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
Need help please!!!!
Answers
Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .
To Find : The correct option between the given ones . To write the compound inequality with integers .
Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .
[tex]\red{\tt Case\:1}[/tex]
⇒ 19 ≥ t + 18 .
⇒ t + 18 ≤ 19 .
⇒ t ≤ 19 - 18 .
⇒ t ≤ 1 = 1 ≥ t . ..................(i)
[tex]\red{\tt Case\:2}[/tex]
⇒ t + 18 ≥ 11 .
⇒ t ≥ 11 - 18.
⇒ t ≥ -7 . ....................(ii)
On combing (i) & (ii) .
[tex]\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}[/tex]
This means that t is less than or equal to 1 but greater than or equal to (-7) .
Geometry
Please help me with my homework! Thank you!
Answers
Answer:
BC, FG, EH.
Step-by-step explanation:
The women's world record for the high jump is 2.09 meters. A puma can jump 2.2 times as high. What
is the height a puma can jump?
Answers
Answer:
4.598 meters
Step-by-step explanation:
........
over the summer, you read 20 books. Eight of these books were biographies
Answers
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20}*\frac{100}{1}\\ 8*5=40[/tex]
Explain why thirteen
hundredths are equivalent to one hundred
thirty thousandths. pls help i’m so dumb
Answers
Answer:
thirteen hundredths=13/100
one hundred thirty thousandths=130/1000
cancelling by 10 this is =13/100
hence the question
Step-by-step explanation:
13/100 is equivalent to 130/1000 because if you simplify 130/1000 it becomes 13/100.
You simplify 130/1000 by dividing both sides by 10. 130 divided by 10 is 13, and 1000 divided by 10 is 100.
Please Help will give Brainliest!!
Answers
Answer:
98 degrees .............
pls awnser tis question
Answers
Answer:
It's grade 4! :)
Step-by-step explanation:
What is the value of x?
O 78
0 84
o 96
O 102
Answers
Answer:
96°
Explanation
Given problem:
Find the value of x in the diagram;
Given that lines a and b are parallel lines and transversal c cuts through them;
the two given angles are said to be equal and alternate angles;
So;
99 = x + 3
x = 99 - 3 = 96°
The value of x is 96°
Prove angle FGH is congruent to angle HIF.
A.
1) Given
2) Given
3) Reflexive property of congruency
4) SAS
B.
1) Given
2) Reflexive property of congruency
3) Given
4) AAS
C.
1) Given
2) Reflexive property of congruency
3) Given
4) SSA
D.
There is not enough information to prove the triangles congruent.
Answers
Answer: someone please answer :(((
Step-by-step explanation:
Can someone help me pless I will mark brainliest of the brains
Answers
Answer:
6.83 repeated so ≈(about)7 miles in 41 minutes 10 miles in an hour
Step-by-step explanation:
if u need me to elaborate i can please give me brainliest
a = 11m, b = 8m and C = 2m for the triangle shown below.
Work out the value of x, giving your answer as an exact surd.
The diagram is not drawn accurately
Answers
Answer:
x = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Using Pythagoras' identity on the upper right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let the third side be d, then
d² + b² = a² , that is
d² + 8² = 11²
d² + 64 = 121 ( subtract 64 from both sides )
d² = 57
Using Pythagoras' identity on the lower right triangle, then
x² + c² = d²
x² + 2² = 57
x² + 4 = 57 ( subtract 4 from both sides )
x² = 53 ( take the square root of both sides )
x = [tex]\sqrt{53}[/tex]
A caterer charges $120 for 15 people to cater a party and $7 per person after that.
Assume that the cost, y, is a linear function of the number of x people. Write an
equation in slope-intercept form for this function.
Answers
Answer
120=7x+15
Step-by-step explanation:
Answer:
We are given table for the prices for two different catering companies.
Company Initial Payment Rate Per Employee
________________________________________
$135 $12
$0 $15
We know, slope-intercept form of a linear equation:
y= mx+ b.
Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).
Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.
y = 12x +135.
Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.
y = 15x + 0 or y = 15x.
Therefore, system of equations or Devoted Catering are
y = 12x +135.
y = 15x .
Step-by-step explanation:
Order from least to greatest: 6 squared, -5.25, 3/2 , 5
Answers
Answer:
-5.25, 3/2, 5, 36
The midpoint of AB is M(0, -3). If the coordinates of A are (2, 1), what are the
coordinates of B?
Answers
Answer:
(-2,-7)
Step-by-step explanation:
SIMPLIFY THIS EXPRESSION:
2(z + 3) + 3(5 - 3z)
Answers
-7z+21
Hope this helps
Please help guys and i will return the favor. ❤️
Answers
Answer:
(2,5), (2,2), (4,1)
Step-by-step explanation:
ok so the coordinates of the first triangle is
(-4,5), (-4,2), (-2,1)
6 units to the right
(2,5), (2,2), (4,1)
For which intervals is the function increasing? Select each correct answer.
Answers
Answer:
The answer is (2, ∞).
Step-by-step explanation:
The answer is (2, ∞) because both sides of the line will never meet and will forever increase on the [tex]y-axis^{}[/tex].
For (2, ∞) intervals is the function increasing in the graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A function is increasing on an interval if for every point on that interval the first derivative is positive.
So we need to find the first derivative and then plug in the endpoints of our interval.
For interval (2, ∞) the function is increasing because both sides of the line will never meet and will forever increase on the y axis.
Hence, for (2, ∞) intervals is the function increasing in the graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Dante uses 15 J of work to lift a weight for 3 seconds. How much power did he use?
PLZ HELP ME ASAP
AND SHOW YOU WORKING OUT : )
Answers
Answer:
You have to ethier add or subtract to get your answer
Use multiplication to write 2 + 2 + 2 +
2+2.
Answers
2+2+2+2+2= 10
2 x 5= 10
Answer:
5 × 2
Step-by-step explanation:
Multiplication is a simpler way of writing 'adding the same number multiple times'
Here you have added 5 2s together
So the answer is 5 times 2
Write 04 as a fraction in simplest form.
Answers
Answer:
2/5
Step-by-step explanation:
What is the value of m? help asap
Answers
Answer:
35
Step-by-step explanation:
It is a 90 degree angle and 90 minus 44 is 35
This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?
Answers
Answer:
They would have to be in the very center of the track
Step-by-step explanation:
Look up how wide each lane of a track is and then times that by 2.5
will mark the brainiest.
Answers
Answer:
11.95
i think
Step-by-step explanation:
Seven less than the product of a number and -4 is 41
Answers
the unknown number is -12, 41+7=48
48/-4=-12
The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 23/24
B. 1 1/4
C. 3 1/4
D. 3 11/24
Answers
Answer:
A. 23/24
Hope this helped
Step-by-step explanation:
Answer:
A. 23/24
Step-by-step explanation:
plato users
PLZZZ HELPPP MEEE ASAPPPP
Answers
Answer:
5 - 900
4.5 - 810
3 - 540
2.25 - 405
Step-by-step explanation:
5 x 180 = 900
4.5 x 180 = 810
3 x 180 =540
2.25 x 180 = 405
Help Asap! Use the triangle sum theorem to solve for x in the triangle.
Answers
x+53+90+46 = 180 because the sum of all the interior angles of a triangle are always 180 degrees
x+189 = 180 here this proves that in this problem, x is negative
subtract 189 from both sides
x = -9 and that's your answer! hope this helps!
POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.
Answers
Answer:
x (x + 4) = 45
x^2 + 4x - 45 = 0
factor
(x + 9)(x - 5) = 0
x = -9 or 5
your length cannot be negative so x= 5 and x+4 =9
Step-by-step explanation:
Hope this answer is Wright
Kevin is tiling his bathroom. The floor is 6-by-5 feet, minus a 2-by-2.5-feet vanity. The tiles he likes are 1-by-1 foot. If he plans to buy 10 percent extra for waste, how many tiles will he need?
Answers
Answer:
try quizlet it would help!! :)
Step-by-step explanation:
if it does help your welcome
hope you find it
and wish u luck
x- 0.1x + 2.70 = 56.70 solve for the answer
Answers
Answer:
x=60
Step-by-step explanation: