All the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12 are 3/4 and -4/5.
We have the given polynomial:
f(x) = 20x4 + x3 + 8x2 + x - 12
All potential polynomial roots are represented by rational numbers, according to the Rational Root Theorem:
x = a/b
Where a is a factor of a constant term
b is the factor of coefficient of leading term
From the given polynomial:
-12 is the constant term and 20 is the coefficient of leading term
The possible factors of -12 are ±1, ±2, ±3, ±4, ±6, ±12
The possible factors of 20 are ±1, ±2, ±4, ±5, ±10, ±20
So the rational roots = (±1, ±2, ±3, ±4, ±6, ±12)/ (±1, ±2, ±4, ±5, ±10, ±20)
Solve for x when the given function is equal to zero
20x4 + x3 + 8x2 + x - 12 = 0
(4x - 3)(5x + 4)(x2 + 1) = 0
So we get:
4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0
x = 3/4, x = -4/5, x =1, x = -1
Hence, the rational roots are x = 3/4, x = -4/5.
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We have the given polynomial:
f(x) = 20x4 + x3 + 8x2 + x - 12
x = a/b
b is the factor of coefficient of leading term
-12 is the constant term and 20 is the coefficient of leading term
The possible factors of 20 are ±1, ±2, ±4, ±5, ±10, ±20
So the rational roots = (±1, ±2, ±3, ±4, ±6, ±12)/ (±1, ±2, ±4, ±5, ±10, ±20)
Solve for x when the given function is equal to zero
20x4 + x3 + 8x2 + x - 12 = 0
(4x - 3)(5x + 4)(x2 + 1) = 0
4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0
x = 3/4, x = -4/5, x =1, x = -1
The measures of the exterior angles of a pentagon are x°, 3x° 5x°, 7x°, and 8x°. Solve for x.
Answer: x=15
Step-by-step explanation: x+ 3x+ 5x+ 7x+ 8x=360
24x=360
24/24 = 360/24
john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month
a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode
The perimeter of a regular 6 -sided figure is 30 units, and the length of each side is x + 1 units.
What is the value of x?
Answer:
x = 4
Step-by-step explanation:
since each side is equal to x + 1 and there are 6 sides, to get x alone, you have to subtract 1, six times from the perimeter.
1 × 6 = 6
30 - 6 = 24
then divide that by the number of sides (6)
24 ÷ 6 = 4
x = 4!
HELP PLEASE
find the end behavior:
f(x)=2(1/3)^x-2
Answer:
Not a polynomial
Step-by-step explanation:
The leading coefficient test requires a polynomial
Mary and Carlos are each saving for new skateboards. So far, Mary has $9 saved
and earns $6 per hour babysitting. Carlos has $3 saved and can earn $9 per hour
working at his family's restaurant. After how many hours of work will Mary and
Carlos have saved the same amount and how much money will they both have?
Answer:
After 3 hours, both will have saved $21.
Step-by-step explanation:
Jose went shopping for a new pair of pants. Sales tax where he lives is 8%.
The price of the pair of pants is $34. Find the total price including tax. Round
to the nearest cent.
Answer:
36.72
Step-by-step explanation:
if I'm wrong could you please tell me? good luck and if you have any other question you can ask me bye.
The total price including tax is $37.
Given that,
Sales tax where he lives is 8%. The price of the pair of pants is $34.
Based on the above information, the calculation is as follows:
[tex]= \$34 \times (1+ 0.08)[/tex]
= $36.72
= $37
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AYO HELP ME SHAWTY PLEASE THANKS IG OR SUM WHATEVER
Answer:
the answer is D undefined slope
Answer:
UNDEFINED SLOPE
Step-by-step explanation:
mark brainliest if u want
Given the following perfect square trinomial, fill in the missing term
4x2 + ___x + 49
Answer:
Below.
Step-by-step explanation:
Taking the square roots of the 2 given terms we write it as a binomial
(2x + 7(2x + 7)
This = 4x^2 + 14x + 14x + 49
= 4x^2 + 28x + 49
So the missing number is 28.
8.1.26
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
x2 + 1 - 2x
Write the polynomial in standard form.
Answer:
(x-1)(x-1)
Step-by-step explanation:
PLEASE HELP brainly will be given!
Answer:
SSS
Step-by-step explanation:
the corresponding sides of the triangles are proportional to each other
I need major help pls help
Answer:
No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in
Step-by-step explanation:
It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.
A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since
24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.
576 + 256 ≠ 900, since the left side is 832 and the right side is 900
It would be more correct if the width is 18 since 576 + 18^2 = 900
Find the area of the figure
Answer:
41 ft
Step-by-step explanation:
math
A circle with a radius equal to 12 feet.
Answer:
What do you mean a radius equal to 12 feet? What is your question?
Step-by-step explanation:
i just give a question
Which one of the following expression is binomial?
2x+3y+z
2x+3
2x
x+y+z
which one
what expressions are equivalent to 12x-42 (choose all that apply)
6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)
determine what number should be in the box so that each equation is true and each equation has at least one negative number
Answer:
Step-by-step explanation:
 classify the triangle below select all that apply terms that apply
Answer:
Right
Step-by-step explanation:
The lengths of nails produced in a factory are normally distributed with a mean of 4.77 centimeters and a standard deviation of 0.06 centimeters. Find the two lengths that separate the top 9% and the bottom 9%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
What is the volume of this composite solid?
Answer:
B
Step-by-step explanation:
I think
Juanita is a basketball player who makes
75
%
75%75, percent of all free-throws she attempts. We can assume that the results of her free-throw attempts are independent from each other.
Which of the following choices are binomial random variables?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Juanita shoots a series of free-throws until she makes
5
55 free-throws. Let
S
=
S=S, equals the number of shots it takes.
(Choice B)
B
Juanita shoots a series of free-throws until she makes a free-throw. Let
T
=
T=T, equals the number of shots it takes.
(Choice C)
C
Juanita shoots a series
5
55 free-throws. Let
M
=
M=M, equals the number of free-throws she makes.
Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.
Step-by-step explanation: Khan
What is this answer
Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text
Complete question :
Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text. The time spent picking blueberries
Answer:
44 minutes
Step-by-step explanation:
Given that :
Start time = 1:37 pm
End time = 2:21 pm
The time difference is obtained by subtracting the start time from the end time :
. End time - start time
2:21 pm - 1:37 pm
From 1:37 pm to 2 pm = 23 minutes
From 2 pm to 2:21 pm = 21 minutes
Total minutes = (23 + 21) minutes = 44 minutes
help plzzzzz! it's math and I'll give 30 points
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Hi there,
In order to solve this problem, you have to know the Pythagorean Theorem:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
We can see from the graph that line segment ML and LN are 6 and 3 units respectively. Since we know the lengths of two sides of the triangle, we can use the theorem above to find the hypotenuse (MN).
⇒ [tex]6^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]
⇒ 45 = [tex]c^{2}[/tex]
⇒ c = [tex]\sqrt{45}[/tex]
Hope this explanation helps. Cheers.
The Jackson's are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and a 5-year loan from two different lenders. complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
1
-
year term; $3,666.60
term 1 year total repayment : $35,953.20 Interest paid 953.20
term 5 year total repayment $39,619.80 Interest paid 4,619.80
Step-by-step explanation:
A squirrel burrowed 12 holes in 3 minutes. How many holes could the squirrel burrow in 12 minutes?
Answer:
48 holes
Step-by-step explanation:
We know that in 3 minutes, a squirrel managed to bury 12 holes. Now, what if there were 12 minutes?
To solve this, we need to see the increase in minutes and implement the same thing to the holes.
So how do we get 3 minutes to 12 minutes? By multiplying 3 by 4, now do the same for the amount of holes the squirrel burrowed in 3 minutes.
3min * 4 = 12min
12 holes * 4 = 48 holes
Stu invested $700 in a Cd. if the CD grows at a rate of %6 per year compounded annually, when will he double his money ?
Answer:16.66 repeating years
Step-by-step explanation: take 6% of 700 the divide 700 by that number to get how many years until he doubles his money then check by multpling 42 * 16.66 repeating
I need help with my homework pls gotta one hour to turn in
Answer:
12 brown
Step-by-step explanation:
Answer:
Blue: 3. Green: 25. Brown: 12
Step-by-step explanation:
Total: Child: 36
Teenager: 14
Adult: 40
Total: (On the bottom) 37, 25, 28
So 90 people in total!
Please answer with explanation
Answer:
y = 2x + 1
Step-by-step explanation:
Line is passing through the points (-3, - 5) and (4, 9)
Slope of the line (m) [tex] =\frac{-5-9}{-3-4}=\frac{-14}{-7}=2[/tex]
Equation of line in given as:
[tex]y - 9 = 2(x - 4) \\ \\ y - 9 = 2x - 8 \\ \\ y = 2x - 8 + 9 \\ \\ y = 2x + 1[/tex]
What is the average length of one of the seeds that the students measured
PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)
its b/13=5 and then to solve you multiply both sides by 13 to get b=65
so 65 bean bags