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
Translate the sentence into an equation or formula.
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P = a + b + c
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I don't see the question. it cannot be solved
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Step-by-step explanation:
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Starting at (0,0) if you were to go 8 units down and 10 units left what coordinates
would you end up at? What quadrant would you be in?
Answers
Answer:
(-10, -8), third quadrant
Step-by-step explanation:
8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.
Hope this helps!
lim x tends to a {x^7-a^7/x^3-a^3]
Answers
Answer:
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Solve this equation: -7.2 + 12 - 2.c
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Step 3: Isolate the variable term on one side of the equation by both sides of the equation
Answers
Answer:
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Step-by-step explanation:
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answers
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answers
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%
Answers
Answer:
$0.035
Step-by-step explanation:
HELP PLZ IT DUE TMR
Answers
Answer: (2,1) (0,-3)
(-5,2) (0,-1) (5,-4)
(0,-4) (2,-2)
(-1,0)
(-3,1) (-2,-4)
(0,3)
Step-by-step explanation:
how do you solve n - 8 > 5
Answers
Answer:
n great than 13.
hope this isn't wrong
The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.
Given is an inequality n - 8 > 5, we need to solve it,
To solve the inequality "n - 8 > 5," you can follow these steps:
Step 1: Add 8 to both sides of the inequality to isolate the variable n.
(n - 8) + 8 > 5 + 8
n - 8 + 8 > 13
n > 13
Step 2: Simplify the inequality.
n > 13
Hence the simplified inequality is n > 13.
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HELP ME PLEASE!
State the domain and range of the relation. (2 points) Then, determine if the relation is a function and state the reason why or why not. (2 points)
y= 2x - 3
Answers
Range is (-♾, ♾)
factorizar de ambas formas a cada número.
(por favor, ayudaa llevó más de dos horas con esto ....)
25
48
52
33
46
Answers
48 = 6 x 8 = 2 x 3 x 2 x 2 x 2
52 = 4 x 13 = 2 x 2 x 13
33 = 3 x 11
46 = 2 x 23
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
Answers
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
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Select ratios that are equivalent to the following: *
18:54
Answers
Answer:
Equivalent ratios follow:
9:27
3:9
1:3
5:15
2:6
ILL GIVE BRAINILEST TO WHEVER ANSWERS
Answers
First you distribute.
16x-16+x+4=-46
Then combine like terms.
17x-12=-46
-12 -12
17x= -58
The final answer is -58/17 or -3.412
Solve for the value of z.
Answers
z=18
3z+4+2z-4+90=180
5z+4-4+90=180
5z+90=180
5z=90
z=18
PLEASSEEE HELP THIS DUES ON MONDAY AND I CAN'T FIGURE IT OUT PLS HELP PLSSSSSSSSS
Answers
Answer:
carltzy Poland in ngayon
The sum of 8th term of an A.P is 160 while to sum of the 20th term is 880. Find the 43rd term
Answers
the 8th term is a+7d
the 20th term is a+19d
The sum of the first 8 terms is
(a)+(a+d)+(a+2d)+...+(a+7d) = 8a+28d
The sum of the first 20 terms is
(a)+(a+d)+(a+2d)+...+(a+19d) = 20a+190d
So
8a + 28d = 160
20a+ 190d = 880
40a + 140d = 800
40a + 380d = 1760
240d = 960
d = 4
8a + 112 = 160
8a=48
a =
6
The first term is 6 and the common difference is 4.
The 43rd term is a+42d = 6+42(4) = 6+168 = 174
The sum of the first 12 terms is
(a)+(a+d)+(a+2d)+...+(a+11d) = 12a+66d = 12(6)+66(4) = 72+264 = 336
The value of the 43rd term of the arithmetic sequence will be 482.
What is the sum of an arithmetic sequence?Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
Sₙ = (n / 2)[a + L]
Sₙ = (n/2) [2a + (n − 1) d]
An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.
160 = (8/2)(2a + 7d)
2a + 7d = 40 ...1
880 = (20/2)(2a + 19d)
2a + 19d = 88 ...2
From equations 1 and 2,
40 - 7d + 19d = 88
12d = 48
d = 4
Then the value of 'a' is given as,
2a + 7(12) = 40
2a = 40 - 84
2a = -44
a = -22
The value of the 43rd term is given as,
aₙ = a + (n - 1)d
a₄₃ = - 22 + (43 - 1)(12)
a₄₃ = - 22 + 42 x 12
a₄₃ = - 22 + 504
a₄₃ = 482
More about the sum of arithmetic sequence link is given below.
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May I please receive help?
Answers
Answer:
Parallel: y=2x+3
Perpendicular= 1/2x+6
A ship starts at sea level and then descends 20 feet in 4 1/2 minutes. How many feet did it descend per minute?
How many feet would it descend in 8 minutes?
Answers
Answer:
1. 4 1/2 can be converted into 4.30 / 20 = 0.125f per minute
2. it would descend 4.64 or 5f rounded in 8 minutes (8/0.125)
Answer:
4.45 feet p/m
35.56 feet per 8 minutes
Step-by-step explanation:
20 / (60x4.5) = 60 seconds = ( 1 x 4.5 minutes)
20/270=0.0740740741 1 = multiplier of feet/seconds
60 x 0.0740740741 1 =4.44444445 feet in one minute = 4.45feet
60 x 8 = 480 seconds (1 x 8 minutes)
480 x 0.0740740741 1 =35.5555556 feet
= 35.56feet in 8 minutes
Graph the linear equation.
3x - 2y = 6
Answers
Answer:
2x -2y -6 =0. ........
−1.2x+2.5=0.8x+6.5
Solve for x
Answers
Answer:
x = -2
Step-by-step explanation:
It's a matter of rearranging the equation to make x the subject. Simple arithmetic.
Original equation:
-1.2x + 2.5 = 0.8x + 6.5
Start moving constants with variables to left, and constants without variables to right:
-1.2x - 0.8x + 2.5 = 6.5
-1.2x - 0.8x = 6.5 - 2.5
Collect like terms
-2x = 6.5 - 2.5
-2x = 4
Divide both sides by -2 to make x the subject
x = 4/-2
x = -2
Answer: x = - 2.0
Step-by-step explanation:
We can find x by making it the subject of the equation and simplifying:
−1.2x+2.5=0.8x+6.5 [group like terms across the equal sign]
-1.2x - 0.8x = 6.5 - 2.5 [simplify]
- 2.0x = 4 [divide both sides by -2.0]
x = -2.0
Check:
−1.2(-2.0)+2.5 = 0.8(-2.0)+6.5
4.9 = 4.9 ✅
1 4/5 x 7 1/5 help mee
Answers
Answer: 355/70? correct me if im wrong :-)
Step-by-step explanation:
find the equation of a line given two points (1, 2) and (4, 3).
Answers
Answer:
[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]
6.478×18.21 Multiply the equation
Answers
Answer:
117.96438
Step-by-step explanation:
6.478 x 18.21 = 117.96438
Answer: I believe it is 117.96
Step-by-step explanation:
6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96
Please Help!!!!!!!!!!!!!!
Answers
The streetlight is 3x taller. The larger triangle's base is 30ft. 30 divided by 10 is 3. So the streetlight's height is 3 times 6 which is 18. Which also means the streetlight is 3x taller than the person.
A local school is conducting a fundraiser. The relationship between the number of raffle tickets sold, X, and the total amount of money raised in dollars, Y, is shown in this table.
X Y
5 $25
15 $75
25 $125
100 ?
How much money is raised when 100 tickets are sold?
$175
$175
$225
$225
$400
$400
$500
Answers
Hope this helped :)
Explanation 5 x 100
write the equation
it is parallel to the graph of y=-2x-10 and passes through (-1,2)
Answers
Step-by-step explanation:
y= -2x
that is the answer