The required nonreal solution of the given equation 4x⁴ – 8x³ + 4x² – 128x – 960 = 0 is –4i, 4i.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The given expression,
4x⁴ – 8x³ + 4x² – 128x – 960 = 0.
Factorization
4.(x + 3).( x - 5).(x² + 16) = 0
Now,
x + 3 = 0 ; x - 5 = 0 ; x² + 16 = 0
x = -3 ; x = 5 ; x = ± 4i
Thus, the required nonreal solution of the given equation is –4i, 4i.
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Answer:
B
Step-by-step explanation:
If you see marginal cost increasing in a graph, this implies that
a. marginal product must be increasing, too.
b. the additional cost incurred in producing one more unit of output is decreasing.
c. the company is experiencing some inefficiency in production.
d. the productivity of the company is increasing.
If you see marginal cost increasing in a graph, this implies that; b. the additional cost incurred in producing one more unit of output is decreasing.
What is the interpretation of the marginal cost?
The marginal cost is the change in total production cost that comes from making or producing one additional unit.
When marginal product is rising, the marginal cost of producing another unit of output is declining and when marginal product is falling marginal cost is rising. Thus, Option A and D are not correct.
Option C is wrong because Marginal cost helps to increase efficiency in production.
Thus, option B is the correct answer.
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Pleas help I give brainliest, its my final
If the measures os an exterior angle of a regular polygon is 120 degrees, how many sides does the polygon have?
Group of answer choices
3
6
5
4
select Function 4 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure.
Answer:
Domain: (-∞, 2] U (3, 6]
Range: (-∞ , 1] U (-1, 4]
Step-by-step explanation:
This is a piecewise function. It has a discontinuity at x=2 and x = 3
The domain of a piecewise function is the union of the domains of each piece of the function. Similarly the range for a piecewise function is the union of the ranges for each piece of the function
Looking at the graph, we can see two subdomains. When x ≤ 2 , we have one subdomain and when x > 3 there is another subdomain. We state this as
D = - ∞ < x ≤ 2 or 3 < x ≤ 6
In interval notation we represent this as
D = (-∞, 2] U (3, 6]
The nature of the brackets is important a [ or ] bracket means that the value to which it is attached is included whereas an open bracket, ( or ) means that value is not included
For example, (-∞, 2] means that everything below x = 2 to -∞ is part of the domain but it does not include -∞; since at -∞, a function is not defined. However it does include 2 in the domain as can be seen by the closed bracket on the right
The other subdomain is for x > 3 (note: a filled circle means the value is included, an empty circle denotes the value is excluded)
The second subdomain is
3 < x ≤ 6
In interval notation, it is (3, 6]
So the total domain is the union of the two intervals
The range is also discontinuous and there are two distinct ranges. The range is nothing but all the set of values generated by the function. So we look at all possible values for y that the function produces
The Range of this function is -∞ < f(x) ≤ 1 or -1 < f(x) ≤ -4
In interval notation this is
R = (-∞ , 1] U (-1, 4]
hellllpppp will give brainliest !!
Who is your favorite y-o-u-t-u-b-e-r
Answer:
dream
Step-by-step explanation:
why not
Answer:
Mine is 5 minute crafts
I love crafts, so ya. They are pretty popular
please give me brainiest :) !
Which equation matches the graph shown?
Answer:
very easy question.
Step-by-step explanation:
option 3 is correct
Use the slope formula to determine the slope of the line containing the two points.
(8/5, - 9/2) and (-3/4, 1/3)
A) -250/51
B) -366/65
C) 290/51
D) -290/141
The value of y varies directly with x. When y=2 2/5,x=3/5 what is the value of y when x is 4/5
A 1 1/5
B 3 3/5
C 3 1/5
D 5 1/5
Answer:
the correct ans should be 88/15
Step-by-step explanation:
since, y is directly proportional to x then,
y=kx where k=proportionality constant
when y=22/5 and x=3/5
or,22/5=k*3/5
or,22/5*5/3=k
•°•k=22/3
now, when x=4/5
we know,
y=kx
or,y=22/3*4/5
•°•y=88/15
please help it’s urgent!!
Answer:
I believe the answer is A
Step-by-step explanation:
Since when translating down it moves the Y variable and not the X and when reflecting it will turn negative X (-3) into positive 3
pls help me on this
Which statement explains the difference between a point and a vertex?
A vertex can be used to create other geometric shapes, and a point is always part of a shape.
A point does not have a formal definition, and a vertex is described through undefined terms.
A vertex contains an infinite number of points, and a point does not have width or depth.
A point continues infinitely in one direction, and a vertex does not have width or depth.
Answer:
Its B
Step-by-step explanation:
Answer: A point does not have a formal definition, and a vertex is described through undefined terms.
What are the two other ways you can write the ratio 3 to 4?
Blank 1:
Question 2
A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys? Please try to simplify
Blank 1:
Question 3
Simplify the ratio 12 to 15
Blank 1:
Question 4
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
Blank 1:
Question 5
Simplify the ratio 24/32
Blank 1:
Step-by-step explanation:
1. 3:4, 6:8, 9,12
So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3 is 5 so question to is 4:5
the ratio of 3to4 is 7.42069 and 12 to 1362 the others r to hard for my big brain
Step-by-step explanation:
Find the quotient of 5 1/2 and 1/8
Answer:
5.625
Step-by-step explanation:
5 1/2 + 1/8 = 5 5/8 = 5.625
Kim is having a pizza party. Two large pizzas serve 9 people. How many large pizzas should she order to serve 36 guests at the party?
Triangle B has vertices (−1, 2), (1, 2), and (−1, 1).
Which triangle is similar to triangle B?
Triangle X with vertices (−2, 4), (2, 4), and (−2, 2)
Triangle Z with vertices (−2, 4), (2, 4), and (−2, 3)
Triangle Y with vertices (−1, 4), (1, 4), and (−1, 2)
Triangle W with vertices (−2, 0), (2, 0), and (−2, −1)
Step-by-step explanation:
Triangle X with vertices (−2, 4), (2, 4), and (−2, 2)
Two similar triangles have the same corresponding ratio thus the triangle similar to{ (−1, 2), (1, 2), and (−1, 1) } is { (−2, 4), (2, 4), and (−2, 2) } thus option (A) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
As per the given vertices of a triangle (−1, 2), (1, 2), and (−1, 1).
The plot of the triangle using the above vertices plotted below,
The triangle with vertices (−2, 4), (2, 4), and (−2, 2) also has been plotted.
The ratio of the corresponding length of the blue triangle to purple is 4/2 = 2.
Hence "Two similar triangles have the same corresponding ratio thus the triangle similar to{ (−1, 2), (1, 2), and (−1, 1) } is { (−2, 4), (2, 4), and (−2, 2)". }
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The total cost to go horseback riding is a dollars per hour plus a $2 fee for renting a helmet. Which
expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select
all that apply.
4(3x + 2)
3(4x + 2)
063 +3 + 6x + 5
4(3.0) + 4(2)
12x + 8
3x(4) + 2
Answer:4(3x +2)
Step-by-step explanation:
The expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each is 4(3x + 2).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total cost to go horseback riding is a dollar per hour plus a $2 fee for renting a helmet.
Let, The number of hours is represented by 'x'.
Therefore, The cost of riding with a helmet is,
= x + 2.
The cost of riding for 3 hours is 3x + 2 and the cost for 4 people is doing the same is, 4(3x + 2).
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←
Find the distance between the points.
(-3,0) and (3,0)
Answer:
It would be 0
Step-by-step explanation:
as both points lie on x-axis
Simplify the expression: 3(5x - 2) + 3x
Answer:
Original: 3(5x - 2) + 3x
15x - 6 +3x
Answer: 18x - 6
Answer:
18x-6
Step-by-step explanation:
3(5x-2)+3x
Distribute 3 into the parathesis: 15x-6+3x
Combine like terms: 18x-6
Your final answer is 18x-6
Margret is inviting 3 friends to a party. If each friend will get 8 cookies and each box has 6 cookies, how many boxes does Margret need to get?
Answer:
Margret need to get 4 boxes of cookies.
Step-by-step explanation:
Total friends = 3
Cookies each friend will get = 8
Each box has cookies = 6 cookies
How many boxes does Margret need to get?
Total cookies will be= Total friends x Cookies each friend will get
Total cookies will be= 3 x 8 = 24
If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes
Number of boxes = Total cookies/ number of cookies in one box
Number of boxes = 24/6
Number of boxes = 4
So, Margret need to get 4 boxes of cookies.
PLS HELP FOR A GRADE DUE TODAY BRUH PLS
Answer:
A Yes, because every x-vaule has a single y-vaule
Step-by-step explanation:
None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.
Answer:
A
Step-by-step explanation:
What is 32% lower than 501,950?
Answer:
341, 326
Step-by-step explanation:
please HURRY IM ON A QUIZ
if 2 is substituted for x, which expression will NOT equal 5?
Answer:
It will be 2x -1
If x=2
2*2 - 1 = 4 - 1 = 3
Step-by-step explanation:
7 - x If x=2
7 - 2 = 5
11 - 3x If x=2
11 - 3*2 = 11 - 6 = 5
2x -1 If x=2
2*2 - 1 = 4 - 1 = 3
4x - 3 If x=2
4*2 - 3 = 8 - 3 = 5
Which function has a vertex on the y-axis?
O fx) = (x - 2)2
O f(x) = x(x + 2)
O f(x) = (x-2)(x+2)
O f(x) = (x + 1)(x - 2)
Answer: c
Step-by-step explanation:
Just took the test
Multiply. Write your answer as a fraction in simplest form.
5
4x
6
A truck loaded 1258 kg of rice from Factory A.
loaded 855 kg more rice from Factory B than from Factory A.
How many kilograms of rice did it load altogether?
Answer:
1258
+855
8 plus 5 =13
so you will write the 3
reminder 1
5plus 5=10 plus 1=11
so you will write 1 reminder 1
8 plus 2 plus 1=11
so you will write 1 reminder 1
1 plus 1=2
ANS:2113
Pls Convert the following base ten numbers to base six with formula
1. 12
2. 31
3. 41
This is urgent pls as fast as possible
The base ten numbers to base six for the following is
1. 12 (base 10) =20(base 6)
2.31 (base 10) =51(base 6)
3. 41 (base 10) =105(base 6)
The procedure to find the base ten number to base six
We have to divide the number 12 repeatedly by 6 until the quotient becomes 0.
When 12 is divided by 6 the quotient is 2 and the remainder is 0.
When 2 is divided by 6 the quotient is 0 and the remainder is 2.
Now, Write the remainder from top to bottom.
We get [tex]12_{10} =20_{6}[/tex]
Similarly we do, 31 and 41
When 31 is divided by 6 the quotient is 5 and the remainder is 1.
When 5 is divided by 6 the quotient is 0 and the remainder is 5.
Now, Write the remainder from top to bottom.
We get [tex]31_{10} =51_{6}[/tex]
When 41 is divided by 6 the quotient is 6 and the remainder is 5.
When 6 is divided by 6 the quotient is 1 and the remainder is 0.
When 1 is divided by 6 the quotient is 0 and the remainder is 1.
Now, Write the remainder from top to bottom.
We get [tex]41_{10} =105_{6}[/tex]
Therefore, The base ten numbers to base six for the following is
1. 12 (base 10) =20(base 6)
2.31 (base 10) =51(base 6)
3. 41 (base 10) =105(base 6)
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A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviation is known to be 0.09 ounces. If we wish to estimate the population average cereal box weight to within 0.011 ounces and be 94% confident, how large a sample should be used
Answer:
the sample should be 237
Step-by-step explanation:
The computation of the large the sample be used is shown below:
Given that
Standard deviation = 0.09 ounces
margin of error = 0.011
For 94% confidence interval, the z value be 1.88
As we know that
Margin of error = ((z score × standard deviation) ÷ (Sample size))^2
0.011 = (1.88 × 0.09) ÷ (Sample size))^2
0.011 = 0.1692 ÷ (Sample size))^2
So, the sample size be
= 15.38^2
= 236.60
Hence, the sample should be 237
62.1 divided by 58.6
Answer:
62.1/ 58.6= 1.05972696
the rounded answer would be 1.06
Step-by-step explanation:
Answer:
62.1 divided by 58.6=1.05972696
A circle has a radius of 9 units and a center located at (-5, 2) on a coordinate plane.
Which of the following equations represent this circle?
A (x - 5)2 + (y + 2)2 = 81
B
Kx + 5)2 + (-2)2 = 81
(x - 5)2 + + 2)2 = 3
(x + 5)2 + (-2) = 3
Answer: (x+5)^2+(y-2)^2=81
Step-by-step explanation:
The equation of the circle will be equal to ( x + 5 )² + ( y - 2 )² = 81
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that:-
A circle has a radius of 9 units and a centre located at (-5, 2) on a coordinate plane.The equation of the circle will be:-
( x - h )² + ( y - k )² = r²
( x + 5 )² + ( y - 2 )² = 81
Therefore the equation of the circle will be equal to ( x + 5 )² + ( y - 2 )² = 81
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