Which of the following statements is FALSE regarding polynomial functions?
Answers
The only false statement about a polynomial is that 'A polynomial function of degree n has at most n turning points' hence, option (C) is the right choice.
A polynomial possess the following properties:
A polynomial function with odd degree n, where n ≥ 1, must have at least one real zero, hence the first statement is true.A polynomial function with real coefficients of even degree n may have no real zeros, hence the second statement is also true about the polynomial.The graph of a polynomial of degree n has at most n−1 turning points. Hence, statement third which says that 'A polynomial function of degree n has at most n turning points' is incorrect.A polynomial function of degree n may have up to n distinct zeros.Hence, statement 4 is also true about polynomial.
Therefore, Option (C) is false because it contains the false statement about a polynomial.
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The complete question is as follows:
Which of the following statements is FALSE regarding polynomial functions?
1) A polynomial function of odd degree may have at least one zero.
2) A polynomial function of even degree may have no zero.
3) A polynomial function of degree n has at most n turning points.
4) A polynomial function of degree n may have up to n distinct zeros.
Related Questions
A square piece of plastic has sides that are 8 centimeters long. What is the piece of plastic's area?
Answers
Answer:
64 \(cm^{2}\)
Step-by-step explanation:
l x w = area
8 x 8 = 64
Which of the following statements is not true about chi-square distributions? The mean decreases as the degrees of freedom increase. OPG? < 0) = 0 O PU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1 There are an infinite number of chi-square distributions, depending on degrees of freedom. They are always skewed to the right Previous Only saved at 4:44pm
Answers
The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.
Is it true that the mean of a chi-square distribution decreases as the degrees of freedom increase?In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.
The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.
Regarding the other statements:
The statement "OPG? < 0) = 0" is true. The probability of a chi-square random variable being less than zero is always zero, as chi-square values are non-negative.The statement "OPU2 > 3) is larger for a chi-square distribution with df = 10 than for df = 1" is true. As the degrees of freedom increase, the right-tail probability of a chi-square distribution also increases.The statement "There are an infinite number of chi-square distributions, depending on degrees of freedom" is true. The number of chi-square distributions is infinite because the degrees of freedom can take any positive integer value.The statement "They are always skewed to the right" is generally true. Chi-square distributions tend to be skewed to the right, especially when the degrees of freedom are small.In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.
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what is the answer to 34^5+6%7=
Answers
Answer:
ik what you ment
this is your answer 45,435,439.87
Step-by-step explanation:
PLEASE I NEED TO FINISH THIS!!
name:
a chord
a diameter
a radius
a minor arc
and a semi circle of the circle
Answers
Ab diameter
Cp radius
y = 1/2 x + 1
-2x + 4y = 4
need an answer please
y = -x - 3
y + x = 2
Answers
There are infinitely many solutions and thus infinitely many values for x and y in the first system of equations. There are no solution for the second system of equations.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side
The first system of equations are,
y = 1/2 x + 1
-2x + 4y = 4
Multiplying throughout the first equation by 4, we get
4y = 2x + 4
and the second equation is 4y = 2x + 4
Both the equations are same and so the lines coincide.
They have infinitely many solutions.
The second system of equations are,
y = -x - 3
y + x = 2 ⇒ y = -x + 2
Both are in the form of y = mx +c, which is the equation of the line in slope intercept form.
Here m is the slope.
Given lines have the coefficient of x same, and so slopes are same.
So the lines are parallel.
Two parallel lines does not have a solution.
Hence the first system of equations have infinitely many solutions and second system of equations does not have any solution.
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find the smallest number of people you need to choose at random so that the probability that at least one of them has a birthday today exceeds 1/2.
Answers
We need to choose at least 23 people at random to have a probability greater than 1/2 that at least one of them has a birthday today.
To find the smallest number of people needed to choose at random so that the probability that at least one of them has a birthday today exceeds 1/2, we can use the birthday problem formula:
P(at least one shared birthday) = 1 - P(no shared birthdays)
Assuming that all 365 days in a year are equally likely to be a person's birthday, the probability of two people not sharing a birthday is:
=364/365
The probability that n people all have different birthdays is:
(365/365) * (364/365) * (363/365) * ... * ((365 - n + 1)/365)
So, the probability that at least two people share a birthday is:
1 - (365/365) * (364/365) * (363/365) * ... * ((365 - n + 1)/365)
We want to find the smallest value of n such that this probability exceeds 1/2. By trial and error, we can find that this occurs when n = 23.
Therefore, we need to choose at least 23 people at random to have a probability greater than 1/2 that at least one of them has a birthday today.
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if
f(x)=4x2−3x+7 , what is f(−2) ?
Answers
Answer:
D. 29 I just know the awnser sorry
To find the value of f(−2), we substitute −2 for x in the function f(x):
f(−2) = 4(-2)^2 − 3(-2) + 7
= 4(4) − 3(2) + 7
= 16 − 6 + 7
= 11
Therefore, f(−2) = 11.
PLEASE HELP!!! ILL GIVE BRAINLIEST
A map of a highway has a scale of 2 inches=33 miles. The length of the highway on the map is 8 inches. There are 17 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch=30 miles . How far apart are the rest stops on the new map?
How many inches apart are the rest stops?
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
2/33=6/xx=99since there are 11 rest stops and you are trying to find the space in the middle of the two rest stops. 99/11 rest stops9 miles in between rest stops9/y=30/19/30=y3/10=y.3 inches=yHope that helps :)
Answer:
Step-by-step explanation:
i have the same question\
For his parents' anniversary party, Leon is considering using one of two venues. A hotel in Newport will cost $396 for a reservation, plus $76 per person. A restaurant in the same city will cost $74 per person, in addition to $890 for the reservation. In order to make the best decision, Leon figures out how many attendees it would take to have the venues cost the same amount. How many attendees would that be? What would the total cost be?
Answers
The venues would have the same cost when there are 14 attendees. At this point, both options would amount to a total cost of $1,220.
1. Let's denote the number of attendees as "x" for both the hotel and the restaurant. For the hotel venue, the total cost can be calculated as the sum of the reservation cost ($396) and the cost per person ($76) multiplied by the number of attendees: Total Cost for Hotel = $396 + $76x.
2. For the restaurant venue, the total cost can be calculated as the sum of the reservation cost ($890) and the cost per person ($74) multiplied by the number of attendees: Total Cost for Restaurant = $890 + $74x
3. To find the number of attendees at which the costs are the same, we set the two equations equal to each other: $396 + $76x = $890 + $74x
4. Rearranging the equation, we get: $2x = $890 - $396, Simplifying further: $2x = $494
x = $494 / $2
x = 247
5. Therefore, it would take 247 attendees for both the hotel and the restaurant venues to have the same cost. To calculate the total cost at this point, we substitute the value of x into either equation. Using the hotel equation: Total Cost = $396 + $76 * 247 = $1,220
6. Thus, with 247 attendees, the total cost for both venues would be $1,220.
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please show the work for it as well thank you
Answers
Answer:
2x^4+4x^2+2
Step-by-step explanation:
f(x) = x^2+1
g(x) = 2x^2
g(f(x))=
Replace x in the function g(x) with the function f(x)
=2( x^2+1)^2
= 2( x^2 +2x^2 +1)
= 2x^4+4x^2+2
4 dump trucks carry eight tons of gravel evenly between them. How much gravel is in
one dump truck? Draw a model, write an expression and solve.
Answers
There are 2 gravel is in one dump tuck.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
4 dump trucks carry 8 tons of gravel evenly between them.
Hence, Number of gravel in one dump truck = 8 / 4
= 2
Thus, There are 2 gravel is in one dump tuck.
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Δ WILL GIVE BRAINLIEST Δ
Write down 2-3 quotes to show gratitude to teachers to give an extra boost of energy and joy to the teachers and staff during this hard times.
Answers
Answer:
1. the best teacher
teach from the heart ❤️
not from the book
2. a good education can change anyone.
a good teacher can change everything.
3.teaching is a work of a Heart
reciprocal of b-1/b
Answers
FOR A RECIPROCAL OF FRACTION WE SWAP POSITIONS. WHATEVER WAS IN THE NUMERATOR BECOMES THE DENOMINATOR AND WHAT WAS IN THE DENOMINATOR BECOMES THE NUMERATOR.
THIS MEANS THAT AS A RESULTS WE HAVE
\( \frac{b}{b - 1} \)
ATTACHED IS THE SOLUTION.
simply the picture above..
write your answer using only positive exponents..:/
Answers
Answer:
27/64m^12 n^6
Step-by-step explanation:
Someone help me please.
Answers
Answer:
No solution.
Step-by-step explanation:
Two same things can't equal different things.
T Identity
Identify the terms,
and
Coeffectants
0.3+0.6ab+0.5b
Answers
Given:
The expression is
\(0.3+0.6ab+0.5b\)
To find:
The terms and the coefficients.
Solution:
In an expression, the variables, constants and product of variable and constant separated by positive sign "+" are called terms.
We have,
\(0.3+0.6ab+0.5b\)
Here, the terms are 0.3, 0.6ab and 0.5b. The coefficients of variables are 0.6 and 0.5 respectively and 0.3 is a constant.
Chau rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 97 cents for each mile driven. Chau had to pay $306.13 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
Chau drove 13.96 miles while he was using the truck
Step-by-step explanation:
Answer:
294 miles!!!!!!
Step-by-step explanation:
If m<2 = (2x)° and m<5 = (x+6)°, find the value
of ‘x’ and the m<4.
Answers
Answer:
x = 58
\( m\angle 4 = 116\degree \)
Step-by-step explanation:
\( m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\
m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\
\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\\)
From equations (1) & (2)
\( m\angle 2 =180\degree-m\angle 5\\\\
\therefore (2x)\degree =180\degree-(x+6)\degree \\\\
\therefore (2x)\degree +(x+6)\degree =180\degree\\\\
\therefore (2x+x+6) \degree =180\degree\\\\
\therefore (3x+6) \degree =180\degree\\\\
3x + 6 = 180\\\\
3x = 180-6\\\\
3x = 174\\\\
x = \frac{174}{3} \\\\
\huge \purple {\boxed {x = 58}} \\\\
\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\
\therefore m\angle 4 = (2x)\degree \\\\
\therefore m\angle 4 = (2\times 58)\degree \\\\
\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} \)
help pls .. Shifted down 1 unit and to the right 2
units
Equation: g(x) =
Shifted up 3 units and to the left 1 unit
Equation: g(x) =
Answers
Answer:
\(g(x) = (x - 2) ^{2} - 1\)
\(g(x) = (x + 1)^{2} + 3\)
Helen has a garden in the shape of a circle of diameter 20 m.
She is going to cover all the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 58 m² of garden.
a) Taking it to be 3.14 work out the area of the garden in m? (2)
20 m
b) Work out an estimate for the number of boxes of grass seed Helen needs.
To find your estimate, round each of the numbers in your working
to 1 significant figure. You must show your working. (2)
c) Your estimate for b) is
(1)
A an overestimate B an underestimate C could be either.
Total marks: 5
Answers
a. The area of the garden is 314m².
b. The number of boxes of grass Helen needs is 5 boxes.
c. My estimate for b is an underestimate.
A circle is a bounded object with points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 3.14
R = radius = diameter / 2 = 20m / 2 = 10m
3.14 x 10² = 314m²
Number of boxes needed to cover the garden = area of the garden / coverage of one box
314m² / 58m² = 5.14
5 boxes to one significant figure.
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a. The area of the garden is 314m².
b. The number of boxes of grass Helen needs is 5 boxes.
c. My estimate for b is an underestimate.
A circle is a bounded object with points from its center to its circumference that is circumferenced equidistant.
Area of a circle = πr²
Where : π = pi = 3.14
R = radius = diameter / 2 = 20m / 2 = 10m
3.14 x 10² = 314m²
Number of boxes needed to cover the garden = area of the garden / coverage of one box
314314m² / 58m² = 5.14
5 boxes to one significant figure.
20 POINTS HELP NEEDED ASAP
Answers
1: 729
2: 16384
3: 15x^7
4: 76x^9
Bonus: 110x^4y^10
Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9
Answers
Step 1
Given;
\(\begin{gathered} y=\frac{1}{8}x-9 \\ with\text{ points \lparen1,-6\rparen} \end{gathered}\)Required; Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9
Step 2
For perpendicular lines, the relationship between the slopes is;
\(m_1=-\frac{1}{m_2}\)\(\begin{gathered} m_1=\frac{1}{8} \\ \frac{1}{8}=-\frac{1}{m_2} \\ m_2=-8 \end{gathered}\)The y-intercept is found thus;
\(\begin{gathered} y=-8x+b \\ b=y-intercept \\ y=-6 \\ x=1 \\ -6=-8(1)+b \\ b=-6+8=2 \end{gathered}\)Answer; The required equation will be;
\(y=-8x+2\)
A population of fish starts at 8,000 and decreases by 6% per year. What is the initial value, a? A.6% B.0.6 C.8,000
Answers
Y = 8,000(1 - 0.06)^t
You can see a = 8,000
As the fish population starts at 8,000
Answer:
it Is C.8000 Because Intial Value Means The Start Number So It Is CWrite the first expression in terms of the second if the terminal point determined by t is in the given quadrant. sec(t), tan(t); Quadrant II sec(t) =
Answers
So, sec(t) = -1/cos(t) lies in Quadrant II.
The sign of a trigonometric function is determined by the signs of the coordinates of the points on the angle's terminal side. Knowing which quadrant the terminal side of an angle is in allows you to determine the signs of all trigonometric functions. The terminal side of an angle can be found in any of the four quadrants or along the axes in either the positive or negative direction (the quadrantal angles). For the signs of the trigonometric functions, each scenario indicates something different.
In Quadrant II, the value of t is between 90 and 180 degrees. In this quadrant, sine is negative, so tangent and secant are also negative.
For the given expressions:
sec(t) = 1/cos(t)
tan(t) = sin(t)/cos(t)
Since sine is negative in Quadrant II, cosine is also negative, so the reciprocal of cosine, which is secant, is negative in this quadrant.
So, sec(t) = -1/cos(t) in Quadrant II.
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You are given the numbers {32 + n, n/8, and \sqrt{n + 23}. Find the smallest value of n so that all of the numbers in the set are natural numbers
Answers
The value of n that makes all of the numbers in the set {32 + n, n/8, and √(n + 23)} natural numbers is n = 63.
To find the smallest value of n so that all of the numbers in the set {32 + n, n/8, and √(n + 23)} are natural numbers, we need to determine the factors of the given numbers. We know that a natural number has no fractional part and is greater than or equal to 1.
We can find the smallest value of n by taking the Least Common Multiple (LCM) of the denominators of the fractions in the given set. So, let's begin:1. 32 + n = natural number
If n = 0, then 32 + n = 32, which is not a natural number. If n = 1, then 32 + n = 33, which is a natural number. Therefore, the value of n that makes 32 + n a natural number is n = 1.2. n/8 = natural number
If n is a multiple of 8, then n/8 is a natural number. Therefore, the value of n that makes n/8 a natural number is any positive multiple of 8.3. √(n + 23) = natural number
If n + 23 is a perfect square, then √(n + 23) is a natural number. Therefore, the value of n that makes √(n + 23) a natural number is any number that is 1 less than a perfect square.
We need to find the smallest value of n that satisfies all three conditions above. The LCM of 8 and 1 is 8. The smallest multiple of 8 that is 1 less than a perfect square is 63. Thus, the smallest value of n is 63.
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what's 2/9 rounded to the nearest hundredth?
Answers
Answer:
0.222
Step-by-step explanation:
The rectangle has a width of 10 units and a length of 24 units. What is the area of the unshaded part of the rectangle
Answers
Answer:
Step-by-step explanation:
120
Find the lateral surface area. Bases are isosceles triangles.
29 110 56
Answers
To find the lateral surface area of a prism with isosceles triangle bases, you'll need the following information: the slant height and the perimeter of the base.
Based on the numbers you provided (29, 110, and 56), it appears that you have the dimensions of an isosceles triangle with side lengths 29, 29, and 110 units. To find the slant height, we can use the Pythagorean theorem on one of the right triangles formed by the base and the altitude (height) of the isosceles triangle. Let's call the height h and the slant height s.
(1/2 * 110)^2 + h^2 = 29^2
3025 + h^2 = 841
h^2 = 841 - 3025 = -2184 (invalid, as there cannot be a negative height)
It seems like there is an error in the provided dimensions, as the side lengths do not form a valid isosceles triangle. Please double-check the dimensions and provide the correct information so I can help you find the lateral surface area.
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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. a). Colors of M&Ms (red, orange, yellow, brown, blue, green) b). Depths (km) of earthquakes. c). Years in which U.S. presidents were inaugurated. d). The movie Avatar was given a rating of 4 stars on a scale of 5 stars. e). Volumes (cm) of brains. f). Body temperatures (in degrees Fahrenheit)
Answers
Answer:
a cuz it easy
Step-by-step explanation:
The amount of time it takes to complete a reading assignment might be a
function of which of the following?
O A. The number of pages in the assignment
B. The cost of the book
C. The year the book was published
Answers
Answer:
5 times
Step-by-step explanation: