
Answer:
80
Step-by-step explanation:
2400/30=80.
Answer:
another factor is 80
Step-by-step explanation:
2400 ÷ 30
= 80
There are 7 brown cars out of 35 cars. What is the ratio of brown cars to the cars?
Answers
Answer:
7:35 (can also be written as 7/35)
Step-by-step explanation:
Please Help Help Help
Answers
EDCB is a rectangle, so:
ED = BC = 12
DC = EB = 29
We know that,
= AB = AE + EB
= 34 = AE + 29
= 34 - 29 = AE
= 5 = AE
Now, in triangle EAD, by pythagonas theoram:
= H² = P² + B²
= H² = 5² + 12²
= H² = 25 + 144
= H = √169
= H = 13
So, AD = 13 cm
_________________
Simpooooool
Pyramid A is a right square pyramid with a height of 133m and a square base with a perimeter of 492m. Pyramid B has a square base with a perimeter of 592m and a height of 247m. Which pyramid has the greater volume and by how many times as great?
Answers
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Answer:
Pyramid B is 2.6888 times the volume of pyramid A
Step-by-step explanation:
The volume is proportional to the height, and to the square of the linear measure of the base.
Then the ratio of volumes will be ...
B/A = (592²·247)/(492²·133) = 86564608/32194512 ≈ 2.6888
Pyramid B has the greater volume by a factor of about 2.6888.
_____
Additional comment
The actual volumes in cubic meters will be 1/48 of the numbers we used in the ratio above.
If you recall that the side length is related to the perimeter by ...
P = 4s ⇒ s = P/4
and the volume is ...
V = 1/3s²h
Then you have ...
V = 1/3(P/4)²h = 1/48·P²h . . . . . . P²h is the number we used above
To prevent deer from running across highways, researchers are investigating sound-emitting devices that would frighten deer before they reach the highway. As part of the investigation, the researchers set up 20 devices along a two-mile stretch of road. When a deer approached a device, the device would activate and emit a sound. The researchers recorded whether the deer moved toward the highway (positive response), away from the highway (negative response), or did not move (neutral response).
The researchers kept the loudness of the sound constant at 60 decibels. However, they varied the pitch of the sound. There were 6 treatment levels, all measured in kilohertz (kHz): 0, 0.28, 1, 8, 15, and 28. The order of the treatments was randomly assigned.
(a) The control in the experiment was 0 kHz, or no sound. What information is gained by using the control with no sound that could not be obtained if no control were used?
(b)(i) What is one advantage to keeping the loudness at a constant 60 decibels for all treatments?
(b)(ii) What is one disadvantage to keeping the loudness at a constant 60 decibels for all treatments?
(c) The results of the experiment are shown in the following bar chart.
Based on the results, would you recommend using a sound-emitting device to keep deer from running across highways? Explain your answer.
Answers
Answer: a) The control in the experiment, 0 kHz, or no sound, serves as a baseline against which to compare the other treatments. By using the control with no sound, researchers can determine whether the deer's response to the sound-emitting devices is due to the sound itself or some other factor. Without the control, it would be unclear what caused any differences in the deer's responses to the different sound treatments.
(b)(i) One advantage to keeping the loudness at a constant 60 decibels for all treatments is that it allows researchers to directly compare the deer's responses to the different sound pitches without the added variable of loudness.
(b)(ii) One disadvantage to keeping the loudness at a constant 60 decibels for all treatments is that loudness may also play a role in deer's response. So, it would be unclear if the different in deer's responses are due to sound frequency only or also caused by sound loudness
(c) Based on the results shown in the bar chart, it can be seen that the deer's response to the sound-emitting devices varies depending on the pitch of the sound. At lower pitches, around 0.28 kHz, the deer's response is more likely to be negative or neutral, indicating that they move away from or don't move towards the highway. At higher pitches, around 15 kHz, the deer's response is more likely to be positive, indicating that they move towards the highway. It suggests that the frequency of sound has an impact on the deer's response. So, based on this data, we cannot recommend using a sound-emitting device to keep deer from running across highways without further research on the optimal frequency and loudness that should be used to make sure that it is effective and safe for the deer.
Step-by-step explanation:
The sound-emitting device may have both advantages and disadvantages depending on the pitch. More research is necessary to find the optimal frequency and volume for the device to be effective and safe.
Explanation:Based on the results of the experiment, it would not be advisable to use a sound-emitting device to prevent deer from running across highways without further research. The experiment showed that the deer's response varied depending on the pitch of the sound. Although the device showed some advantages, such as moving deer away from the highway at lower pitches, it also presented potential disadvantages. At higher pitches, the deer had a tendency to move towards the highway, which could increase the risk of accidents. More research would be needed to determine the optimal frequency and volume to use for the device to be both effective and safe for the deer.
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which is best represented by the following equation 55x + 75.25 = 680.25
Answers
Answer:
11
Step-by-step explanation:
680.25-75.25=605
605÷55=11
Answer:
11
Step-by-step explanation:
Letters A, B, D and E represent numbers on the number line. The number line has evenly spaced marks
Question 12 (include your answers for part one and two in the space below)
Part 1. Find the value of |C|
Part 2. Describe where are you would place this value on the number line above and explain why
Answers
Answer:
0.5
Step-by-step explanation:
sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long
will give brainly and 50 points! Please be original and do it in less then 10 minutes please and ty!
Answers
Answer:
110.88 feet²
Step-by-step explanation:
Area of trapezoids = (base 1 + base 2) × (height ÷ 2)
(15.2 + 11.2) × (8.4 ÷ 2) = 110.88
The area is 110.88 feet²
Question 9 (5 points)
You are taking out a loan of $15,000 for a new car, and you are given 2 options
Bank A - 7.2% for 3 years
Bank B - 8.1% for 5 years
What is the total interest paid for Bank B (Bank profit)?
$
Blank 1:
Answers
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Answer:
$3291.60
Step-by-step explanation:
If the loan is amortized in the usual way, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years
A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86
The total of payments is ...
(60 months) × ($304.86/month) = $18,291.60
Then the profit to the bank is ...
$18,291.60 -15,000 = $3,291.60 . . . bank profit
PLEASE HELP, EXPLAIN HOW YOU GOT YOUR ANSWER AFTER PLEASE .
Answers
Answer:
Area = 288 m²
Step-by-step explanation:
The area of the shape given = area of the square + area of the triangle
= (side length)² + ½*base*height
side length = 16 m
base = 16 - 8 = 8 m
height = 8 m
Plug in the values into the equation
Area = 16² + ½(8)(8)
Area = 256 + 32
Area = 288 m²
the image point using the translation (x,y) (x + 4, y -1) for the point (3,3) is?
Answers
The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)
What is transformation?Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation
The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.
The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)
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Can someone please help me with this algebra
Answers
Answer: d
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
6. Which fraction is equal to 30%
Answers
Answer:
3/10
Step-by-step explanation:
A sailfish can swim u to 68 miles per hour. At this rate, how far can a sailfish swim in 1/4 hour?
A. 34 mi.
B. 27.2 mi.
C. 17 mi.
D. 10.2 mi.
Answers
Answer:
C. 17 miles
Step-by-step explanation:
Divide 68 by 4 since it is a fourth of an hour
Tom's toy box is shown below. The toy box is shaped like a rectangular prism: It has 5 wooden faces and is open on the top.
What is the total surface area of the 5 fades of the toy box that are wooden?
O A 1,100 squares inches
O B 3,009 square inches
O C 900 square inches
O D 255 square inches
Don’t answer if you don’t know, and whoever answers correctly will get Brainliest. :)
Answers
Answer:
O C 900 square inches
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
Answers
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Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
QUESTION 9 of 10: Mutual funds can be:
a) Purchased in any amount
b) Can be focused on a single asset class
c) Invested by sector
d) All the above
Submit
Answers
Answer: d) All of the above
Step-by-step explanation:
How many pints are needed for 2 3/4 pots of soup?
Answers
Answer:
1.38
Step-by-step explanation:
2 cups is one pint so if 3/4 is .38 then you would put it together to get 1.38
Do you find it easy or challenging to create your own rule to generate a pattern? Explain!
Answers
Answer:
yes but only because I don't do it often
approximate v46 to the nearest hundredth
Answers
Answer:
6.78
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
Answers
Answer:
26. D) $252
27. A) -6.7 + 6.8
Step-by-step explanation:
26. 400 * 0.3 = 120
400 - 120 = 280
280 * 0.1 = 28 (because the 10% is additional, cannot add it to the original 30%)
280 - 28 = 252
27. -4.5 + 4.4 = -0.1
- 6.7 + 6.8 = 0.1
-0.1 + 0.1 = 0
100 PTS
Use the table to determine the appropriate model of the function,
x 0 1 2 3 4
f(x) 3 7 29 87 199
a. linear
b. quadratic
c. cubic
d. exponential
Answers
Answer:
The answer is D. An Exponential Function.
Step-by-step explanation:
So the table is setup as;
x : 0 1 2 3 4
f(x): 3 7 29 87 199
If you plot the points on the coordinate plane, the value of x increases, and value of y increases .
It is not linear, because slope between two points is not the same, so you can rule that one out.
It´s not quadratic or cubic, because it is not intercepting the x axis.
So, it can only be D, an exponential function since we ruled out every other option.
I hope this helps :))
Number that appears the most in a given set of data
A) Mean
B.) Median
C) Mode
D) Range
I'll give brainliestttt
Answers
It appears most in a given set of data.
for 20 please help TT
Answers
Answer:
a
Step-by-step explanation:
is 3/8 bigger than 45/100
Answers
0.375 and 45/100 is 0.45 the tenth place is larger making the number larger
If tan k times 90 = 0 then k is an even integer.
Answers
It is true that If tan k times 90 = 0 then k is an even integer.
What is meant by integer?An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.
Here,
Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).
To Use the unit circle
tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)
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y=x+8 y=9x+72 substitution
Answers
I think this is the right answer it has been a while since I had math sorry. Hope this helps