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
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Answers
1.d
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...............
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
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Answer:
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Step-by-step explanation:
y ∝ x^2
y = k/x^2
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2 = k/36
k = 36*2
= 72
Hence,
y = 72/x^2
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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.
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Answers
Answer:
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Step-by-step explanation:
not sure if this is what the question is asking for
Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
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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?
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Answers
Answer:
A
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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
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Answer:
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Step-by-step explanation:
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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
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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
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V I R T U E
- Equation Editor A set of curtains normally
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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:
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Apply the multiplication operation to get
⇒ 47.192
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brainly.com/question/24159063
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Answers
Step-by-step explanation:
those are the x values in the graph above
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Answers
Answer:
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The range is the set of all the values of y.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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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:
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Step-by-step explanation:
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-kiniwih426
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Answers
Step-by-step explanation:
ax² + bx + c ≡ 3x² - 5x + 6
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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.
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
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Answers
Answer:
? = 1
Step-by-step explanation: