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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Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.
I would actually need you to translate this into english I I would be able to answer for you :)
Anybody? need help asap
Answer:
x = -1
Step-by-step explanation:
5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms
3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides
x = -1
Alex is making string bracelets for his friends he has 5 meters of string to make each bracelet. How many bracelets can Alex make?
Answer:
5
Step-by-step explanation:
Answer:
5 bracelets
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!!!Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.
Answer:
18 cm
Step-by-step explanation:
You can find the length of the diagonal by using the Pythagorean theorem.
a^2 + b^2 = c^2
12^2 + b^2 = c^2
144 + 169 = c^2
c^2 = 313
c = √313
c = 17.6918...
Answer: 18 cm
2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find
a) values of r and a
b) the first five terms
Answer:
a values of r and a that the answer
What is the distance between the points (−7, −3) and (−7, −9) ?
A 12 units
B 10 units
C 6 units
D 4 units
Answer:
C. 6 unitsStep-by-step explanation:
Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:
d = -3 - (-9) = -3 + 9 = 6Correct choice is C
Distance
[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36}[/tex]
[tex]\\ \sf\longmapsto 6[/tex]
Help is appreciated! :)
(Question is in image below)
Answer:
92 more miles (D)
Step-by-step explanation:
I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.
Hope this helped!! :D
I will mark brainlist please help!!
- dilation (lesson)
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
How do you solve f(x)=7
Answer:
7
Step-by-step explanation:
f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.
4x - 5 =-11 + 3x
Pls help I need the answer fast
Answer:
x = -6
Step-by-step explanation:
You want to get x to only one side:
4x - 5 = -11 + 3x
-3x -3x
x - 5 = -11
Now move 5 to the right side:
x - 5 = -11
+5 +5
x = -6
What is 786 rounded to the nearest ten?explain your thinking
Answer:
786 rounded to the nearest ten is 770.
Step-by-step explanation:
To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.
6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21
Step-by-step explanation:
[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]
Answer:
x= -5
Step-by-step explanation:
5y-z= -31, add z and 31 to both sides
5y+31 = z, substitute z in the other two given equations
2x - 2y+z=3
2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides
2x+3y = -28
x+ 3y + 2z = -21
x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis
x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides
x+13y = -83
Now we have 2 equations with 2 variables x and y to solve
2x+3y = -28
x+13y = -83
Because we need to find x then from the first equation we can write that
3y = -2x-28, subtract 2x from both sides and the divide both sides by 3
y = (-2x-28)/3, substitute this in the second equation
x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis
(3x/3)+[(-26x - 364) /3= -83, find the common denominator
3x+[(-26x - 364) = -83*3 , cross multiply
3x -26x = -249 +364, add 364 to both sides
- 23x = 115, divide both sides by (-23)
x= -5
Just #19. I don’t know how to solve. Please help me solve. I need steps with the numbers. I will give brainliest.
Answer:
In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4
Step-by-step explanation:
If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.
Write the equation of a line that
goes through the points (3,7) and
(-3,5).
Answer:
[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]
3p=19 helppppppppppppp
Answer:
p= 6.33333333333
Step-by-step explanation:
U divide 19/3 to get the value of p
Hope this helps :)
Can u plz mark me as brainliest plz? :)
IM MARKING BRAINLEST IF U HELP PLEASE!!!
Angle A = 133 degrees
47 degrees and angle A are supplementary angles/a linear pair, which means that they add up to 180.
180 - 47 = 133
Angle B = 15 degrees
The sum of the interior angles in a triangle is 180.
a + 32 + b = 180
133 + 32 + b = 180
b = 15
Angle D = 58 degrees
32 degrees and angle D are complementary angles, which means that they add up to 90.
90 - 32 = 58
Angle C = 75 degrees
The sum of the interior angles in a triangle is 180.
c + d + 47 = 180
c + 58 + 47 = 180
c = 75
Hope this helps!! :)
Help please 6th grade math
Answer:
You would just plot it on the 1
the absolute value of positive 1=1
Evaluate the function for
f(x) = x + 3 and g(x) = x2 − 2.
(f − g)(8t)=
Answer:
f(0)=0
Step-by-step explanation:
Help me
Help me
Help me
Answer:
For the first one is 75 and 30 looks on a calculator add 75+75+30=180
Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?
Answer:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Step-by-step explanation:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y= 12
x + y = 12(1)
9x +5,25y = 6.5(x+y)
9x+5.25y=6.5*12
9x+5.25y=78(2)
solving (1) and (2)
x=4 y=8
please help me out
find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)
Answer:
(-19,15)
Step-by-step explanation:
PLEASE HELP THIS DUE AT 12:00 PM
Answer:
a.
Scale Factor = 2
Reason:
Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.
I held their horizontal sides and compared them.
in case of A, the side is 2.5 and in case of B it's 5.
so, 5 divided by 2.5 gets you 2, that is the scale factor.
b.3, 5 (from left to right)
Solution:
[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]
this also means
[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]
Scale factor = 2Using this we'll get the answer to the question marks
The corresponding side to 1.5 is the vertical one in B.=> corresponding side in B = 2 × 1.5
= 3
(this is the first question mark in order from left to right)
The corresponding side to 2.5 is:= 2 × 2.5
= 5
c.53° and 37° (from top to bottom)
Solution:
Scaled shapes have the same angle measures.
Reason:
When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.
What is the solution to the following inequality?
|3x -8|< 2
Answers below
Answer:
Step-by-step explanation:
B
what number is the opposite of - 5/12
Answer:
5/12
Step-by-step explanation:
opposite is on the other side of the number line. 5/12 is the answer
The sum of 2 and w is less than 21
2+w<21
-2 -2
w<19
w is 18 and under.
A coin is flipped 80
times. It lands tails 47
times. What is the Probability
1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.
use benchmarks
3\5 + 3\17
I really need this last question please anyone's help is very appreciated
Answer:
y = (5/2)x + 13/2
y = 3
y = -2x + 6
Step-by-step explanation:
The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.
Since we have two points, we can find the equation.
You can use the slope formula given two points, but I will read it off the graph with rise and run.
Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).
slope = rise/run = 5/2
y = mx + b
y = (5/2)x + b
Use point (-1, 4) for x and y and solve for b.
4 = (5/2)(-1) + b
8/2 + 5/2 = b
b = 13/2
y = (5/2)x + 13/2
This is the first answer.
The middle part is a horizontal line in which every point has y-coordinate 3.
The equation is:
y = 3
This is the second answer.
The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).
Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).
slope = rise/run = 2/(-1) = -2
Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.
b = 6
y = mx + b
y = -2x + 6
This is the third answer.
A package of 4 pairs of insulated costs $24.76. What is the unit price of the pairs of ?
Graph the point (5,6)
Answer:
(x,y)
Step-by-step explanation:
On point 0 you would go right 5 times and up 6