Describe the number and type of roots for the polynomial (how many real and complex?). x3 + 5x2 – 4x – 2 = 0
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A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.
Related Questions
How do you represent 4/7 + 3/14 on a number line?
Please Help Asap!!
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helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
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We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16
A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
(3, 2)
(-3, 2)
(-3, -2)
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Answer:
i can confirm the above awnser is correct
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
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For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let f ( x ) f(x) represent Primo Pizza's profit x x days after June 1. Let g ( x ) g(x) represent Pizza Supreme's profit x x days after June 1. Suppose Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme. Express the function f f in terms of the function g
g.
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f (x) = Primo Pizza's profit
g (x) = Pizza Supreme's profit.
According to the statement we have:
"Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme"
Therefore, we can write one function in terms of the other in the following way:
f (x) = 2g (x)
Answer:
the function f in terms of the function g is:
f (x) = 2g (x)
The profit of Primo Pizza is twice the profit of Pizza Supreme each day. Therefore, if g(x) represents the profit of Pizza Supreme x days after June 1, then f(x), representing Primo Pizza's profit, is given by f(x) = 2g(x). This means if Pizza Supreme's profit on a particular day is $500, Primo Pizza's profit on the same day is $1000.
Explanation:In this problem, we are given that the profit of Primo Pizza (represented by the function f(x)) is two times larger than the profit of Pizza Supreme (represented by the function g(x)). This relationship between the two profits can be expressed as f(x) = 2 * g(x). So, if you know the profit of Pizza Supreme on a particular day (g(x)), you can determine the profit of Primo Pizza on that day by doubling the profit of Pizza Supreme.
For instance, if Pizza Supreme's profit 10 days after June 1st is $500 (so, g(10) = $500), then Primo Pizza's profit on the same day would be f(10) = 2 * g(10) = 2 * $500 = $1000. Thus, Primo Pizza is making twice the profit of Pizza Supreme each day.
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which method is most efficient in solving a system of linear equations when the two equation have x-values with opposite coefficient values
A. GUESS AND CHECK
B. GRAPHING
C. SUBSTITUTION
D. ELIMINATION
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For example, consider the system of equations below
2x+3y = 9
-2x+6y = 18
Adding straight down will have the x terms (2x and -2x) add to 0x which is just 0. The x terms will go away. In this case, the 2 and -2 are opposite coefficient values for the x terms.
Orlando bought a new couch for 2,736, using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
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y: debts after each month
y = $2736 - $114 * x
I hope this is self-explanatory.
Answer:
[tex]y = 2736 - 114x[/tex]
Step-by-step explanation:
It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.
we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.
Let the total number of month we are calculating = x
Payment per month = $114
Hence payment made in x months = $114x
Hence payment still owned by Orlando = $2736-$114x
Above equation gives us the dues on Orlando
Need the answer fast, anyone know?
Answers
Y> or = -1
Because if you plug in a number then it's the only one that fits
Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Write a function that models the inverse variation.
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y = k / x
We observe that we must find the value of k.
For this, we use the following fact:
"x = 1 when y = 12"
Substituting we have:
12 = k / 1
Therefore k = 12
Thus, the equation is:
y = 12 / x
For x = 20 we have:
y = 12/20
y = 6/10
y = 3/5
y = 0.6
Answer:
when x = 20, and is:
y = 0.6
See attached graph.
How many solutions does the following equation have?
4(y - 30) = 4y + 12
a. No solutions
b. Exactly one solution
c. Infinitely many solutions
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a. No solutions
A basketball player scored 2222 times during one game. hehe scored a total of 3030 points, two for each two-point shot and one for each free throw. how many two-point shots did hehe make
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A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
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Hope this helped :)
Answer:
Total number of mustard packets = 16,480
Explanation:
A restaurant buy mustard box = 160
Each mustard box contain packet = 103 packet
In order to find the total number of packets
Total number of packet = (number of mustard boxes)*(number of packets in a box)
Now put the values in given formula
Total number of packet = 160 * 103
Total number of packet = 16,480
final answer, I hope it helps
The area of a parallelogram is 400m2 the base is 25m find the length of the height
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The next term of the arithmetic sequence 39,60,81,102,123.....is
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so the next number is 123 +21 = 144
I WILL GIVE 40 POINTS FOR EACH QUESTION REALLY NEED HELP THERE ANOTHER POST FOR THE OTHER QUESTION IT WILL BE ANOTHER 40 AS WELL AND MARKED AS BRAIN~LEST AND STAR RATEING
Answers
The fourth page is The last option
The fifth page maybe the last one (im not sure)
Answer:The first page is S^2
The fourth page is The last option
The fifth page maybe the last one
Step-by-step explanation:
Which matrix will always give a determinant of 0?
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In the management of determinants, some properties can be established that facilitate calculation operations. Among those properties we have:
>> The determinant of a matrix with two rows or two equal columns is null.
Answer:
a matrix having two equal rows
Answer:
the answer is D!
Step-by-step explanation:
need help ive always had trouble with writing functions.
Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. write a function rule for the cost of n pieces of candy.
A. C(n)0.25n-0.75
B. C(n)=0.75n-0.25
C. C(n)=1.0n
D. C(n)=0.75n
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n pieces of candy = .75 cents x n pieces minus .25 cent coupon.
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house
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However, I will tell you how to solve it and you can apply on the graph you have.
Now, we are given that:
x-axis represents the distance in ft
y-axis represents the time in minutes
To get the time that she has walked when she reaches the farthest point from her house, all you have to do is:
1- go to the greatest point on the x-axis. This point would be representing the farthest distance.
2- get the value of the y corresponding to the x-point you got in step one. This would be the time walked when she reaches the farthest point which is the value you are looking for.
Hope this helps :)
Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?
24
36
48
60
Answers
she can make 48 different sandwiches
Answer:
The answer is 48
Step-by-step explanation:
For every different sandwich, she needs to choose one breat, one meat and one cheese.
For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.
There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.
Simplify by using fractional exponents.
[tex] \sqrt{mn}[/tex]
Answers
√mn = m^1/2 * n^1/2
Explanation:
1- square root means that the number is raised to the power 1/2.
Therefore:
√mn = (mn)^1/2
2- When we have a bracket containing two numbers multiplied by each other, and the whole bracket is raised to a certain power, then each number within the bracket would be raised to this same power.
This means that:
(mn)^1/2 = m^1/2 * n^1/2
Hope this helps :)
The radius of a circle is 10 feet. What is the angle measure of an arc 4 feet long?
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Hope this helps u
A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed
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Which of the following is not a method used to prove triangles congruent?
A) AAS Theorem
B) SSA Postulate
C) SAS Postulate
D) ASA Postulate
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Answer:
B) SSA Postulate
Step-by-step explanation:
Two triangles are congruent if they are of the same shape and size.
Two triangles can be proved congruent by AAS ,SAS ,ASA ,SSS ,HL postulates.
Two triangles are congruent if two angles and one side of both the triangles are congruent that is AAS and ASA postulates.(option A and D)
The triangles can be congruent by SAS that is if two sides and included angle of two triangles are congruent then the triangles are congruent .(Optionc)
Option B that is SSA is not a congruence postulate.
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
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Answer:
Step 3 is wrong, he used the wrong circle
Step-by-step explanation:
To determine the minimum number of employees, solve the inequality 2/3 x > 36 to find x > 54. In Miguel's cookie choice, the events are dependent. According to the law of large numbers, probabilities stabilize as the number of trials increases.
Explanation:The question involves solving and graphing an inequality to find the minimum number of employees in an office based on their preferences for soft cookies. Since two thirds prefer soft cookies and more than 36 employees stated their preference, we can write this as an inequality where x represents the total number of employees: 2/3 x > 36. To solve for x, we multiply both sides of the inequality by 3/2, giving us x > 54. This tells us that there must be more than 54 employees in the office.
To graph the inequality, we would draw a number line, plot a point just above 54, and shade to the right to indicate all the numbers that are greater than 54. The question of dependent probabilities relates to Miguel's cookie selection where each choice affects the next; the events are not independent. Finally, the law of large numbers indicates that as the number of trials n increases, the experimental probabilities tend to get closer to the theoretical probabilities.
a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-south. Is there a property for the boundary line that runs east-west
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No, there is no property for the boundary line that runs east-west.
Explanation:No, there is no property for the boundary line that runs east-west. This is because if we have a triangle with side lengths 45 meters, 60 meters, and 70 meters, and the 60 meter side runs north-south, then the other two sides must be at an angle to the north-south line. It is not possible for one of the sides to be parallel to the north-south line (east-west) because that would create a rectangle rather than a triangle.
Samantha has 3 times as many baseball cards as mark. mark has 12 baseball cards. write an equation that shows how many cards samantha has.
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hope this helped :)
A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *
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the number of squares in 15 quilts if 6 quilts have 288 squares
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[tex]288 \div 6 = 48 \\ 48 \times 15 = 720 \\ [/tex]
720 squares
Determine if each set of ordered pairs represents a function
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(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Answer:
Function:(7,-4), (0,9), (2,-2)
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Step-by-step explanation:
edge
What is the slope of a line perpendicular to the line y=3/4x+1
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The slope of the given line is 3/4. It's simply the value in front of the x. To be more specific, the equation given to us is in the form y = mx+b where m = 3/4 is the slope.
Flip the fraction and then the sign
flip the fraction: 3/4 ----> 4/3
Then flip the sign: 4/3 ----> -4/3
In other words, we take the negative reciprocal
Notice how the original slope 3/4 and the perpendicular slope -4/3 multiply to -1