Answers
Is (x-2) is a factor of x³-3x²-x +7 –
Yes No ☑Explanation :-We are given –
Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x![tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]
Now Put x = 2 into the polynomial –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]
Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.________________________________________
Related Questions
Find a formula for the Nth term of sequence:
3,5,9,17
Answers
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
al dividir A entre 23 se obtuvo 247 de cociente y el residuo fue el maximo. hallar A a)5242 b)5436 c)5703 d)5332 solo esas 4 alternativas tienen que salirte y respondan con resolucion plss
Answers
Aplicando la división, hay que el valor de A es dado por:
c) 5703
Una división es representada por:
[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]
En que:
c es el cociente.r es el residuo.En este problema, [tex]b = 23[/tex], y también:
Cociente de 247, o sea, [tex]c = 247[/tex].Residuo maximo, que es 22, o sea, [tex]r = 22[/tex].[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]
[tex]\frac{A}{23} = 247 + \frac{22}{23}[/tex]
[tex]A = 23(247) + 22 = 5703[/tex]
El valor de A es dado por:
c) 5703
Un problema similar, que tambíen envuelve división, es dado en https://brainly.com/question/14270856
Can you help me with this question please!!
Answers
Answer:
Can you help me with this question please!! (D)
Bianca calculated the height of the equilateral triangle with side lengths of 10.
tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.
A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.
The apothem, rounded to the nearest tenth, is
units.
The perimeter of the equilateral triangle is
units.
Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.
The calculated areas are
.
Answers
Answer:
The apothem, rounded to the nearest tenth, is
2.9 units.
The perimeter of the equilateral triangle is
30 units.
Therefore, the area of the equilateral triangle is
1/2(2.9)(30), or approximately 43.5 units2.
The calculated areas are
the same, despite using different formulas.
Step-by-step explanation:
Edge
please helpppppppppp
Answers
Answer:
the ANSWER IS D
Step-by-step explanation:
because its multiplication
Which expression is equivalent to
Answers
Step-by-step explanation:
this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.
to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :
-9/-15 = 3/5
x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, by multiplying all 3 parts together again we get
3/(5x⁶y⁶).
I suspect this is the second answer option, but please make sure.
2-4(3+4k)=54
Distributing^^^^^^
Answers
Answer:
Ok that is good
Step-by-step explanation:
Answer:
k = 3.2
Step-by-step explanation:
2 - 4(3 + 4k) = 54
=> 2 - 12 + 20k = 54
=> -10 + 20k = 54
=> 20k = 64
=> k = 3.2
Hoped this helped.
Please help me!
ty ty :)
Answers
Answer:
The answer is steeper.
I'm not sure about the slope thingy. But the line looks Steeper instead of flatter
Help Me on this math equation
Answers
Answer:
uhhhh what grade level is dis?
Step-by-step explanation:
In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.
Answers
Answer:
YourMom Not Cool
Step-by-step explanation:
yourMom is not cool
STOP CHEATING AND TRYING TO SEE ANSWER
Answer:
5
Step-by-step explanation:
23. Island cruises booked a group of vacationers on a cruise that has a fixed cost of $39,600. Later, 100 more
people join the cruise, and the average cost decreases by $275 per person. How many persons were booked
originally?
Answers
See attached picture
Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?
63 + 36 = (3) (21) + (9) (4)
63 + 36 = (7) (9) + (12) (3)
63 + 36 = 9 (7 + 4)
63 + 36 = 3 (21 + 9)
Answers
Answer:
if im correct the answer is 63 + 36 = 9 (7 + 4)
Step-by-step explanation:
Answer:
The guy above was correct! I hope people see this so that they can trust the provided answer above.
Step-by-step explanation:
A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.
Answers
Linear functions are used to represented straight lines.
The linear function is [tex]y = -\frac 12x + 1[/tex]
The points on the graph are: (2,0) and (0,1)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{1 - 0}{ 0 -2}[/tex]
[tex]m = \frac{1 }{ -2}[/tex]
Rewrite as:
[tex]m = -\frac{1 }{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac 12(x -0) + 1[/tex]
[tex]y = -\frac 12(x) + 1[/tex]
Open bracket
[tex]y = -\frac 12x + 1[/tex]
Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18
Answers
Answer:
A
Step-by-step explanation:
To find how many times the distance, we divide the distance to the sun by the distance to the moon.
we get:
(9 * 10^7) / (2 * 10^5)
First, lets isolate and simplify the powers of 10.
(9 /2) * (10^7/10^5)
(9/2) * (10^2)=(9/2) * 100
Solve
9/2*100=4.5*100=450
Determine the type of triangle that is drawn below.
5.89
X
V
38°
90°
4.53
7.43
52°
W
Answers
Answer:
Right-triangle
Scalene
Step-by-step explanation:
[] This is a right triangle because it has an angle that is 90°
[] This is a scalene triangle because all of the sides are different lengths
-> We can also tell this is scalene because none of the angles are the same degree
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25
Answers
Answer:
3x+8+5x+12
8x+20=180
A. 80+20=100 No
B. 120+20=140 No
C. 160+20=180 Yes
D. 200+20=220 No
The Answer is C
Hope This Helps!!!
Answer:
x = 20
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8
5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is
5x + 12 + 3x + 8 = 180
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Please help again forgot everything
Again
Answers
Answer:
Option D
Step-by-step explanation:
a/3 = 8/6
a × 6 = 8 × 3
6a = 24
a = 24/6
a = 4
Hence,
Option A is correct
Answer:
4
Step-by-step explanation:
cross multiply
a x 6=3 × 8
or,a=24/6
There fore a=4
Hi. I'm kind of confused on this question. Pls help
Answers
Answer:
B is the awnser.
Step-by-step explanation:
cuz it is incorrect.
I’m in a rush and I need to find the answer quickly
Answers
Answer:
It would be
(1, -3) or D :]
The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7
Answers
Answer:
≥7
Step-by-step explanation:
6x7=42
Hope that helps
Answer:
x≥7
Step-by-step explanation:
Find y
Find m
Find m
Answers
Answer:
y= -21; m∠MNO=40°.
Step-by-step explanation:
1) m∠MON+m∠MNO=90°;
2) -3y-13°-2y-2°=90°;
5y=-105°; ⇒ y= -21;
3) m∠MNO=-2y-2°=42°-2°=40°.
What is the solution to this system of linear equations?
2x + 5y = 34
X+ 5y = 32
A. (2,6)
B. (2,22)
C. (6,2)
O D. (22, 2)
Answers
A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Solving the second equation for x,
x + 5y = 32
x = 32 - 5y
Now, substitue the value of x in the first equation,
2(32 - 5y) + 5y = 34
64 - 10y + 5y = 34
-5y = -30
y = 6
Substitue the value of y in any one of the equation,
x + 5y = 32
x + 5(6) = 32
x = 2
Hence, the solution of the system of linear equations is (2,6).
Learn more about Linear Equations:
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The numbers 5 and -5 are opposites.explain why 5 and -5 have the same absolute value
Answers
Answer:
I think because the absolute value is always a positive number.
Step-by-step explanation:
PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS
5(2.2y+1)-3
11y+5-y
11y+2
Answers
Answer:
Step-by-step explanation:
Remove the brackets
5*2.2y + 5 - 3
11y + 5 - 3
11y + 2
The answer is the last one.
[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]
Solve in between the brackets
[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]
[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]
[tex]\\ \rm\rightarrowtail 20y+2[/tex]
[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]
Solve for h. (h − 8)(h + 2) = 0
Answers
Answer:
donwload the gautmaht this is very powerful calculator to math problems
Step-by-step explanation:
make this is helpful too you
Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.
Answers
Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:
270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X
Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Learn more about maths in https://brainly.com/question/25901815
Write the following statements in the form of equations.
If you subtract 6 from 3 times a number, you get 18.
Answers
Let the Number be x
The required Equation Will Be:
3x-6=18
3x=18+6
3x=24
x=8
Each mobile bags sold by Ravi’s marble company contains 4 purple marbles for every 7 orange marbles if the bag is 56 orange marbles how many purple marbles does it contain
Answers
Answer:
56/7 is 8 so 8x4 is 32 is is easy
The number of purple marbles that the bag contains out of total marbles in the bag is 32.
To find the number of purple marbles in the bag, we can use the given information that each bag contains 4 purple marbles for every 7 orange marbles.
Let's calculate the number of purple marbles in the bag:
1. Given: The bag contains 56 orange marbles.
2. Since the ratio of purple marbles to orange marbles is 4:7, we can set up a proportion:
Purple marbles / Orange marbles = 4 / 7
3. Substitute the given number of orange marbles (56) into the proportion:
Purple marbles / 56 = 4 / 7
4. Now, solve for the number of purple marbles (Purple marbles):
Purple marbles = (4 / 7) * 56
Purple marbles = (4 * 56) / 7
Purple marbles = 224 / 7
Purple marbles = 32
So, the bag contains 32 purple marbles.
Learn more about ratio here
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Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?
A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.
Answers
The experiment is not a binomial experiment because the number of trials is not fixed.
What is a binomial experiment?
A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.
The conditions for a binomial experiment include:
Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.To learn more about binomial experiments, please check: brainly.com/question/17139967
PLEASE HELP ME!! THANKS :)
Answers
1. y=7
2. y=17
3. y=21
4. y=24
Btw these are cordinates as (x,y) where the x corresponds to the correct y
Answer:
1. y=7
2. y=17
3. y=21
4. y=24
Step-by-step explanation:
I hope you're able to complete the problem, have a great day/night! <3