Among the following answers, which one contains only factors ofx ³ - 16x? O x + 16, x² + 16 O x-16, x² x+16 x +4 x + 16, x² + 4 No Answer O
Answers
The answer is "No Answer" since none of the given answer choices contains only factors of x³ - 16x.
The given expression is x³ - 16x. We can factor this expression using the difference of cubes formula as follows:
x³ - 16x = (x - 2∛2)(x² + 2∛2x + 4)
Now we need to check which of the given answer choices contains only factors of this expression.
Option a) x + 16 contains a factor of x + 16 which does not appear in our factorization of x³ - 16x, so this option is not correct.
Option b) x² + 16 does not contain any factors of x³ - 16x, so this option is not correct.
Option c) x - 16 contains a factor of x - 16 which does not appear in our factorization of x³ - 16x, so this option is not correct.
Option d) x + 4 and x + 16 are not factors of x³ - 16x. The term x² + 4 appears in the factorization of x² + 2∛2x + 4, but we can see that it is not a factor of x³ - 16x. Therefore, this option is not correct.
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Related Questions
Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon? *
Answers
Answer:
8.50
Step-by-step explanation:
Divide $22.10 over 2.6 pounds of salmon
Answer:
$8.50
Step-by-step explanation:
Divide $22.10 over 2.6 pounds of salmon
Consider the following 2 person, 1 good economy with two possible states of nature. There are two states of nature j € {1,2} and two individuals, i E {A, B}. In state- of-nature j = 1 the individual i receives income Yi, whereas in state-of-nature j = 2, individual i receives income y,2. Let Gij denote the amount of the consumption good enjoyed by individual i if the state-of-nature is j. State-of-nature j occurs with probability Tt; and 11 + 12 = 1. Prior to learning the state-of-nature, individuals have the ability to purchase or sell) contracts that specify delivery of the consumption good in each state-of-nature. There are two assets. Each unit of asset 1 pays one unit of the consumption good if the state- of-nature is revealed to be state 1. Each unit of asset 2 pays one unit of the consumption good in each state-of-nature. Let dij denote the number of asset j € {1,2} purchased by individual i. The relative price of asset 2 is p. In other words, it costs p units of asset 1 to obtain a single unit of asset 2 so that asset 1 serves as the numeraire (its price is normalized to one and relative prices are expressed in units of asset 1). Individuals cannot create wealth by making promises to deliver goods in the future so the total net expenditure on purchasing contracts must equal zero, that is, 0,,1 + po 2 = 0. Individual i's consumption in state-of-nature j is equal to his/her realized income, yj, plus the realized return from his/her asset portfolio. The timing is as follows: individuals trade in the asset market, and once trades are complete, the state-of-nature is revealed and asset obligations are settled. The individual's objective function is max {714(G,1)+12u(6,2)}. 1. Write down each individual's optimization problem. 2. Write down the Lagrangean for each individual. 3. Solve for each individual's optimality conditions. 4. Define an equilibrium. 5. Provide the equilibrium conditions that characterize the equilibrium allocations in the market for contracts. 6. Let the utility function u(e) = ln(c) so that u'(c) = . Solve for the equilibrium price and allocations.
Previous question
Answers
The optimization problem for individual A is to maximize their objective function: max {7A(GA1) + 12u(A,G2)}. The Lagrangean for individual A can be written as: L(A) = 7A(GA1) + 12u(A,G2) + λ1(IA1 - DA1) + λ2(IA2 - DA2) + μ1(IA1 - pIA2) + μ2(IA2 - IA1 - IA2).
To solve for individual A's optimality conditions, we take the partial derivatives of the Lagrangean with respect to the decision variables: ∂L(A)/∂GA1 = 0, ∂L(A)/∂GA2 = 0, ∂L(A)/∂IA1 = 0, and ∂L(A)/∂IA2 = 0.
An equilibrium is defined as a set of allocations (GA1, GA2) and prices (p) such that all individuals optimize their objective functions and markets clear, i.e., the total net expenditure on purchasing contracts is zero. The equilibrium conditions that characterize the equilibrium allocations in the market for contracts are: ∑AIA1 + ∑BIB1 = 0, ∑AIA2 + ∑BIB2 = 0, and IA1 + IB1 = IA2 + IB2.
Given the utility function u(e) = ln(c), we can solve for the equilibrium price and allocations by setting the optimality conditions equal to zero and solving the resulting system of equations.
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Han draws a triangle with a 50 angle, a 40 angle, and a side of length 4 cm as shown. His instructions were to draw as many triangles as possible.
Answers
According to the information, We can continue drawing more triangles by varying the angles in different ways.
How to draw triangles?Since the given triangle has one side with a fixed length of 4 cm, we can draw an infinite number of triangles by varying the other two angles.
To draw the second triangle, we can keep the 50 degree angle fixed and change the 40 degree angle. For example, we could draw a triangle with a 50 degree angle, a 60 degree angle, and a side of length 4 cm.
To draw the third triangle, we can keep the 40 degree angle fixed and change the 50 degree angle. For example, we could draw a triangle with a 30 degree angle, a 40 degree angle, and a side of length 4 cm.
We can continue drawing more triangles by varying the angles in different ways.
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pls help i only have 10 minutes on my math test!!
the ratios are
8:5 ?????:10
Answers
Answer:
8:5. 16:10
Step-by-step explanation:
5 was doubled so you would double 8 aswell
what additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria? question 10 options: a) ∠f ≅ ∠h b) ≅ c) ≅ d) ||
Answers
The additional information that would allow us to prove the quadrilateral is a parallelogram according to the minimum criteria is option d) || (parallel).
In order to prove that a quadrilateral is a parallelogram, the minimum criteria require that opposite sides are parallel. From the given options, option d) || (parallel) is the only choice that directly relates to the parallelism of the sides.
If we have information indicating that the opposite sides of the quadrilateral are parallel, then we can conclude that the quadrilateral is a parallelogram. This is because one of the defining properties of a parallelogram is that its opposite sides are parallel.
The options a) ∠f ≅ ∠h, b) ≅, and c) ≅ do not provide sufficient information to establish the parallelism of the sides. Without information about angles or congruent sides, we cannot make a definitive conclusion about the quadrilateral being a parallelogram.
Therefore, option d) || (parallel) is the correct choice for proving that the quadrilateral is a parallelogram according to the minimum criteria.
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The blue dot is at what value on the number line?
Answers
Answer:
I'm pretty sure it's 3.
Step-by-step explanation:
If you count below 7, along with the line marks (7, 6, 5, 4, 3), you'll reach the number 3. Sorry if it's wrong!
Answer: 3
Step-by-step explanation:
You see that every two lines you go up by two so every line you go up by two, so you count backward from seven, until you reach the dot. The dot is 3
if the probability of a super event increases, does the unique event risk increase or decrease in importance. why
Answers
The relative importance of unique events may decrease as the probability of a super event increases, it is important to consider all potential risks and their unique characteristics in a comprehensive approach to risk management.
The relationship between the probability of a super event and the importance of a unique event is complex and depends on several factors. Generally speaking, as the probability of a super event increases, the importance of a unique event may decrease in relative importance.
This is because the focus shifts from rare events to more probable ones. As the probability of a super event increases, there may be a greater need to allocate resources toward preventing or mitigating the effects of such events. This can mean that resources that were previously allocated to mitigating the risks of unique events may be redirected towards addressing the more significant risk posed by the super event.
However, it is important to note that the importance of unique events should not be overlooked or underestimated. These events may still pose significant risks and may require specific measures to prevent or mitigate their effects. Additionally, unique events may have consequences that cannot be addressed by measures intended to address super events.
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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
Answers
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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Enter an equation in point-slope form for the line.
Slope is -4 and (1,8) is on the line.
The equation of the line in point slope form is:
Answers
y-8= -4(x-1)
point slope form without the numbers is
y-y1=m(x-x1)
100 points & brainliest!
Answers
Answer:
Part 1:
A: $2.69 per lb
B: $2.59 per lb
Part 2:
Brand B is a better deal because it costs less per pound of ham.
Step-by-step explanation:
To find the unit price of each brand, divide the cost by the weight.
A: \(\frac{13.99}{5.2} =2.69\)
B: \(\frac{16.06}{6.2} = 2.59\)
Answer:
Part 1:
A: $2.69 per lb
B: $2.59 per lb
Part 2:
Brand B is a better deal because it costs less per pound of ham.
Step-by-step explanation:
To find the unit price of each brand, divide the cost by the weight.
Round to the nearest tenths with the number 182.886
Answers
Answer: 182.9
Step-by-step explanation: if the next digit after the tenths place is 5 or higher, you round it up to the next number.
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
Answers
The probability P(A and B) that both events will occur is 8/13
Calculating the probability that both events will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 6 and 6
Event B = 20 and 6
Event A and B = 6
Total = 6 + 6 + 20 + 6 - 6 + 20 = 52
Using the above as a guide, we have the following:
P(A) = 12/52
P(B) = 26/52
P(A and B) = 6/52
The probability that both events will occur is represented as
P(A and B) = P(A) + P(B) - P(A and B)
And this is calculated as
P(A and B) = P(A) + P(B) - P(A and B)
Substitute the known values in the above equation, so, we have the following representation
P(A and B) = 12/52 + 26/52 - 6/52
Evaluate
P(A and B) = 32/52
Simplify
P(A and B) = 8/13
Hence, the probability that both events will occur is 8/13
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solve
please help me.
Answers
Answer:
x ≥ 3
Step-by-step explanation:
Use special right triangles 45-45-90 to solve for x and y. Round to the nearest tenth.
Answers
The value of x and y of the right triangle is x = y = 15.6
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of the hypotenuse of the triangle AC = 22
And , the triangle is a 45 - 45 - 90 triangle
So , the sides are in the ratio n : n : n/√2
And , if the measure of the two congruent sides of such a triangle is x each, then the three sides will be x, x and √2x
From the trigonometric relations ,
sin 45° = y/22
Multiply by 22 on both sides of the equation , we get
y = ( sin 45° ) 22
y = 22/√2
On simplifying the equation , we get
y = 15.6
And , the value of x = y = 15.6
Hence , the right triangle is solved
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x+5y=5
2x-y=-4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
Answers
i need help………………………………
Answers
The domain and the range of the piecewise function for this problem are given as follows:
Domain D: All real values.Range R: [-2, ∞).How to find the domain and the range of a function?The domain of a function is the set that contains all the values assumed by the values of x of the function.The range of a function is the set that contains all the values assumed by the values of y of the function.For this problem, the piecewise function is defined for all values of x, hence the domain is all real values.
The range is obtained as follows:
Up to x = 3: Positive infinity to y = -2, which is the least value assumed at x = 3.From x = 3 to x = 5: values from y = 3 to y = 5, which are already in the range for the above interval.x = 5 and greater: constant at y = -1, which is already in the range.Hence the range is given as follows:
[-2, ∞).
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Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)
Answers
Answer:
\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)
Step-by-step explanation:
The general form of a quadratic polynomial is given by:
\(ax^2+bx+c\) (1)
You have the following polynomial:
\(3x^2-10x+8\) (2)
In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:
\(x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\) (3)
By comparing the equation (1) with the equation (2) you obtain:
a = 3
b = -10
c = 8
Then, you replace these values in the equation (3):
\(x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}\)
Then, the factorization of the polynomial is:
\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)
the lowest common multiple of 9, 6 and 4 is? i just need numbers :)
Answers
Answer:
I think its 36
Step-by-step explanation:
help me out i will gave you points
Answers
Answer:
Y is a variable and 9 is a constant. Y and 9 is are also a term
Step-by-step explanation:
Ms. Alvarez wants to determine the seventh graders’ preferences for the location of the end-of-year field trip. Which of the samples is representative of the population?
Answers
Using sampling concepts, the representative sample is given as follows:
D. Every fifth student from an alphabetical list of all seventh graders in the school.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:
D. Every fifth student from an alphabetical list of all seventh graders in the school.
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PLZ HELP MATH!
ASAP MANY POINTS REWARDED!
Answers
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
Plzzz help ASAP find the value for x
Answers
Answer:
x = 50
Step-by-step explanation:
The base angles of an isosceles triangle are the same
The unmarked angle is also x
The sum of the angles of a triangle is 180
x+x+ 80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80 = 180-80
2x = 100
Divide by 2
2x/2 = 100/2
x = 50
Find the perimeter of the following figure
plsplspls
Answers
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
M angle XHK=(8x+6) and m angle HKV = 126
1. m angle XHK
2. m angle HKV
Answers
Question 3
\(m\angle XHK=126^{\circ}\) by the alternate interior angles theorem.
Question 4
\(m\angle HKV=126^{\circ}\) because it is given.
true or false: the capital gains yield = (pt 1 â pt)/dt.
Answers
The formula the capital gains yield = (pt 1 â pt)/dt is false.
The proper equation for capital gains yield
return on investment = (pt - pt-1)/pt-1
where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.
This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource.
The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. yield = (pt 1 â pt)/dt is false.
The proper equation for return on investment is:
return on investment = (pt - pt-1)/pt-1
where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.
This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource.
The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.
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Which ratio is equivalent to 3/7
A) 6 to 10
B) 9:21
C) 12/35
D) 7 to 3
Answers
Answer: B 9:21
Step-by-step explanation:
9 reduces to three and 21 reduced to 7
Which of the following is true about the
Pythagorean Theorem?
A: The Pythagorean Theorem can be used
to determine the side lengths of any right
triangle
B: The Pythagorean Theorem can be used to
determine the side lengths of any triangle.
C: The Pythagorean Theorem can be used
to determine the angle measures of any
right triangle.
D: The Pythagorean Theorem can be used
to determine the angle measures of any
triangle.
—
If you got a good answer, ima give you brainliest.
Answers
Answer:
A. The Pythagorean Theorem can be used to determine the side lengths of any right triangle
Step-by-step explanation:
The Pythagorean Theorem is supposed to be used to identify the SIDE lengths of ANY RIGHT TRIANGLE.
I also had this question today as well, and I got it correct :)
The statement i.e. true about the Pythagorean Theorem is option A.
A. The Pythagorean Theorem can be used to determine the side lengths of any right triangle
The following information should be considered;
It is to be used for identifying the side length for any kind of right triangle. The right triangle should be of 90 degree. Therefore, all the other options are wrong.
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Please help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
Answers
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
i need someones help with this question
Answers
If f(x)=-x+6 and g(x)=-x^2-2x+8, the solutions to the equation f(x)=g(x) are x= and x=
Answers
The solution to the equation f(x)=g(x) are x=-2 and x=1.
What is solution to an equation?The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.
Now, f(x)=g(x)
-x+6=-x²-2x+8
⇒ x²+x-2=0
⇒ x²+2x-x-2=0 (Splitting middle term method)
⇒ x(x+2)-1(x+2)=0
⇒ (x+2)(x-1)=0
⇒ x+2=0 and x-1=0
⇒ x=-2 and x=1
Therefore, the solution for the obtained equation are x=-2 and x=1.
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