Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.
Answers
The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
The equation is given as: [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex]
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500
This means that [tex]\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}[/tex] has at least two real roots
Read more about roots of an equation at:
https://brainly.com/question/12912962
Related Questions
Please help I’ll mark you brainliest
Answers
Answer:
The perimeter is 25.
Step-by-step explanation:
Darling, I'm not always accurate but I hope this helps you with math!
An appliance repair company charges $22 per hour to do repairs. In addition, the company charges a $35 flat-rate
fee per repair visit. Which equation represents the total cost, C, of a single repair visit that takes h hours?
A c (22 35)
B. C3522
C. C2335
Answers
Jack has a bag of coins. The bag
contains 8 dimes, 4 nickels, 3
pennies, and 1 quarter. He will
randomly select 2 coins from the bag
at one time without replacement
What is the probability that Jack will
select 2 dimes?
a. 15/23
b. 7/30
c. 5/9
d. 1/2
Answers
Answer:
i think 1 half sorry if i am wrong
Step-by-step explanation:
Please help me fast if possible :(
Answers
Answer:
B
Step-by-step explanation:
Hi there!
The first one is addition because if she got more, we are adding to it.
The last one seems to be a multiplication problem, "each friend"
I am so sorry if this is wrong, Hope you have a good day/night.
What is the area of the shaded region below?
7 m
30 m
7 m
21 m
Answers
Answer:
322.28
A
Step-by-step explanation:
Area of the rectangle
L = 30
W = 21
Area = 30 * 21
Area = 630
Area of the circles
Radius = 7 m
Area = pi r^2
Area = 3.14 * 7^2
Area = 153.86 m^2
Area of both circles = 307.72
Area of the Shaded Region
Area of shaded region = area of the rectangle - area of 2 circles.
Area of Shaded Region = 630 - 307.72
Area of Shaded Region = 322.28
What is the volume of this prism?
Answers
Answer:
The answer is 42ft ^3 (42 ft units cubed)
Step-by-step explanation:
To find the volume for a rectangular prism, first of all you need to know the formula. The formula is V=lwh (volume= length x width x height)
The formmula for this problem is V= 7ft x 2ft x 3ft= 42ft
the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?
Answers
What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.
Answers
Answer:
Area = 13.8 cm²
Step-by-step explanation:
Area of a triangle = ½*base*height
base = 4 cm
height = ?
Find height using trigonometry function:
Reference angle = 60°
Opp = height = BC
Adj = 4 cm
Apply TOA:
Tan 60 = Opp/Adj
Tan 60 = BC/4
BC = 4*Tan 60
BC = 6.92820324 ≈ 6.9 cm
✔️Area of triangle = ½*4*6.9
= 13.8 cm²
what is the measurement?
Answers
this question involves trig
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
we have p and h in this question so we can use the first formula
[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]
Answer:
55.2
Step-by-step explanation:
sinx= 23/28
multiple both sides by inverse sin
x= sin^-1(23/28)
x= 55.2
Part c Katie started with $40. How much money did she have left after purchasing the supplies? Enter your answer in the box provided.
Answers
Answer:
gotta give me more details here Katie
plz help no links or you will get reported and no brainlest meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
49
Step-by-step explanation: no idea i just evaluated like that
Answer:
49
Step-by-step explanation:
Alrighty, PEMDAS, lets get started:
9 + 3(10 ÷ 2) + 5²
So we start with the parenthesis:
10 ÷ 2 = 5
Now we do the exponent:
5² = 25
So we now have:
9 + 3 x 5 + 25
we do multiplication first:
3 x 5 = 15
so we have:
9 + 15 + 25 = 49
So 9 + 3(10 ÷ 2) + 5² = 49
hope this helps:)
Can someone please help me find the area.
Answers
Answer:
51 ft²
Step-by-step explanation:
The figure is composed of two different triangles (triangle 1 and 2) and a rectangle
Area of the composite figure = area of triangle 1 + area of triangle 2 + area of rectangle
✔️Area of triangle 1 = ½*bh
b = 3 ft
h = 2 ft
Area of triangle 1 = ½*3*2 = 3 ft²
✔️Area of triangle 2 = ½bh
b = 3 ft
h = 3 ft
Area of triangle 2 = ½*3*3 = 4.5 ft²
✔️Area of rectangle = L*W
L = 3 + 8 = 11 ft
W = 4 ft
Area of rectangle = 11*4 = 44 ft²
✅Area of the composite figure = 3 + 4 + 44
= 51 ft²
Which ratio is equivalent to 7:3?
A. 21: 7
B. 28 : 12
C. 12 : 8
D. 49:9
Answers
Answer:
The answer is B.
Step-by-step explanation:
7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)
Answer:
b.28/12
Step-by-step explanation:
Pls Help! Put a proper answer! And do not put a link or I will report you!
Two times the sum of a number, x, and 9 is at most four times the number. Write and solve an inequality to find the value of the number.
Answers
Answer:
2(x+9)≤4x
Step-by-step explanation:
2x+18≤4x
-18 -18
2x≤4x-18
-4x -4x
-2x≤18
/-2 /-2
x≥9
Find the product. Simplify.
(x + 7)(x + 4) =
Answers
Answer:
Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28
Step-by-step explanation:Answer:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
Kevin walked 5 miles in 3 hours. What was his walking rate in miles per hour?
But use the / as your answer like 5/8
Answers
9514 1404 393
Answer:
5/3 mi/h
Step-by-step explanation:
To find rate in miles per hour, divide miles by hours:
(5 mi)/(3 h) = 5/3 mi/h
Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.
Answers
5
Which of the following is the result of expanding 22"-2,
n=1
O 8.5
O 15.5
O 32
60
Answers
Answer:
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^5_{n=1} {2^{n-2}[/tex]
Required
The result
To do this, we simply substitute 1 to 5 for n.
So, we have:
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{1-2} + 2^{2-2} + 2^{3-2} + 2^{4-2} + 2^{5-2}[/tex]
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{-1} + 2^{0} + 2^{1} + 2^{2} + 2^{3}[/tex]
Evaluate each exponent
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 0.5 + 1 + 2 + 4 +8[/tex]
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]
Answer:
Answer is B edg2021
soknasoiegspeoigapoiegaoig
If sinθ = a, then cscθ =
1/a
a
1
Answers
Answer:
[tex]\csc\theta=\dfrac{1}{a}[/tex]
Step-by-step explanation:
Given that,
[tex]\sin\theta=a[/tex]
We need to find the value of [tex]\csc\theta[/tex].
We know that, the relation is given as follows :
[tex]\sin\theta=\dfrac{1}{\csc\theta}\\\\\csc\theta=\dfrac{1}{\sin \theta}[/tex]
Put [tex]\sin\theta=a[/tex]
So,
[tex]\csc\theta=\dfrac{1}{a}[/tex]
So, the answer is equal to [tex]\dfrac{1}{a}[/tex].
A circle has a radius of 5 centimeters. What is its area?
Answers
Answer:
[tex] \bf \huge 78.5 \: c.m.[/tex]
Step-by-step explanation:
Given that :A circle has a radius of 5 centimeters. to find :What is its area?formulas used :A = πr²where,
A = areaπ = 22/7 r = radiusexplanation :finding the area of circle
⟼ A = πr²
⟼ A = 22/7 × 5²
⟼ A = 22/7 × 5 × 5
⟼ A = 3•14 × 5 × 5
⟼ A = 3•14 × 25
⟼ A = 78•5
∴ the area of circle is 78•5 centimeters
Which equation shows how to find the
angle measure of the part of the circle
without the arrow?
Answers
Help ASAP????? Please
Answers
Answer:
C. (-5,-1)
E. (10,2)
F. (15,3)
------------------
hope it helps...
have a great day!!
A small town has 2,500 residents. In a random sample of 125 residents, 2 have the flu. Predict the number of residents of the town who have the flu.
A. 400
B. 20
C. 200
D. 40
Answers
Answer:
20
Step-by-step explanation:
40 is the number of residents of the town who have the flu.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A small town has 2,500 residents.
In a random sample of 125 residents, 2 have the flu.
i.e. in 2500 residents have flu = 2500*2/125
=5000/125
=40
Hence, 40 is the number of residents of the town who have the flu.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Which of the following is a true statement about ecology?
Ecology is the study of relationships of living organisms and their environment.
Ecology is the study how animals adapt to their environment.
Ecology studies how living organisms have changed over time.
Ecology studies the difference between living organisms.
Answers
Ecology is the study of relationships of living organisms and their environment
Step-by-step explanation:
Ecology in a simple sense is the the study of ecosystems
What are the first 100 digits of pi?
Answers
Answer:
3.1415926585979323846264338327952884197967987511582097414459230781546262862089910825342117067?
I did this from memory of a song I didn't use goo gle so all might not be right
Step-by-step explanation:
A chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt and pepper. You have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. What is the probability that the ingredients are added in the exact order listed above?
Answers
Answer:
1 out of 8 chance it will be listed exactly
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....
Answers
Answer:
D
Step-by-step explanation:
1/12 X 110 = .0833333333 x 110 = 9.16
D. 9
Step-by-step explanation:
110÷12 = 9.1 however just round down to 9
since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it
All real numbers greater than or equal to -7 and less than 2
Answers
Answer:
-7=<x<2
Step-by-step explanation:
Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.
= 37.50
What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.
Answers
Answer:
Answer is C $0.75
Step-by-step explanation:
50b = 37.50
divide both sides by 50
50 cancels out b is by itself.
37.50 divide by 50= 0.75
The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.
What does division mean?Division is a mathematical operation that involves the grouping of a number into equal parts using another number. The sign used to denote division is ÷.
The equation that represents the total amount raised: total balloons sold x cost of one balloon
b x 50 = 37.50
b = 37.50/ 5-
b = $0.75
To learn more about division, please check: https://brainly.com/question/13281206
there are between 24 and 40 students in a class. give the ratio of boys to girls
I will give you 50 points!!!!!!!
Answers
Answer:
1:1.66
Step-by-step explanation:
you can round it up to 1:1.7 if that's what your teacher says
Answer:
33 students
If you divided the class into groups with 4 boys and 7 girls in each group, there will be 11 students in each group.
The total number of students in the class therefore must be a multiple of 11.
The only multiple of 11 between 24 and 40 is 33.
There are therefore 33 students.
4/11×33=12 are boys and 7/11×33=21are girls.
12:21= 4:7
hope it helps you
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