Answers
Answer:
Possible rational roots: ±1,±5.
Actual rational roots: −1,5.
Step-by-step explanation:
The trailing coefficient (coefficient of the constant term) is −5.
Find its factors (with plus and minus): ±1,±5. These are the possible values for p.
The leading coefficient (coefficient of the term with the highest degree) is 1.
Find its factors (with plus and minus): ±1. These are the possible values for q.
Find all possible values of pq: ±11,±51.
Simplify and remove duplicates (if any), these are possible rational roots: ±1,±5.
Next, check the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x−a should equal 0.
Check 1: divide x3−3x2−9x−5 by x−1.The quotient is x2−2x−11 and the remainder is −16
Check −1: divide x3−3x2−9x−5 by x+1.The quotient is x2−4x−5 and the remainder is 0
So, −1 is a root.
Check 5: divide x3−3x2−9x−5 by x−5.The quotient is x2+2x+1 and the remainder is 0
So, 5 is a root.
Check −5: divide x3−3x2−9x−5 by x+5.The quotient is x2−8x+31 and the remainder is −160
q= lead coefficient of highest term which is x^3 which has a leading coefficient of 1.
2. P=±1,±5, Q=±1. You would divide the factors of the constant by the factors of the leading coefficient.
3. Possible roots for this equation. ±1,±5.
4. Factor the equation.
x³-3x²−9x−5
x³+x²−4x²−4x-5x-5
x²(x+1)-4x(x+1)-5(x+1)
(x+1)(x²-4x-5)
(x+1)(x-5)(x+1)
5. Set all of the factors to zero and solve for x to get your rational roots to the equation.
x+1-1=0-1
x=-1
x+1-1=0-1
x=-1
x-5+5=0+5
x=5
6. Final Solution:
Possible Rational Roots: ±1, ±5
Rational Zeros: (5,-1 multiplicity of 2)
Answer Choice: D
Related Questions
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 yd, find its area.
Answers
4n - 3n3 - 3n3 + 4n
please help quick
Answers
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
what's the number of electron for Fe?
Answers
Answer:
The answer 26, given that it’s atomic number is 26, and the atomic number is equal to the number of protons, which is equal to the number of electrons. Assuming that it has a neutral charge, the answer would be 26.
Step-by-step explanation:
What evidence is there that a chemical reaction is taking place in the cold pack?
A)
change in odor
B)
change in color
0)
formation of gas
D)
temperature change
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James rides the train from Center City to Lakeside. The train ride
lasts for 18 minutes. The train arrives at the Lakeside station at
9:12 A.M. What time did the train ride start?
Answers
Answer: 8:54
Step-by-step explanation:
Answer:
8:54 A.M.
Step-by-step explanation:
When you subtract 12 minutes from 9:12 A.M., you get 9 am. Then you still have to subtract 6 more minutes from 9:00 A.M. and you get 8:54 A.M.
How many 1
8-pound patties can she make from 7
8 of a pound of
hamburger?
Answers
Help pleaseeee. I really need help.
Answers
Answer:
10
Step-by-step explanation:
Perform the said operations
Answer:
10
Step-by-step explanation:
16*2 = 32
32/8 = 4
4*15 = 60
60/6 = 10
10
Tanya typed 160 words in 5 minutes on her essay for Spanish class
Answers
Answer:
she typed 32 words in 1 minute
Step-by-step explanation:
10 + 6x = 15 + 9x – 3x
Answers
Answer:
No solution
Step-by-step explanation:
Step 1: Write equation
10 + 6x = 15 + 9x - 3x
Step 2: Solve for x
Combine like terms: 10 + 6x = 15 + 6xSubtract 6x on both sides: 10 ≠ 15Here, we see that x would equal no solutions. You can also think of it as parallel lines; they have the same slope but different y-intercepts, so they will never intersect.
In Crestview Middle School, 12 out of 16 students are right handed. If there are 400 students in the school, how many are right handed?
Answers
Answer:
the answer is 300
Step-by-step explanation
there are 16 people so we divide that by the total number of students
400 divided by 16 = 25
since there are 12 right handed in each group we multpily it by 12
25 x 12 = 300
and theres your answer!
How can you tell if there will be more than one solution for the geometric means?
Answers
Answer: because there are different methods to it and different solutions.
Step-by-step explanation:
PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!
Answers
Answer:
8000
Step-by-step explanation:
8000
10^6-2*7.2/9
72000/9 = 8000
PLS HELP TT
write a paragraph proof for the following conjecture
Given m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Answers
m∠1 + m∠2 = m ∠4 , under the exterior angle property of a triangle which says that sum of the interior opposite angles of an exterior angle will be equal to the measure of the exterior angle .
To prove that m∠3 + m ∠1 + m∠2 = 180° , let us use the angle sum property .
= Angle sum property = Sum of the three interior angles in a triangle will be equal to 180° .
= Since ∠1 , ∠2 and ∠3 are the interior angles of this triangle , their sum will be equal to 180° .
Hence proved that m∠1 + m∠2 + m∠3 = 180°
∴ m∠1 + m∠2 + m∠3 = 180° under the angle sum property of a triangle .
For a business meeting, Jenna is making copies of her presentation. The more people
who plan to attend, the more copies Jenna will have to make.
Which of the variables is independent and which is dependent?
Independent (Select]
<
Dependent [Select ]
Answers
Answer:
Independent: The people who attend.
Dependent: The copies she has to make.
Step-by-step explanation:
She will make a certain amount of copies depending of how many people attend.
What is the probability of flipping at least 2 heads? As a Fraction
Answers
Answer:
81/100
Step-by-step explanation:
flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.
Evaluate f(x) = X(With an exponent of 2) -3x +2, given f(x + 1).
Answers
Answer:
f(x + 1) = x² - x
Step-by-step explanation:
f(x) = x² - 3x + 2 when f(x + 1)
f(x + 1) = (x + 1)² - 3(x + 1) + 2
f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2
f(x + 1) = x² - x + 0
f(x + 1) = x² - x
Best of Luck!
J/k - 0.2k when j = 25 and k = 5
Answers
Answer:
4.8
Step-by-step explanation:
J/k - 0.2k when j = 25 and k = 5?
25/5 - 0.2 = ?
5 - 0.2 = 4.8
why we start from the division because in the mathematic rule say's
1. start the inner of the bracket
2. arrange the numbers and the variable
3. the exponents
4. multiplication and division
5. subtraction and addition
and if they ask for the variable we should start from the subtraction and addition
ILL GIVE BRAINLIEST TO WHOEVER ANSWERES FIRST
Enter the midpoint of the segment whose endpoints are (6,5) and (-4,16).
Answers
the midpoint is x1 and y10.5
Answer:
(1, 10.5)
Step-by-step explanation:
X- 6 + -4 = 2/2 = 1
Y- 5 + 16 = 21/2 = 10.5
You add the x coordinates together then divide by 2, then do the same with the y coordinates.
Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.
Answers
Answer:
39
Step-by-step explanation:
4:37 till 5:00 is 23 minutes.
+ 16 minutes
= 23 + 16
Answer:
39 minutes
Step-by-step explanation:
First, find how much time passed between 4:37 PM and 5 PM.
Since there are 60 minutes in an hour, subtract 37 from 60:
60 - 37
= 23
There are 16 minutes in between 5 PM and 5:16 PM.
So, add the 23 minutes to 16:
23 + 16
= 39
So, it took her 39 minutes
Maya and carlos was selling cookie dough for school fundraiser customers can buy packages of chocolate-chip cookie dough and packages of gingerbread cookie dough my sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $374 carlos o two packages of chocolate chip cookie dough and four packages of gingerbread cookie dough for a total of $113 final cost of one package of chocolate chip cookie dough and one package of gingerbread cookie dough
Answers
Answer:
Cost of chip cookies = $17.5
Cost of ginger cookies = $19.5
Step-by-step explanation:
Assume;
Cost of chip cookies = c
Cost of ginger cookies = g
So,
Maya's sales = 8c + 12g = 374 .....Eq1
Carlo's sales = 2c + 4g = 113 .......Eq2
4 x eq2
So
8c + 16g = 452......Eq3
Eq 3 - Eq 1
4g = 78
g = 19.5
and
c = 17.5
Cost of chip cookies = $17.5
Cost of ginger cookies = $19.5
Jonathan and Pedro are collecting clothes for a clothing drive. Pedro collected 1/2 as many
clothes as Jonathan did. If Jonathan collected 4 bags of clothes, how many bags of clothes
did Pedro collect?
Writo your answer as a fraction or as a whole or mixed number.
Answers
Answer:
2
Step-by-step explanation:
4/2=2
2. Write AND simplify an expression showing how many times farther
Neptune is from the Sun than Mercury. Write the result in scientific
notation.
(to write an exponent go to the second row and second item to access
math symbols-Sub and sup)
Answers
Answer: 0.8 x 10 to the power of 2 neptune is 8x further away than murcury
Step-by-step explanation: i had this problem i thought i would give you an answer that acully answers the question
If a polygon has exactly 4 sides, it is a quadrilateral. State the contrapositive of the conditional statement. A) If a polygon is a quadrilateral, it has exactly 4 sides. B) If a polygon is a quadrilateral, it does not have exactly 4 sides. C) If a polygon is not a quadrilateral, it does not have exactly 4 sides. D) If a polygon does not have exactly 4 sides, it is not a quadrilateral.
Answers
Answer: I think the answer is D
Step-by-step explanation:
Option - C is the correct option.
We have a statement - If a polygon has exactly 4 sides, it is a quadrilateral.
We have to write the contrapositive of this conditional statement.
What do you mean by Contrapositive of the Conditional statement ?A combination of the converse and the inverse is called Contrapositive of the Conditional statement. Contrapositive will replace if with then and vice - versa and after that both parts are negated.
According to the question, we have a statement -
If a polygon has exactly 4 sides, it is a quadrilateral.
Firstly, replace ' if ' with ' they ' and vice - versa. We get -
If a polygon is a quadrilateral, than it does have exactly four sides.
Now, negate it -
If a polygon is not a quadrilateral, it does not have exactly 4 sides.
Hence, Option C is correct.
To solve more questions on contrapositive of the conditional statement, visit the link below -
https://brainly.com/question/17870378
#SPJ6
3x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9
Answers
X = 6 - 2y - 3z
X = 9 - 4y - 2z / 2
abcdefghijklmnopqrstuvwxyz
Answers
Answer:
umm hey
Step-by-step explanation:
Answer:
munny
Step-by-step explanation:
The set of whole numbers is closed under addition. True or False?
Answers
Answer:
it's true
Step-by-step explanation:
the answer is true check the pic above for explanation
Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write an equation to model the problem. If Filo works for 6 hours, how much money will he take home that day? Show all work.
Answers
Answer:
8x-5
Step-by-step explanation:
8$ per hour and he works 6 hours gives you 48$. Since he buys lunch, take away 5 from 48 and youll get 43$. Filo will take 43$ home.
What it the solution to this equation?
2x+3=x-4
Answers
Answer:
x = -7
Step-by-step explanation:
Solve for x:
2 x + 3 = x - 4
Hint: | Move terms with x to the left-hand side.
Subtract x from both sides:
(2 x - x) + 3 = (x - x) - 4
Hint: | Combine like terms in 2 x - x.
2 x - x = x:
x + 3 = (x - x) - 4
Hint: | Look for the difference of two identical terms.
x - x = 0:
x + 3 = -4
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
x + (3 - 3) = -3 - 4
Hint: | Look for the difference of two identical terms.
3 - 3 = 0:
x = -3 - 4
Hint: | Evaluate -3 - 4.
-3 - 4 = -7:
Answer: x = -7
a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have
Answers
Answer:
$1 bills = x and $5 bills = y
x+y = 17 - that expresses the number of bills.
1x + 5y = 53.
Solve the first for x in terms of y and substitute that into the second.
x = 17 - y
17 - y + 5y =53
17 +4y = 53
4y = 36
y = 9
Substitute that back into the first equation: x + 9 = 17 and then x = 8
f(n) = -5n +4 ; find f(3)
what is the term given in this position?
