The height and radius of the cup that will use the smallest amount of paper are 3.86 cm and 2.72 cm. The result is obtained by using the first derivative .
How to find the dimension of a cone?To find the height and radius of a cone for the smallest surface area, we can use the first derivative dS/dh. We then equate it to 0 for the maximum value.
The volume of a cone-shaped paper drinking cup is 30 cm³. Find the height and radius for the smallest amount of paper!
The radius of the cone can be expressed as
V = 1/3 (πr²h)
30 = 1/3 (πr²h)
90 = πr²h
r² = 90/πh
The surface area of the cone can be expressed as
S = πrs
[tex]S = \pi r \times \sqrt{h^{2} + r^{2}}[/tex]
[tex]S = \pi \sqrt{\frac{90}{\pi h}} \times \sqrt{{h^{2} + \frac{90}{\pi h}[/tex]
[tex]S = \pi \sqrt{\frac{90}{\pi h}} \times \sqrt{\frac{(\pi h^{3} + 90)}{\pi h}[/tex]
[tex]S = \sqrt{90} \times \sqrt{\frac{(\pi h^{3} + 90)}{h^{2}}[/tex]
[tex]S = \sqrt{90} \times \sqrt{\pi h + \frac{90}{h^{2}} }[/tex]
The 1st derivative is
[tex]\frac{dS}{dh} = \sqrt{90} \times (\pi - \frac{180}{h^{3}}) \times [(\pi h + \frac{90}{h^{2}})^{-\frac{1}{2} } ][/tex]
[tex]0 = \sqrt{90} \times (\pi - \frac{180}{h^{3}}) \times [(\pi h + \frac{90}{h^{2}})^{-\frac{1}{2} } ][/tex]
The height for the smallest amount of paper is
π - 180/h³ = 0
π = 180/h³
h³ = 180/π
h³ = 57.32
h = 3.86 cm
The radius for the smallest amount of paper is
r² = 90/πh
r² = 90/π(3.86)
r² = 7.42
r = 2.72 cm
Hence, the dimension of the cone-shaped paper drinking cup for the smallest amount of paper is
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The sum of two polynomials has degree 4 and their difference has degree 2. What is
the degree of their product?
The degree of the product of the two polynomial is 6.
What is a polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² − 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Given that there are two polynomial.
The sum of two polynomials has degree 4.
Thus the degree of a polynomial is 4.
The degree of the another polynomial is less than or equal to 4.
Also the difference of their degree is 2.
Thus the degree of the another polynomial is (4 - 2) =2.
The degree of the polynomials whose degree are a and b is a+b.
The degree of the product of the given polynomial is (4 + 2) = 6.
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Write the equation of the line parallel to
Y= 2x+ 3 that passes through the
point (6, -9).
The parallel line has an equation of y = 2x - 21
How to determine the line equation?The equation is given as
y = 2x + 3
The equation of a line can be represented as
y = mx + c
Where
slope = m
By comparing the equations, we have:
m = 2
The slopes of parallel lines are equal
This means that the slope of the other line is 2
i.e. m = 2
Recall that:
The equation of a line can be represented as
y = mx + c
Where
slope = m = 2
Also, we have
(x, y) = (6, -9)
So, we have
-9 = 2 * 6 + c
This gives
c = -9 - 12
Evaluate
c = -21
So, we have
y = 2x - 21
Hence, the equation of the parallel line is y = 2x - 21
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A panel in one of the hallways of Emilio’s school is rectangular with an area of 44.52 square feet. If the panel is 21 feet long, how wide is it?
Answer:
Step-by-step explanation:
So hi this is saveon and this is how you do the question so first you divide 44.52 by 21 you will get 2.12 feet and that is your answer
It is 2.12 feet wide.
What is rectangle ?
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
An equiangular quadrilateral is another name for a rectangle. The reason for this is that a rectangle is a quadrilateral form (4-sided shape) with parallel sides that are equal to one another and four corners with 90o angles. A rectangle can also be referred to as an equiangular quadrilateral because all of the angles are 90 degrees.
Rectangle area = width * height
44.52 / 21
= 2.12 feet
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Put the following equation of a line into slope-intercept form,
simplifying all fractions.
2x + 4y = 4
Answer:
Step-by-step explanation:
To put in slope intercept form, isolate y.
4y = -2x +4
Further divide by 4 to isolate y. What you do on one side of an equation, you also do on the other side.
4y/4 = -2x/4 +4/4
y = -1/2x +1
What is the equation of this line in point-slope form?
A: y − 5 = −12(x + 2)
B: y − 5 = −2(x + 2)
C: y − 2 = −2(x +5)
D: y − 2 = −12(x + 3)
Equation of line having passing point (-2,5) and (2,-3) is y − 5 = −2(x + 2).
Hence, option B is correct.
What do you mean by equation of line?
A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.
Given passing points of line (-2,5) and (2,-3)
Equation of line having two passing points (a,b) and (c,d) is
y - b = [tex]\frac{d-b}{c-a}[/tex] (x - a)
So, equation of line having passing point (-2,5) and (2,-3) is
y - 5 = [tex]\frac{-3-5}{2+2}[/tex] (x + 2)
y - 5 = -2(x + 2)
y - 5 = -2x - 4
2x + y - 5 + 4 = 0
2x + y - 1 = 0
Therefore, equation of line having passing point (-2,5) and (2,-3) is y − 5 = −2(x + 2).
Hence, option B is correct.
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A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors.
Answer: 0.25 inches per hour.
Step-by-step explanation:
The mile-a-minute weed can grow up to 0.5 ft per day. To convert this to inches per hour, we need to convert the distance from feet to inches and the time from days to hours.
There are 12 inches in 1 foot, so the mile-a-minute weed can grow up to 0.5 x 12 = <<0.5*12=6>>6 inches per day.
There are 24 hours in 1 day, so the mile-a-minute weed can grow up to 6 / 24 = <<6/24=0.25>>0.25 inches per hour.
Therefore, the mile-a-minute weed can grow up to 0.25 inches per hour.
Here's the complete solution using the correct conversion factors:
1 ft = 12 inches
1 day = 24 hours
0.5 ft/day * (12 inches/1 ft) / (24 hours/1 day) = 0.25 inches/hour
help me please I don't want to fail
Answer:
Its C. y = x - 1
Step-by-step explanation:
For Example:
-4 = -3 - 1
1 = 2 -1
4 = 5 - 1
What will happen to the original shape of the scale factor is equal to 1?
If the scale factor is equal to one, then there wont be any change in the original shape
The scale factor is defined as the ratio of the original size of the shape to the new size of the shape.
There are three types of scale factors will be there, greater than one, equal to one and between 0 and 1
When the scale factor is greater than 1, then the shape will enlarge
When the scale factor is equal to 1, there wont be any change in original shape
When the scale factor is between 0 and 1, the shape will decrease the size
Therefore, there wont be any change in original shape when scale factor equal to one
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Factor t12 – r3s15. (t4 – rs5)(t8 – rs5t4 – r2s10) (t4 – rs5)(t8 rs5t4 r2s10) (t9 – rs12)(t18 rs12t9 r2s24) (t4 rs5)(t8 – rs5t4 r2s10)
The factors of the polynomial t¹² – r³s¹⁵ is (t⁴ + rs⁵)(t⁸ - rs⁵t⁴+ r²s¹⁰). The correct answer is B.
Describe factor.The definition of a factor is a number that completely divides another number. If adding two whole numbers results in an item, the numbers we are adding are variables of the item since the item can be used to separate them.
By using formula
(a³ - b³) = ( a+ b)( a² -ab + b²)
Then,
t¹² – r³s¹⁵ = (r⁴)³ - (rs⁵)³
=(r⁴ + rs⁵)((t⁴)² - rs⁵t⁴ + (r⁵)²)
=(r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰)
Thus, required answer is (r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰), So option (B) is correct.
Your question is incomplete but most probably your full question was
Factor t¹² – r³s¹⁵ is
a.(t⁸ – rs⁵t⁴ – r²s¹⁰)
b. (t⁴ – rs⁵)(t⁸- rs⁵t⁴+ r²s¹⁰)
c. (t⁹ – rs¹²)(t¹⁸+rs¹²t⁹ +r²s²⁴) (t⁴ rs⁵)
d. (t⁸ – rs⁵t⁴)( r²s¹⁰)
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What are the rules for infinitives?
The rules for an infinitive is:
(1) Noun forms include infinitives.
(2) Use of an infinitive is not appropriate if a preposition follows the verb.
(3) An infinitive may follow a common statement that ends with a preposition.
In the given question we have to wrote the rules for an infinitive.
There are certain fundamental guidelines for using infinitives.
(1) Noun forms include infinitives. They are the verb's subject if they are used before the main verb; if they are used after the main verb, they are the verb's object.
(2) Use of an infinitive is not appropriate if a preposition follows the verb.
(3) An infinitive may follow a common statement that ends with a preposition.
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A line has a slope of - 1/4 and passes through the point (4,2). Through which of the following points does the line also pass?
A. (-8,-4)
B. (0,12)
C. (8,4)
D.(8,1)
The point that the line also pass would be; C. (8,4)
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Given that line has a slope of - 1/4 and passes through the point (4,2).
Now Write the equation as;
y - 2 = -1/4(x - 4)
y = -1/4x + 6
Hence, The answer is; C. (8,4)
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Gina is having a party and wants to spend less than $580. She has already spent $400. The only item left on her list is pizzas, which cost $15 each. How many pizzas, x, can she purchase and stay under her budget? Select the inequality that includes the largest number of pizzas she can purchase and still stay under her budget.
Answer:
. .
Step-by-step explanation:;
A line passes through the points (-6,-8) and (-3,-7) what is the equation of the line in Slope Intercept Form
A
B
C
D
shown in picture
Answer:
Your answer is B) [tex]y=\frac{1}{3}x-6[/tex]
Someone please help me
The Equation for parallel line is: y= 4x - 13
The Equation for perpendicular line is: y= 1/4 x + 2
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The passing point is (4, 3).
Now, the slope of given line
= Rise / Run
= 4 / 1
= 4
So, the slope for parallel line is 4 and for perpendicular line is -1/4.
Now, the line passes through (4, 3)
For parallel line
y= 4x+ b
3 = 4(4)+ b
3- 16 = b
b= -13
So, Equation for parallel line is: y= 4x - 13
For Perpendicular line
y= 1/4 x+ b
3 = 1/4(4)+ b
3- 1 = b
b= 2
So, Equation for Perpendicular line is: y= 1/4 x + 2
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The athletic department at a college surveyed a random sample of students.
The probability that a student visited the athletic complex regularly (at least once per week) was 0.15.
The probability that a student tried out for one of the sports teams was 0.16.
The probability that a student both visited the athletic complex regularly and tried out for one of the sports teams was 0.12.
What is the probability that a student visited the athletic complex regularly, given that he or she tried out for a sport?
0.31
0.43
0.75
0.8
Answer:
Step-by-step explanation:
The required probability is 0.75 that a student visited the athletic complex regularly, given that he or she tried out for a sport.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that a student visited the athletic complex regularly, given that he or she tried out for a sport. This is known as the conditional probability of visiting the athletic complex regularly, given that the student tried out for a sport.
The formula for calculating conditional probability is:
P(A|B) = P(A and B) / P(B)
In this case, A is the event "visited the athletic complex regularly" and B is the event "tried out for a sport."
Substituting the given probabilities into the formula, we get:
P(A|B) = P(A and B) / P(B)
= 0.12 / 0.16
= 0.75
Therefore, the probability is 0.75, which is the correct answer that would be option (C).
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Graph the line that has a slope of -1/6 and includes the point (0, 5).
Click to select points on the graph.
Answer:
y = -1/6x + 5
Step-by-step explanation:
y = mx + c
Gradient (m) = -1/6
Y-intercept (c) = 5
so
y = -1/6x + 5
Please help meee pleasee help meee
The equation of the vertical line is x = -2.
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the equation of the line as follows;
using (-2, 1) and (-2, 2)
m = 2 - 1 / -2 + 2
m = 1 / 0
m = 0
Therefore, y-intercept using (-2, 1)
1 = 0 + b
The equation of a vertical line in the graph, which is parallel to y-axis is x = a.
Hence, the equation of the vertical line is x = -2.
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I kind of need a answer asap
The zero of the graph is 8 and it represents the time taken for Bart to pass out the flyers i.e 8 minutes
How to determine the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
The empty graph
Also from the question, we have the following equation
f(x) = 80 - 10x
This means that
The variable f is a function of x i.e. f(x)
To plot the graph, we represent the function f(x) on the y-axis
See attachment for the graph of the function
The zeros of the functionThis is the point where the graph crosses the x-axis
This is represented a f(x) = 0
Substitute the known values in the above equation, so, we have the following representation
80 - 10x = 0
Add 10x to both sides
10x = 80
Divide both sides by 10
x = 8
Hence, the zero is 8 and it means that Bart passes out the flyers in 8 minutes
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Find the range of the following piecewise function. [-1,27] [18,-2] [1,27] [-4,0].
The range of the given piecewise function is [-1, 27].
A function with many parts of curves in its graph is said to be a piecewise function. It is a function with various definitions at various intervals of x.
The given function is a piecewise function,
[tex]f(x)=\begin{cases}{{x^2+2\;&\text{if}\;-5\le x < 3 \\{x-4\;&\text{if}\;3\le x < 7}}\end{cases}[/tex]
From the given function,
f(x) = x²+2 if the x value is less than or equal to -5 and less than 3.f(x) = x-4 if the x value is less than or equal to 3 and less than 7.The set of values for all the output values can be referred to as a function's range. To find a range,
For the domain -5 ≤ x < 3, the function is f(x) = x²+2. Substitute x = -5 in this function, and we get f(x) = 27. For domain 3 ≤ x < 7, the function is f(x) = x-4. Substitute x = 3 in this function, and we get f(x) = -1.Then, the range can be written as [-1, 27]. Therefore, the first option is correct.
The complete question is -
Find the range of the following piecewise function.
[tex]f(x)=\begin{cases}{{x^2+2\;&\text{if}\;-5\le x < 3 \\{x-4\;&\text{if}\;3\le x < 7}}\end{cases}[/tex]
a) [-1,27] b) [18,-2] c) [1,27] d) [-4,0].
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in a circle of radius 3.4 cm, what is the length of the arc opposite a central angle that measures 46 degrees?
The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.
What is circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
in a circle of radius 3.4 cm
central angle that measures 46 degrees
length of arc = (46/360) * 2π*3.4
=2.72cm
Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm
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Drag each tile to the correct location in the equation. each tile can be used more than once, but not all tiles will be used. balance the equation with the correct coefficients. 2 3 4 5
The Balance chemical equation using given coefficients: 2, 3, 4, and 5 is
2[tex]C_{2} H_{2}[/tex]+ 5[tex]O_{2}[/tex] -> 4[tex]CO_{2}[/tex] + 2 [tex]H_{2}O[/tex]
The given chemical Equation:
[tex]C_{2} H_{2}[/tex] + [tex]O_{2}[/tex] -> [tex]CO_{2}[/tex]+ [tex]H_{2}O[/tex]
Balance chemical equation using given coefficients: 2, 3, 4, 5
2[tex]C_{2} H_{2}[/tex]+ 5[tex]O_{2}[/tex] -> 4[tex]CO_{2}[/tex] + 2 [tex]H_{2}O[/tex]
A chemical equation is the symbolic illustration of a chemical response in the shape of symbols and chemical formulas. The reactant entities are given at the left-hand side and the product entities at the proper-hand facet with a plus sign between the entities in both the reactants and the products, and an arrow that points towards the goods to expose the route of the response. The chemical formulation can be symbolic, structural (pictorial diagrams), or intermixed. The equal holds for the whole electric-powered rate, as stated by way of the rate conservation regulation. An equation adhering to these necessities is said to be balanced.
A chemical equation is balanced by assigning appropriate values to the stoichiometric coefficients. simple equations can be balanced by using inspection, that is, by using trial and blunder. another method entails solving a gadget of linear equations.
Balanced equations are generally written with the smallest natural-wide variety coefficients. but on occasion, it can be high quality to just accept a fractional coefficient if it simplifies the opposite coefficients.
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Complete question: -
Drag each tile to the correct location in the equation. each tile can be used more than once, but not all tiles will be used. balance the chemical equation with the correct coefficients. 2 3 4 5 in the chemical equation
[tex]C_{2} H_{2}[/tex] + [tex]O_{2}[/tex] -> [tex]CO_{2}[/tex] + [tex]H_{2}O[/tex]
laura is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges and allows unlimited mileage. company b has an initial fee of and charges an additional for every mile driven. for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Solution of the inequality representing charges of company A is less than the company B for the mileage of 75miles or more.
As given in the question,
Let 'x' miles be the number of miles driven by company A.
For the given conditions:
Equation of company A is:
110 + 0m
Equation of company B is
65 + 0.60x
Inequality between company A and company B is:
110 + 0m < 65 + 0.60x
⇒0.60x > 110 - 65
⇒x > 45 / 0.60
⇒ x > 75 miles or more
Therefore, from the inequality 75 miles or more company A charges less than the company B.
The complete question is:
Laura is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company A charges $110 and allows unlimited mileage. company B has an initial fee of $65 and charges an additional $0.60 for every mile driven. For what mileages will company A charge less than company B? use for the number of miles driven, and solve your inequality for .
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The sum of 2.69 + (3.84 +1.54) = 2 .69 + = 8.07.
Answer:
it is equal to 8.07
Step-by-step explanation:
i need help please too get a better grade!
The linear function in this problem is defined as follows:
y = -328.275x + 3142.5.
The number of CD's sold by year decreases by about 328 million per year. About 3143 million of CD's were sold in 2010.
The estimate for the year of 2019 is of: 188 million CD's.
How to define the linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are defined as follows:
m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the value of the output y when the input x assumes a value of y.Two points of the linear function in this problem are given as follows:
(2, 2485.6), (6, 1172.5)
The slope is given by the change in y divided by the change in x, hence:
m = (1172.5 - 2485.6)/4 = -328.275.
Then:
y = -328.275x + b.
When x = 2, y = 2485.6, hence the intercept b is obtained as follows:
2485.6 = -328.275(2) + b.
b = 2485.6 + 328.275(2)
b = 3142.5.
Hence the function is:
y = -328.275x + 3142.5.
2019 is nine years after 2010, hence the estimate is obtained as follows:
y = -328.275(9) + 3142.5 = 188 million CD's.
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Wendell’s Donut Shoppe is investigating the purchase of a new $18,600 donut-making machine. The new machine would permit the company to reduce the amount of part-time help needed, at a cost savings of $3,800 per year. In addition, the new machine would allow the company to produce one new style of donut, resulting in the sale of 1,000 dozen more donuts each year. The company realizes a contribution margin of $1.20 per dozen donuts sold. The new machine would have a six-year useful life.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. What would be the total annual cash inflows associated with the new machine for capital budgeting purposes?
2. What discount factor should be used to compute the new machine’s internal rate of return? (Round your answers to 3 decimal places.)
3. What is the new machine’s internal rate of return to the nearest whole percent?
4. In addition to the data given previously, assume that the machine will have a $9,125 salvage value at the end of six
years. Under these conditions, what is the internal rate of return to the nearest whole percent?
As per the question, Total Annual Cash Inflows = 5000, Discount Factor = 3.72 and New Machine's internal rate of return = 16%
Note: The query is not complete and does not contain the necessary information for part 4. It is impossible to fully answer this question without the exhibits stated in the questions. Up until part 3, we will be solving it.
1) The entire annual cash inflows must be calculated for this, and the formula is given below:
Total annual cash inflows are equal to the annual savings from part-time labor plus the additional contribution margin from anticipated sales.
Annual Cash Inflows Total = 3800 + ( 1000 x 1.20)
= 3800 + 1200
= 5000
2. Formula for figuring up the discount percentage:
Discount Factor = New Machine Price/Annual Cash Flow
New machine cost is 18600 USD.
Annual inflow of cash = 5000
Discount Factor is equal to 18600/5000.
Discount Ratio is 3.72.
3. The examples, which are absent from this question, show that the discount factor for six years is roughly closest to 16%, hence the internal rate of return for the new machine is equal to 16%.
Note, without the exhibits indicated in the questions, the question is insufficient and cannot be utilized in Part 4. It cannot be solved any further.
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Simplify the expression. (t −2)6 t12
Answer:
6t^13-12t^12
Step-by-step explanation:
6t^12(t-2)
6t^12t+6t^12*-2
6t^12+1 +6t^12*-2
6t^13+6t^12*-2
6t^13-12t^12
Pleasee help please 20 points
Word problem
Antonio’s solution to a compound inequality is wrong
explain what mistake was made the correct the mistake
Answer:
1. The mistake he made was in Step #2. He subtracted 10 from -6 and 10 but he didn't subtract 10 from 18.
2. The correct answer should be -16 ≤ x < 8
Hope this helps : )
Step-by-step explanation:
Whatever you do on one side of an inequality/equation, you must do the same thing to the other side(s).
To get the correct answer he must subtract 10 from 18 which equals 8.
The final compound inequality is -16 ≤ x < 8
this type of bias occurs when researchers fail to choose a representative sample of potential respondents.
Sampling bias, also known as sample selection bias, refers to flaws in research studies that arise when researchers do not appropriately select their subjects.
When a sample is collected in such a way that some members of the intended population have a significantly lower or higher sampling risk than others, sampling bias is reduced.
It yields a skewed sample of a population (or non-human variables) in which not all individuals, but rather cases, were picked in the same way. If this is not considered, the outcomes may be incorrectly attributed to the study problem rather than the sample method.
Sampling bias is often classified as a subset of selection bias, also known as sample selection bias, but some believe it to be a separate type of bias.
The difference between sampling bias and selection bias, though not frequently recognized, is that sampling bias reduces a test's external validity, whereas selection bias only addresses the internal validity of differences or similarities detected in the sample at hand.
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Determine whether the function f(x)=-9-x^5+2x^3 is even, odd, or neiter.
f( x ) is an odd function
What is even or odd function ?The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin (0, 0).
According to the given information
We are given with the function
f( x ) = [tex]-9-x^{5} + 2x^{3}[/tex]
For checking that the function is even or odd
Case 1
put -x in place of x
f ( -x ) = [tex]-9-(-x)^{5} + 2(-x)^{3}[/tex]
f ( -x ) = [tex]-9+x^{5} -2x^{3}[/tex]
f(x) ≠ f (-x)
Hence it is not an even function
So
f(-x) = -f(x)
hence
f( x ) is an odd function
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Allen and his two brothers decided to purchase a video game system together. They determine that each person will need to pay $32.30. How much is the cost for the video game system?
Answer:
The cost for the video game system is $96.90.
Step-by-step explanation: