Which is a possible combination of root types for a 7th degree polynomial?
Which is a possible combination of root types for a 7th degree polynomial?
6 rational roots, 1 irrational root
3 irrational roots, 4 complex roots
2 rational roots, 2 irrational roots, 3 complex roots
7 rational roots
Given:
Degree of a polynomial is 7.
To find:
The possible combination of root types for a 7th degree polynomial.
Solution:
We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.
Similarly,
Irrational roots are also occurs in pairs. If [tex]1+\sqrt{2}[/tex] is a root of polynomial, then its [tex]1-\sqrt{2}[/tex] is also the root of that polynomial, it means number of irrational roots always an even number.
In options A, B and C either complex or irrational roots are odd, which is not true.
Therefore, the correct option is D.
Dermot bakes 420 cakes.
He bakes only vanilla cakes, banana cakes and lemon cakes. 120 of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
Work out the number of lemon cakes Dermot bakes. PLEASEE I NEED NOW
Answer:
Step-by-step explanation:
lemon cakes:105
420-120=300
35% of 300:
35 divided by 100*300=105
Number of lemon cakes Dermot bakes are 153.
What is percentage?"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percent."
According to the problem
Number of vanilla cakes = 120
Total number of cakes = 420
Banana cakes = 35 % (35 percentage) of total cakes
= 420 × 35%
= 420 × [tex]\frac{35}{100}[/tex]
= 147
So the lemon cakes are = Total cakes - banana cakes - vanilla cakes
= 420 - 147 - 120
= 153
Hence, number of lemon cakes Dermot bakes are 153.
Learn more about percentage here
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solve for s in the equation please
Answer:
option A.)
s = A - bc ÷ u
Step-by-step explanation:
A = bc + us
us + bc = A
us = A - bc
s = A - bc/u
-TheUnknownScientist
what is the final step in the inequality -2(5-4x)<6x-4
Answer:
x < 3
Step-by-step explanation:
-2(5-4x)<6x-4
In this inequality, we are to solve for x using the steps below;
-2(5-4x)<6x-4
Expand the parentheses on the left hand side of the expression;
-10 + 8x < 6x - 4
Collect like terms to both sides;
-10 + 4 < 6x - 8x
-6 < -2x
Divide both sides by - 2; Note the sign of the inequality changes;
3 > x or x < 3
PLEASE HELP FAST!!!! I WILL MARK BRAINLIEST!!!!!!!!!!
Select all of the inequalities that have (-3,-1) as a solution.
Answer:
what inequalities? all I see is a black void
Step-by-step explanation:
Answer:
Step-by-step explanation:
can´t see the graph. its black
F
E
B
D
a. Identify at least two pairs of congruent angles in the figure and explain how you know they are
congruent.
Answer:
A,B,C,D,E,F
Step-by-step explanation:
So it's A,D
Consider the following graph of an exponential function.
Part A: Define the domain.
Part B: Define the range.
Part C: Where is the graph increasing?
Part D: Where is the graph decreasing?
Part E: Identify any relative maximums.
Part F: identify any relative minimums.
Answer: welcome
Step-by-step explanation:
A= All are real numbers
B=y>-2
c= the graph is not increasing
d= the graph is decreasing for all real numbers of x
none for both
Complete the equation of the line through (1,4) and (2,2).
y=
Answer:
[tex]y=-2x+6[/tex]
Step-by-step explanation:
which of the following is true regarding the solutions to the logarithmic equation below 2log ^6(x)=2 log ^6 (x^2 )=2 x^2=36 x=6,-6
Answer:
Step-by-step explanation:
I'm assuming these are logs to the base 6
2 log6 x = 2
log6 x^2 = 2
So x^2 = 6^2
x = 6, -6.
Answer:
It's C
Step-by-step explanation:
Edge 2020!
A cone with a radius of 12 units and a height of 6 units
Help asappp!!!!!!!!!!
Answer:
2.5*15 is 37.5 miles so he has run more than 30 miles in 15 days.
Answer:
More than 30 milesStep-by-step explanation:
Estimated distance run everyday : 2.5 miles → rounding down = 2 miles
Time = 15 daysTotal = 2*15 = 30 milesSince we rounded down, the total distance in reality is more than 30 miles
Write an ordered pair for the point in Quadrant III that is 3 units away from point Q (1.5,
-1.5) on the coordinate plane.
Answer:
Its 1.66
Step-by-step explanation:
Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. What is the constant of proportionality, or k? c. In a complete sentence, explain what k means in the context of this problem.
Answer:
a) $0.83
b) k = 1.205
c) In the context of this problem, k means
The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price
Step-by-step explanation:
Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.
a. What is the unit price?
The unit price means the cost of 1 cookie
Hence:
3 chocolate chip cookies = $2.49
1 chocolate chip cookies = x
3x = $2.49 × 1
x = $2.49 × 1/3
x = $0.83
Hence, the unit price = $0.83
b. What is the constant of proportionality, or k?
Chocolate chip cookie ∝ Price
Chocolate chip cookie is directly proportional to the Price
C = kP
Where k is constant of proportionality
k = Chocolate chip cookie/Price
k = C/P
Hence,
k = 3/2.49
k = 1.2048192771
k = 1.205
c. In a complete sentence, explain what k means in the context of this problem.
In the context of this problem, k means
The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price
Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Ashley spent $152 on 12 hostas and 8 bunches of ornamental grass. Joe spent $66 on 6 hostas and 3 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.
Answer:
one hosta=$6
one ornamental grass=$10
Step-by-step explanation:
6 10?
6*6+3*10
36+30
66
12*6+8*10
72+80=152
Aditya has $120 in his savings account and Sarah has $180 in her account. Each week Aditya adds $14 to his account and Sarah adds $10 to hers. How many weeks will it be before Aditya and Sarah have the same amount of money saved up? Write an equation and solve.
1) Does the pair of ratios form a proportion? *
3 points
Yes
No
Answer:
Yes
Step-by-step explanation:
Divide 4/8 by 2 then you get 2/4 which is also 1/2
Answer:
YES bc there all possative and there even numbers!
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a great day! :)
If you need help with anything HMU and i got you, no points included :)
Here is a recipe for hot chocolate. The recipe makes 4 cups. You and 7 friends are going to enjoy some hot chocolate outside, socially distanced of course.
Answer:
The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.
Step-by-step explanation:
The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.
HELP PLEASEEEE ON THIS
Answer:
I am so sorry bro but the question literally makes no sense. If the people are selling 320 per night bc the price is $9.00, and rise it up to 0.15, one that would not help lower the selling per night and also there is no other way by solving to problem... :(
Step-by-step explanation:
this is pretty hard
Answer:
yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!
Step-by-step explanation:
Plz help
This is due tonight and I’m literally struggling to complete it all
Problem 10
Answer: 20 degrees
Explanation: Angle GBE = 20 is shown in the diagram which is adjacent to the angle we want. Recall that the incenter is found by constructing the angle bisectors of a triangle. The angle bisectors cut each angle in half. So angle ABG and angle GBE are the same measure.
========================================================
Problem 11
Answer: 22 degrees
Explanation: We'll use similar reasoning as above to find that angle GCA is 11 degrees. So angle BCA = (angle BCG)+(angle GCA) = 11+11 = 22.
========================================================
Problem 12
Answer: 118 degrees
Explanation: Make a copy of triangle ABC. Ignore the other line segments inside the triangle. We found so far that angle B = 20+20 = 40 degrees and angle C is 22 degrees. Solve A+B+C = 180 to get A = 118. This is the measure of angle BAC.
========================================================
Problem 13
Answer: 59
Explanation: Cut the result of problem 12 in half. We're using the same idea as problem 1. Segment AG cuts angle BAC into two equal halves.
========================================================
Problem 14
Answer: 4
Explanation: We can show that triangles GEB and GDB are congruent by the AAS congruence theorem. Note the two pairs of congruent angles, and the pair of congruent sides that are not between the angles. From there, we see the corresponding pieces GE and GD are the same length. The diagram shows GE = 4, so GD = 4 also.
========================================================
Problem 15
Answer: 11
Explanation: Same idea as problem 14. This time we focus on the corresponding congruent parts BD and BE, which are both 11 units long.
========================================================
Problem 16
Answer: sqrt(137)
Explanation: Focus on triangle GDB or triangle GEB (they're the same triangle, just one is a mirror reflection of the other). Use the pythagorean theorem with a = 4, b = 11 to find that c = sqrt(137)
========================================================
Problem 17
Answer: 4*sqrt(26)
Explanation: We'll use a similar idea as problem 14. We can prove triangles GFC and GEC are congruent by AAS. Consequently, we know that FC = EC = 20. The diagram shows EG = 4. Focus on triangle GEC. Use the pythagorean theorem to find that GC = sqrt(416) = 4*sqrt(26)
Given the mean is 19, find the value of x. -3, 10, 22, x, 28
Answer:
The value of x = 38
Step-by-step explanation:
As we know that
The mean of a data set is the sum of the terms divided by the total number of terms.
Using math notation we have:
Mean = (Sum of terms) ÷ (Number of terms)
As
Number of terms = 5Mean = 19Sum of terms = -3 + 10 + 22 + x + 28so mean the equation becomes
Mean = (Sum of terms) ÷ (Number of terms)
19 = (-3+10+22+x+28) ÷ 5
19 × 5 = -3+10+22+x+28
95 = x + 57
x = 95 - 57
= 38
Therefore, the value of x = 38
Convert: 200 fluid ounces = ? cups
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
0.88 as a fraction in simplest form
Answer:
22/25
Step-by-step explanation:
0.88×100/1×100=88/100
88÷4/100÷4=22/25
Answer: 22/25
Step-by-step explanation:
i took the test
What postulate or theroem prove these triangles are congruent?
Answer:
The Answer To Your To Your Question Is SAS (Side-Angle-Side) Theroem
Answer:
Side angle side Theorem
Step-by-step explanation:
please help me i’ll mark brainliest
Answer:
It is a function because it doesn't have 2 inputs (do vertical line test)
Step-by-step explanation:
A function only has one input.
TIP: make sure no points connect. If they do, it's not a function.
Choose the correct answer to 3,979 5.
A 795
B 795 R4
C 794 R9
D 796
Answer: B
Step-by-step explanation: Pic is attached. Long Division. Hope this helps. Sorry for bad handwriting, writing with a mouse.
Answer:
its B
Step-by-step explanation:
Harriet had 6 pounds of nails that cost $35.34. If each pound of nails was the same price, how much was one pound of nails?
Answer:
The answer is $5.89
Part A
View the graph of f(x) =- 2x2 - 4x + 3 in Desmos. Can the graph of f(x) be
the equation that matches this graph above? Explain your reasoning using
complete sentences.
What the answer ?
It is 185 miles to Fort Worth. If Vang drives 2 hours at 65 miles per hour, how far will he be from Fort Worth?
Multiply the number of hours times the number of miles per hour.
Then subtract the number of miles driven from the total number of miles.
Write and solve the arithmetic problem for the first step.
Answer:
130
Step-by-step explanation:
65x2=130
185-130=155'
hope this helps :)
brainliest plz
Carl and Tim start a yard cleaning business. During the first week they
purchased 2 shovels and 2 brooms for $45. They also purchased garbage bags
for $13. Carl cleaned the Kingston's Front and Backyard and Tim cleaned the
Murphy's Driveway.
Answer:
50 you welcome
Step-by-step explanation:
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