Answers
Problem 1
I'm assuming your teacher means "list all the possible rational roots".
If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.
Factors of 5: 1, 5Factors of 3: 1, 3If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:
1/1, 1/3, 5/1, 5/3
That list simplifies to
1, 1/3, 5, 5/3
That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well
-1, -1/3, -5, -5/3
Answer: 1, -1, 1/3, -1/3, 5, -5, 5/3, -5/3Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.
============================================================
Problem 2
We'll follow the same idea as the previous problem
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 4: 1, 2, 4
To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.
For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.
As the second table shows, we have a few repeats. The unique items here are:
1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4
We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.
Answer: 1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4-1,-2,-3,-4,-6,-9,-12,-18,-36,-1/2,-3/2,-9/2,-1/4,-3/4,-9/4============================================================
Problem 3
Factors of 15: 1, 3, 5, 15Factors of 5: 1, 5Divide the factors of 15 over the factors of 5 to get
1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5
That list reduces to
1, 1/5, 3, 3/5, 5, 1, 15, 3
we can then toss out the duplicates to get
1, 3, 5, 15, 1/5, 3/5
Don't forget to include the negative values as well
Answer: 1, 3, 5, 15, 1/5, 3/5-1, -3, -5, -15, -1/5, -3/5============================================================
Problem 4
The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.
Answer: 1, 3, 9, 1/2, 3/2, 9/2-1, -3, -9, -1/2, -3/2, -9/2============================================================
Problem 5
There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Don't forget the negative values as well
Answer:1, 2, 4, 5, 8, 10, 20, 40-1, -2, -4, -5, -8, -10, -20, -40
Related Questions
a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter
Answers
Answer:
21m
Step-by-step explanation:
First, divide 38.5 by 3.3.
Then, multiply that number by 1.77.
You will get 20.65...
Rounded, you will get 21 because .65 is bigger than half of one.
-kiniwih426
Patulong naman po need kona po ngayun to
Just zoom if you don't clearly see it
THANK YOU
Answers
1.d
2.d
hope it helps
...............
Solve the problem based on the picture
Answers
Step-by-step explanation:
those are the x values in the graph above
now the slope
first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)
then substitute the X values
the slope at first point=0.00214262528
the slope at secondpoint=0.29521512101
the slope at the third point=0.29521512101
guys pls help me!!!!!!
Answers
Answer:
56 degrees
Step-by-step explanation:
Answer:
X 56 Y 56
Step-by-step explanation:
because 180-124=56
Can someone pls help me?
Answers
Help me with this it is math
Answers
Answer:
i can my googl
hangouts is hello jazlyn 2279
Step-by-step explanation:
Mathematics *extra characters
Answers
Answer:
31/2
Step-by-step explanation:
yes
subtract the numbers w () then divide ur product.
Use the following graph to find the slope, y-intercept, and x-intercept. 2 (-6,0) (2,-2)
Answers
PLEASE HELP
What is the y-intercept for line c?
Enter your answer in the box.
Answers
Answer:
-5
Step-by-step explanation:
Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?
Answers
Answer:
hhehehehehheehehe
Step-by-step explanation:
hehehehehhee
if i had 475 cannolis ans a box can only carry 15 how many boxes will i need.
Answers
Answer:
you would need 32 boxes
Step-by-step explanation:
475/15 = 31.666
32 boxes
475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.
please help!! For geometry
Answers
Step-by-step explanation:
m<15 = 97°
that is the answer
?/15•3/5=1/25 what does ? equal.
Answers
Answer:
? = 1
Step-by-step explanation:
Help me with this pls!!!
Answers
please help I'm lost
Answers
Answer:
x=3
y=2
z=-3
Step-by-step explanation:
The table shows sets of ordered pads that form a relation
Does each set of ordered pairs represent a function?
Select Function or Not a Function for each set of ordered pairs
{(2,4),(3,1),(0,5),(-1,3)}
{(2,4),(4,1),(0,4), (3,0)}
{(-23),(4,1),(4,4),(3, 2)}
{(7-3),(3; -7), (2,4),(4, 2)}
Answers
Answer:
(5,2) (-2,5) this is how you solve an equation using simple graphd
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.
What is the slope of Car A’s graph? What does it mean
What is the slope of Car AB’s table? What does it mean?
Select the correct letter choice.
a. Car A is going 2 times faster than Car B
b. Car A is going 3 times faster than Car B
c. Car B is going 2 times faster than Car A
d. Car B is going 3 times faster than Car A
Answers
Answer:
A
Step-by-step explanation:
We can see that graph A has reached 8 and graph B has reached 4 so its 2 times faster then graph B! hope that helps.
Answer:
hey i am in k12 too can you help me
Step-by-step explanation:
What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10
Answers
Answer:
The domain is the set of all the values of x .
The range is the set of all the values of y.
Domain:
{0,4,5,10}
Range:
{4,9,2}
Step-by-step explanation:
your answer is is from an algebra solver called mathwey but an a instead of an e it solves everything i promise i use it all the time
determine the values of a,b and cfor the quadratic equation 3x2-5x+6=0
Answers
Step-by-step explanation:
ax² + bx + c ≡ 3x² - 5x + 6
∴ a = 3
b = -5
c = 6
find the value of :[5x+y+z][5x+y+z][5x+y+z]
Answers
Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5
Answers
Answer:
c because it came by its formula
you can see that -5/8 is negative
so the only one which is the opposite is b
5/8
it’s the same thing just in the inverse
Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Bentley drives xx miles, and let BB represent the amount Company B would charge if Bentley drives xx miles. Graph each function and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Company A is cheaper than Company B when x ___ _ ___
Answers
Answer:
after 41 miles A is cheaper than B
Step-by-step explanation:
not sure if this is what the question is asking for
y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2
Answers
Answer:
y = 2/9
Step-by-step explanation:
y=x²
y=kx²
2= k(6)²
2= 36k
k= 1/18
The connecting formula is
y= 1/18x²
when y=? , x=2
therefore,
y= 1/18x²
y= 1/18(2)²
y= 1/18(4)
y= 2/9
Answer:
y = 18 when x = 2
Step-by-step explanation:
y ∝ x^2
y = k/x^2
Substituting 'y=2' and 'x=6' to get the value of k:
2 = k/6^2
2 = k/36
k = 36*2
= 72
Hence,
y = 72/x^2
Substituting 'x=2' to get the y-value:
y = 72/2^2
= 72/4
= 18
Hence,
when x =2, y = 18
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Find the measures of the interior angles.
Answers
The three inside angles of a triangle when added together need to equal 180 degrees.
To find x subtract the other two angles from 180:
X = 180 - 65 - 40
X = 75
My slope is 15/3. How do I use the y=mx+b formula if the slope is a fraction?
I’m very new to this so I’m struggling quite a bit
Answers
you want simplify the slope first
15/3=5
and insert
y=5x+b
if its lets say 1/3
y=1/3x+b
Hope this helped
Can anyone help me solve this? Thank you. The question is provided on the attachment
Answers
Answer:
V I R T U E
Step-by-step explanation:
I) 3d = 3 × 3 = 9
E) 4d + a = 4(3) + 1 = 12 + 1 = 13
R) d² + 5 = (3)² + 5 = 9 + 5 = 14
V) bc + 3d = 1/2 × (-2) + 3(3) = -1 + 9 = 8
T) a - 3c = 1 - (3 × -2) = 1 - -6 = 7
U) √3c²d = √3 × (-2)² × 3 = √3 × 4 × 3 = √36 = 6
Correct order:
V I R T U E
How to write sin and cos and all?
Like should they be in first letter uppercase, or whole lowercase?
My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....
Answers
giải bài tập toán giúp tôi
Answers
Answer:
5x2 + 5x -1
Step-by-step explanation:
jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.
Answer:
the first answer is right
- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?
Answers
Answer:
89.99
Step-by-step explanation:
u add i48934yr84 r84
Roberta paid the amount of $47.19 for the curtains before the sales tax.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.
To determine the amount for the curtains before the sales tax
According to the given conditions, the solution would be as:
⇒ 58.99 × (1 - 20%)
⇒ 58.99 × (1 - 0.20)
Calculate the sum or difference and we get
⇒ 58.99 × 0.80
Apply the multiplication operation to get
⇒ 47.192
Round the number nearest to the hundredth,
⇒ 47.19
Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ5
What is the easiest way to solve 5-x=10 whilst showing working out