A total of $540 being donated to the school.
The formula for calculating the amount of money that will go to the school is as follows: (Selling Price - Cost of Production) x 25% x Number of Sets Sold. In this case, the calculation is (4.55 - 1.75) x 0.25 x 800 = $540. This means that if 800 sets of pens are sold, $540 will go to the school. This can also be expressed as 25% of the profit from each set (the difference between the purchase price and the amount it costs to make) multiplied by the total number of sets sold. Thus, if 800 sets of pens are sold, the school will receive 25% of the profit from each set multiplied by 800. This results in a total of $540 being donated to the school.
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what is the frequency in hertz of a wave with a wavelength of 5.7 km?
Frequency and wavelength are related by the equation f=cλ, where c is the speed of light in a vacuum. The speed of light in a vacuum is 2.9979×108 m/s. Wavelength must be converted from kilometers to meters, then the values can be plugged into the equation. f=2.9979×108 m/s5,700 m=52,594 Hz. The resulting frequency is 52,594 Hz or 5.3×104 Hz when rounded to the correct number of significant figures.
Define wavelength?The wavelength of a periodic wave is the distance over which its shape repeats in physics.The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as its wavelength.The distance between two consecutive crests or troughs of a wave is defined as its wavelength. It is calculated in the wave's direction.Wavelength is usually represented by the Greek letter lambda (); it equals the speed (v) of a wave train in a medium divided by its frequency (f): = v/f.The wavelength of an electromagnetic wave is the distance between consecutive crests of a wave.To learn more about wavelength refer to:
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Which figure has an area smaller than the one shown?
Answer: The 4th option
Step-by-step explanation:
4 cm x 3cm is 12 cm. 2 cm x 5 cm is 10 cm.
Use the graph below to answer this question: graph of line going through negative 2, negative 3 and 1, 3 Find the average rate of change for the given function from x = 1 to x = 2.
Average rate of change for the given function is 2.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given that the graph is a line. So the function is linear.
Average rate of change of a linear function is equal to the slope of the given function, and it will be a constant at any two points on the line.
We have two points from the line (-2, -3) and (1, 3).
Slope of a line with two points (x, y) and (x', y') is,
slope = (y' - y) / (x' - x)
Slope of the given function with two points (-2, -3) and (1, 3) is,
Slope = (3 - -3) / (1 - -2) = 6/3 = 2
Average rate is same value from x = 1 to x = 2.
Hence the average rate of change is 2 for the given function.
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IN achool 25% of the teacher teach baic math if there are 50 bauc math teacher how many teacher are there in the chool
There are 200 teachers in a school.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100, also defines a fraction or a ratio in which the value of the whole is always 100
Given information is
25 % of the teachers teach basic math, there are 50 basic math teachers
To calculate how many teachers are there in the school.
Let the total number of teachers =c
Number of basic maths teacher=50
Percentage of teachers of basic math = 25
According to question
25% of x=50
0.25*x=50
x=200
Hence the total number of teachers is 200
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someone please help!!
For given exponential function f(t), f(7)=24.7.
What are exponential functions?An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
Exponential Growth
In Exponential Growth, the quantity increases very slowly at first, and then rapidly. The rate of change increases over time. The rate of growth becomes faster as time passes. The rapid growth is meant to be an “exponential increase”. The formula to define the exponential growth is:
y = a ( 1+ r )ˣ
Where r is the growth percentage.
Exponential Decay
In Exponential Decay, the quantity decreases very rapidly at first, and then slowly. The rate of change decreases over time. The rate of change becomes slower as time passes. The rapid growth meant to be an “exponential decrease”. The formula to define the exponential growth is:
y = a ( 1- r )ˣ
Where r is the decay percentage.
Now,
Given function f(t)=300(0.7)ᵗ
f(7)=300*0.7⁷
f(7)=300*0.0823
f(7)=24.7
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Kylar i a lifeguard at a wimming pool. Lat week, the worked 3 3/4 equal-length hift, becaue rain cloer the pool early one day. Thoe hift totaled 11 1/4 hour of work
Kylar is a lifeguard at a swimming pool, The total number of hours in a single shift done by Kylar is 3 hours.
Let the total number of hours in a single shift be = A
Now , The total length of equal shifts Skylar worked last week = 3 3/4 shifts
The total length of equal shifts Skylar worked last week = 15 / 4 shifts
The total number of hours Skylar worked in the week = 11 1/4 hours
The total number of hours Skylar worked in the week = 45 / 4
Now , the equation will be
Total length of equal shifts Skylar worked last week is equal to total number of hours Skylar worked in the week.
So ,
Total length of one shift of Skylar = total number of hours Skylar worked in the week / Total length of equal shifts Skylar worked last week
On substituting the values in the equation , we get
Total length of one shift of Skylar A = ( 45/4 ) / ( 15/4 )
On simplifying the equation , we get
A = ( 45/4 ) / ( 15/4 )
A = 45 / 15
A = 3 hours
Therefore, The total number of hours in a single shift done by Kylar is 3 hours.
Complete question: Skylar is a lifeguard at a swimming pool. Last week, they worked 3(3)/(4) equal -length shifts, because rain closed the pool early one day. Those shifts totaled 11(1)/(4) hours of work. How long is a single shift?
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[tex] log_{9 }( {1}^{x} ) [/tex]what's the answer :
the options
1
0
9
x
The value of the logarithmic expression is (b) 0
How to evaluate the logarithmic expressionFrom the question, we have the following parameters that can be used in our computation:
log₉(1ˣ)
The logarithmic rule log(1^b) = 0 can be used to evaluate log(1^x) base 9:
log₉(1ˣ)
This is true because
Since 1^x = 1, no matter what the value of x is,
Then log(1^x) base 9 = x = 0.
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Lost on this one think anyone can help me with the following problem: (1,204 -299) ÷ 1?
Answer:
Step-by-step explanation:
solve what's in the parenthesis.
1,204-299=905
so....
905/1
answer is: 905.
if you would like, use a website called Desmos graphing calculator.
its a calculator of all subjects, and it graphs.
Identify the real fifth root(s) of -32.
-2
-1
0
2
2 and 2
3 and -3
4 and 4
no real roots
2 is the fifth root of 32.
What is 32 to the fifth power?Using the problem as a starting point, we may write the equation as x5=32 x 5 = 32. This equation has to have a solution. The log function can be used to both sides of the equation. Therefore, the right response is 2.
What is meant by a number's root?A. In mathematics, the term "root" refers to a number that, when multiplied by itself, equals the original number.. Because 49 is created by multiplying 7 by itself twice in this instance, we refer to 7 as the square root of 49. Since 333=27, the cube root of 27 is 3.
[tex]\sqrt[5]{32}[/tex]
[tex]\sqrt[5]{2*2*2*2*2}[/tex]
= 2
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An Assembly Line Has 10 Stations With Times Of 1, 2, 3, 4, …, 10, Respectively. What Is The Bottleneck Time?
The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.
The bottleneck time is the longest time it takes to complete any task in the assembly line. In this case, the longest time needed is 10, which is the last station. This means that all the other tasks must be completed within 10 seconds in order for the entire assembly line to proceed.
The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.
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Rachel uses 8. 3 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
She used 7.90 paint with white paint on her bedroom walls.
To solve such problems we must know about fractions and subtraction.
Fraction
A fraction is a way to describe a part of a whole, the amount of white paint Jane used is 7.4 pints.
Given to us,
Total paint used my Jane = 8.3 pints = 83/10 pints,
the amount of blue paint = 2/5 pints,
Amount of white paint
amount of white paint = Total paint used - the amount of blue paint
=83/10-2/5
=83/10-2*2/5*2
=83/10-4/10
=79/10
=7.9pints
Hence, the amount of white paint Jane used is 7.9pints.
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Fill in the chart below.
Purpose
1.) Dress for wedding
2.) Books for college
WORK FOR #1, 2:
Principal
$250.00
$360.50
Ordinary Exact
Interest
Interest
Rate
Rate
6%
Term
(Days)
75
3.5% 180
a.)
a.)
Interest
b.)
b.)
Maturity Value
Filling in the chart below with the interest and maturity future value is as follows:
Purpose Principal Interest Term (Days) a) Interest b) Maturity
Wedding Dress $250.00 6% 75 days $3.10 $253.10
College Books $360.50 3.5% 180 days $6.28 $366.78
What is the future value?The future value represents the compounded present value.
Compounding involves the interest of subsequent months computed on the accumulated interest.
The future value can be computed using an online finance calculator.
Dress for the Wedding:N (# of periods) = 75 days
I/Y (Interest per year) = 6%
PV (Present Value) = $250
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $253.10
Total Interest = $3.10
Books for College:N (# of periods) = 180 days
I/Y (Interest per year) = 3.5%
PV (Present Value) = $360.50
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $366.78
Total Interest = $6.28
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what is the unsigned binary equivalent of the following unsigned decimal integer value?
The unsigned binary equivalent of the following unsigned decimal integer value 12 is 1100
An integer is a whole number that can be positive, negative, or zero. An unsigned integer is a non-negative integer that only represents positive values or zero.
To convert an unsigned decimal integer to its equivalent binary representation, you'll need to understand the basic concepts of binary and the process of converting decimal to binary.
Here we have to consider the unsigned decimal integer value 12.
To convert it to binary, start by determining the largest power of 2 that is less than or equal to 12, which is
=> 2³ = 8.
Write a 1 in the binary place corresponding to 2³ and subtract 8 from 12 to get 4.
=> 12 - 8 = 4
Then, determine the largest power of 2 that is less than or equal to 4, which is
=> 2² = 4.
Write a 1 in the binary place corresponding to 2² and subtract 4 from 4 to get 0.
=> 4 - 4 = 0
The binary equivalent of 12 is 1100.
Complete Question:
what is the unsigned binary equivalent of the following unsigned decimal integer value 12?
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A shirt that costs $20 is on sale for 20% off. What is the discounted price of the shirt?
well, 100% - 20% = 80%, so the discounted price is really 80% of the original 20 bucks, what's 80% of 20?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 20}}{\left( \cfrac{80}{100} \right)20}\implies \text{\LARGE 16}[/tex]
To do this you would do
$20 times (20/100) to get $20*(.20) = $4 which is the discounted price.
%(Percent) means "a specified amount in or for every hundred." In this case 20 for every 100.
Bob's Gift Shop sold 400 cards for Mother's Day. One salesman, Genesis, sold 2% of the cards sold for Mother's Day. How many cards did Genesis sell?
Answer:
Step-by-step explanation:
400x2% of that amont would equal 800
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many silver and gold medals were won?
50
75
100
120
The number of silver and gold medals won is given as follows:
75.
How to obtain the number of silver and gold medals?The number of silver and gold medals is obtained applying the proportions in the context of this problem.
The percentage equivalent to silver and gold medals is given as follows:
Gold: 20%.Silver: 30%.20 + 30 = 50%.
Hence half the number of medals was either silver or gold, thus the number is given as follows:
0.5 x 150 = 75 meddals.
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find the ordinary generating function for the number of ternary sequences in which any occurrence of 2 has a 1 both immediately before and immediately after it
To find the OGF for the number of ternary sequences in which any occurrence of 2 has a 1 both immediately before and immediately after it, we can use a recursive approach.
Let A(x) be the OGF for sequences that start with a 1 and end with a 1. And let B(x) be the OGF for sequences that start with a 1, contain a 2, and end with a 1.
We have A(x) = x + [tex]x^{2}[/tex] + [tex]x^{3}[/tex] + [tex]x^{4}[/tex] + ...
And B(x) = x * [tex]A(x)^{2}[/tex], since a 2 can only appear after a 1 and must be immediately followed by another 1.
Finally, the OGF for the desired sequence is B(x) = x * x + [tex]x^{2}[/tex] + [tex]x^{3}[/tex] + [tex]x^{4}[/tex] + ...)^2 = x * [tex]A(x)^{2}[/tex]
So, the OGF for the number of ternary sequences in which any occurrence of 2 has a 1 both immediately before and immediately after it is x * ( x + [tex]x^{2}[/tex] + [tex]x^{3}[/tex]......)^2.
The ordinary generating function (OGF) for a sequence is a formal power series that encodes information about the sequence.
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HELP ME OMG IM ALMOST ON THE LAST QUESTION
Answer:
see attached
Step-by-step explanation:
You want the expressions in the correct sequence to prove ...
z + z + z + z = 4z
Multiplication identityThe multiplicative identity property tells you z × 1 = z. Anything multiplied by 1 is unchanged. This lets us replace z in the original expression by z·1 in every case.
Distributive propertyThe distributive property tells you that multiplication distributes over addition. This means ...
z ·1 + z · 1 + z · 1 + z · 1 = z · (1 + 1 + 1 + 1)
AdditionThe properties of addition and the set of integers tell us that ...
1 + 1 + 1 + 1 = 4
so we can replace the indicated sum by its value:
z · (1 + 1 + 1 + 1) = z · 4
Commutative propertyThe commutative property of multiplication says a product is the same if the operands are in a different order:
z · 4 = 4·z = 4z
This is the last step in showing z + z + z + z = 4z.
The correct order of tiles is shown in the attachment.
<95141404393>
Zachary has mangos and papayas in a ratio of 41:5. How many mangos does he have if he has 50 papayas?
Factorise x^2 + 6x - 27
Answer:(x + 9)(x - 3)
Step-by-step explanation:
⇒x² + 6x - 27
breaking middle term
⇒x² + 9x - 3x - 27
⇒x (x + 9) - 3 (x + 9)
⇒(x + 9)(x - 3) ...answer
hope that helps ...
a circular treehouse has a floor that is 490.625ft.to add a thin strip of waterproofing around the floor how many feet are needed
Answer:
The answer is 1548.99ft.
Step-by-step explanation:
To determine the length of the strip needed for waterproofing, you need to calculate the circumference of the circular floor. The formula for the circumference of a circle is 2π times the radius. If the floor of the treehouse has a radius of 490.625/2= 245.3125ft, then the circumference of the floor is:
2π x 245.3125ft = 1548.99ft
So, the length of the strip needed for waterproofing around the floor is approximately 1548.99ft.
I would greatly appreciate Brainliest
Have a nice day.
ariana has 3 3 milk bones and she wants to give them to three of her 6 6 dogs, with each getting one bone. in how many ways this can be done?
Answer:
20
Step-by-step explanation:
Ariana has 3 milk bones and she wants to give them to three of her 6 dogs, with each getting one bone. In 20 ways this can be done.
Ariana has 3 milk bones and she wants to give them to three of her 6 dogs, with each getting one bone.
We have to determine how many ways this can be done.
We have to distribute 3 milk bones to the 6 dogs.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
So the possibilities = [tex]^6C_{3}[/tex]
Using the formula; [tex]^nC_{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]^6C_{3}=\frac{6!}{3!(6-3)!}[/tex]
[tex]^6C_{3}=\frac{6!}{3!3!}[/tex]
[tex]^6C_{3}=\frac{6\times5\times4\times3!}{3\times2\times1\times3!}[/tex]
[tex]^6C_{3}[/tex] = 5 × 4
[tex]^6C_{3}[/tex] = 20
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Which graph represents an exponential function?
Step-by-step explanation:
I cannot see the diagram at the bottom, so I cannot tell you a correct answer
find the expression for the function f when the differential equation is put into the form y ( n ) = f ( x , y , y ' , y ' ' , ... , y ( n − 1 ) )
F(x, y, y', y",..., y(n-1)) is the expression for the function f.
1. Rewrite the given differential equation as y (n) = f (x, y, y', y",..., y (n 1)).
2. Identify y as the dependent variable, y', y",..., y(n-1), as the derivatives of y up to order n-1. X is the independent variable.
3. The right-hand side of the equation, f(x,y,y',y",...,y(n-1)), provides the expression for the function f.f(x,y,y',y",...,y(n-1)) is the expression for the function f, where x is an independent variable, y is the dependent variable, and y', y",...,y(n-1) are y's derivatives up to order n-1. The right-hand side of the equation provides the expression for the function f when the differential equation is written as y (n) = f (x, y, y', y",..., y (n 1)). Consequently, f is a function of x, y, y', y",..., and y. (n-1). The differential equation is resolved using this expression for f.
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what is 1/6 with an exponent of 4 as a fraction simplest form
The value of fraction in simplest form is, 1/1296.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
⇒ 1/6 with an exponent of 4.
Now, We can simplify as;
⇒ (1/6)⁴
⇒ 1 / 6⁴
⇒ 1/ 6×6×6×6
⇒ 1 / 1296
Thus, The value of fraction in simplest form is, 1/1296.
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5/w/>4
> 45
If all real numbers are solutions, click on "All reals".
If there is no solution, click on "No solution".
0
<
V
No
solution
X
>
and
18
OSO
☐or O
All
reals
S
The solution to the inequality 5/w > 4/45 is given as follows:
w < 56.25.
How to solve the inequality?The inequality for this problem is defined as follows:
5/w > 4/45.
Applying cross multiplication, we have that:
4w < 45 x 5
w < 45 x 5/4
w < 56.25.
The solution is found similarly to an equality, isolating the desired variable. The difference is that the solution is composed by infinity values in a range of values, instead of a finite number of values.
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5. Alex placed 8 blue tiles and 12 red tiles in a container. He plans to draw a tile, record its color, and replace it in the container before drawing another. Suppose Alex does this 50 times. How many times should he expect to draw a red tile?
(a). 8
(b). 12
(c). 20
(d). 30
He must anticipate drawing a red tile. 30 times minimum.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given this, Alex placed 8 blue tiles and 12 red tiles in a container. He plans to draw a tile, record its color, and replace it in the container before drawing another.
Let X be the number of times a red tile is drawn from the container
Number of red tiles = 12
Total tiles = 12 + 8 = 20
p = P(randomly drawing a red tile) = 12/20 = 0.6
n = 50 number of draws or trials
Since Alex replaces the tile before he draws the next tile, we can model
the distribution of X according to Binomial Distribution
Thus, X ~ Binomial with n = 50 and p = 0.6
The Expected value of a binomial variable is E(X) = np
E(X) = n * p
= 50 * 0.6
= 30
therefore, he should expect to draw a red tile At least 30 times.
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What is concave up and down?
If f′ is growing, the f graph is concave up on the interval. In the event that f′ is decreasing, the f graph is concave down on the interval. This has been obtained by using the concept of derivatives.
What are derivatives?
In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
Assume that f is differentiable on interval I.
If f′ is increasing, the f graph is concave up on I. In the event that f′ is decreasing, the f graph is concave downward on I. The graph of f is considered to have no concavity if f′ is constant.
Hence, concave up is when f' is increasing and when it is decreasing, it is concave down.
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[tex] \binom{(4 {x}^{2} y)^{2} \times \sqrt{9 {x}^{6} {y}^{2} } }{( {x}^{3} {y}^{2})^{ - 2} } [/tex]
the topic is indices
The simplified exponential expression is given as follows:
48x^13y^7.
How to simplify the exponential expression?The first term of the numerator is (4x²y)², hence, applying the power of power rule, it is given as follows:
(4x²y)² = 16x^4y². (apply the power of 2 to each factor).
The square root is equivalent to an exponent of 1/2, hence the power of power rule is also applied as follows:
square root (9x^6y²) = 3x³y.
At the denominator, we have that the term has a negative exponent, hence it is moved to the numerator, thus:
(x³y²)² = x^6y^4.
Now the expression is given as follows:
16x^4y² times 3x³y times x^6y^4
The multiplication of the coefficients is given as follows:
16 x 3 x 1 = 48.
For the variables x and y, we keep the bases and add the exponents, hence:
x^(4 + 3 + 6) = x^13.y^(2 + 1 + 4) = y^7.Hence the simplified expression is given as follows:
48x^13y^7.
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let f(x)=−9 4x−x3 . find the open intervals on which f is increasing (decreasing). then determine the x -coordinates of all relative maxima (minima).
The function f(x) = -9 + 4x - x³ is increasing on the intervals (-∞, -√(4/3)) and (√(4/3), +∞), and decreasing on the interval (-√(4/3), √(4/3)).
The relative minima occur at x = ±√(4/3).
A function is a mathematical mapping from one set of values to another set of values.
To find the first derivative of the function, we need to take the derivative of each term in the function. The derivative of -9 is 0, the derivative of 4x is 4, and the derivative of -x³ is -3x². So the first derivative of the function f(x) is:
f'(x) = 4 - 3x²
We want to find the values of x where f'(x) = 0 (because this will tell us where the function changes from increasing to decreasing, or vice versa). Solving for x, we get:
=> 0 = 4 - 3x²
=> 3x² = 4
=> x² = 4/3
=> x = ±√(4/3)
The first derivative of the function f(x) is positive for x values less than -√(4/3) and for x values greater than √(4/3), so the function f(x) is increasing on those intervals.
The first derivative of the function is negative for x values between -√(4/3) and √(4/3), so the function f(x) is decreasing on that interval.
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