The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
The value of p = 2.
How to find the value of p?Given:
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
Comparing x - 1 with x - a then
Substitute the value of x = 1, then we get
[tex]$1^3+p*1^2-1-2 = 0[/tex]
[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]
Apply rule [tex]$1^{a}=1$[/tex]
[tex]$&1^{3}=1,1^{2}=1 \\[/tex]
[tex]$&1+1 \cdot p-1-2=0[/tex]
Multiply: p-1 = p
1+p -1-2=0
Group like terms
p+1-1-2 = 0
Add/Subtract the numbers: 1-1-2 = -2
p-2 = 0
Add 2 to both sides
p-2+2 = 0+2
Simplify
p = 2
Therefore, the value of p = 2.
To learn more about polynomial function
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Help with this question pls & graph on MY graph pls
Answer:
I cant graph it on yours, but hope this helps
Step-by-step explanation:
The length of a rectangle is 16 meters and the width is 3 meters. Find the area.
Answer:
16x3= 48 so the answer is 48m^2
Find an equation of the line that goes through the points (-9,62) and (5,-22).
Answer:
y = -6 x + 8 (I think)
Step-by-step explanation:
Dulce the dog loves to go on walks. Each morning she walks for 45minutes.She also goes for a 20 minute walk at lunch, and an evening stroll for 1 hour and 30 minutes. How long does she walk each day?
Answer:
2 hour and 35 minutes
Step-by-step explanation:
45 +20 = hour and 5 minutes
65+90=155 or 2 hour and 35 minutes
Bradley's bike has an odometer, which shows how far he rides. Bradley rode 2.7 miles on
Monday, 2.4 miles on Tuesday, and 2.8 miles on Wednesday.
How many days did Bradley ride more than 2 miles?
Answer:
7.9
Step-by-step explanation:
I added 2.7 + 2.4 + 2.8, lmk if it's wrong.
Anyone know how to answer this question
Hey i need help with this
Answer:
The x-intercepts are 1 and 3
The y-intercept is 3
The vertex is (2,-1)
The line of symmetry is x=2
Step-by-step explanation:
To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)
21
х
15
X
(Round to the nearest tenth)
Answer:
that would be 6
x = 6
Step-by-step explanation:
explain how sandbars in the ocean are formed.
Answer:
Sandbars begin forming underwater. As waves break, this pulls material from the shoreline, migrating further into the ocean. During heavy storms, large waves can build sandbars far from shore, until they rise above the water's surface.
Step-by-step explanation:
Water brings sand and other sediment to the surface and creates a strip of land that lays between water.
plz crown
What’s 50 divided by 50?
Answer:
69 nah i'm kidding 4069 nah i'm kidding its 40 nah butt fr its 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
50 fits in 50 once
50 ÷ 50 = 1
50 × 1 = 50
Which equations are true for the values of x, y, and z? Select three options.
650
z
x
y
Ox+65º = 180°
OY= 65°
3x = 65°
Answer:
A) x + 65 = 180
B) x = z
C) y = 65
Step-by-step explanation:
1- “Dados provenientes de 2.783 homens e 5.018 mulheres maiores de 65 anos de idade da Pesquisa Nacional de Saúde dos Estados Unidos de 1990 determinaram a prevalência de atividade física regular, que naquele estudo foi definida como a participação em atividades físicas no tempo livre por três ou mais vezes por semana e por mais de 30 minutos nas últimas duas semanas. Com esses parâmetros os autores encontraram uma prevalência de atividade física regular de 37% no sexo masculino e 24% no sexo feminino.” Quantos idosos do sexo masculino e do sexo feminino praticam atividade física regular?
Answer:
no hable spanish
Step-by-step explanation:
Find the product. Simplify.
(a + 1)(a –5)=
Answer:
[tex](a + 1)(a - 5) \\ {a}^{2} - 5a + a- 5 \\ {a}^{2} - 4 a- 5[/tex]
What is 96% of 675 pls exxplain
Answer:
648
Step-by-step explanation:
96 percent *675 =
(96:100)*675 =
(96*675):100 =
64800:100 = 648
Answer:
27
Step-by-step explanation:
I can't explain sorry
There are 20 children at a library. Six of the children have a averahe age of 5 years. The remaining children have a sverage age of 8 years. What is the average age of the children at the library?
Answer: The average age of the children at the library is 7.1 years.
Step-by-step explanation:
Given,
Out of 20 children, six of the children have an average age of 5 years,
Thus, the sum of the ages of 6 students = 5 × 6 = 30
( Total sum of observations = Their Average × Total numbers of the observations )
Now, remaining students = 20 - 6 = 14,
Since, the remaining children have an average age of 8 years.
Thus, the sum of the ages of 14 students = 14 × 8 = 112,
Total sum of the ages of 20 students = 30 + 112 = 142
=142/20
= 7.1 years
Answer:
The average is 7.1 years!
Step-by-step explanation:
6 children = average of 5 years
14 children = average of 8 years
if the length of segment A'B' is 12 units, what is the scale factor of the dilation?
Answer:
if the length of segment A'B' is 12 units, what is the scale factor of the dilation?
Step-by-step explanation:
A) 45
B) 120
C)120
D) 60
An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.
Answer:
Step-by-step explanation:
150 mile by car x mph
630 mile by plane 3x mph
Total travel time equal 8 hours
150 / x mile / (mile / hour) = hour
630 / 3x mile / (mile / hour) = hour
150/x + 630/3x = 8 hours
450/3x + 630/3x = 8 hours
450 + 630 = 8(3x) = 24x
1080 = 24x
45 = x the rate of the car is 45 mph
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer: 1st unique 2nd nothing 3rd more than 1
Step-by-step explanation:
101
Figure ABCD is reflected across the x-axis.
What are the coordinates of A'B'C', and D',
Enter your answer by filling in the boxes.
9
7
5
A'D
2
1
4
B's
C'ad
D'
Answer:
私は人間の前に神の弓です
翻訳してください
Step-by-step explanation:
Alice earns M dollars for working 40 hours in a week.Which expression represents the amount of money alice earns each hour?
A.40M
B.40+M
C.40/M
D.M/40
Answer:
m/40
Step-by-step explanation:
PLEASE HELP- ITS URGENT-
Answer:
x = 20°
Step-by-step explanation:
here's your solution
=>. we know that, sum of two opposite interior angle is equal to one exterior
=> (3x)° + (3x -20)° = (7x - 40)°
=> 6x - 20° = 7x - 40
=> - x = - 20
=> x = 20
hope it helps
Answer:
20°
Step-by-step explanation:
C.20 is the correct answer.
The diameter of a circle is 10 cm find its circumference in terms on pi
Answer:
31.41593 cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving forC
C=πd=π·10≈31.41593cm
Ella is making a kite in the shape of a triangular prism, but with both ends open. Which net shows the faces that
would be used to calculate surface area shaded?
Answer: the answer is the second one :)
Step-by-step explanation:
The net is shown in the picture that can used to calculate surface area shaded.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We know that kite is quadrilateral, having:
Two pairs of congruent sides.It has one pair of opposite congruent angles.The diagonals of a kite are perpendicular.One diagonal is bisected.The top and bottom angles are bisected butKite does not have congruent diagonals.
As we have given that, Ella is making a kite in the shape of a triangular prism, but with both ends open.
Thus, the net is shown in the picture that can used to calculate surface area shaded.
Learn more about the quadrilateral here:
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What integer is the opposite of 32 degrees Celsius below zero?
Answer:
-32?
Step-by-step explanation:
Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
Answer:
The Spotted Cows delivery service has a greater rate of change.
Explanation
The Spotted Cows function is: y = 2.8x + 2
Dairy Farms function is: y = 2.1x + 10
I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.
Hope this helps!
What is the outlier for 437,456,513,650,893,954,1018,1038,1117, and 1465
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
What is area?
The space inside a circle.
The distance across a circle.
The distance around a circle.
Answer:
The space inside a circle
Step-by-step explanation:
A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim
Answer:
5 hours
Step-by-step explanation:
So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours