Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
Find all real square roots of -49
Answer:
step-by-step exolanation -7
Please help <3
Here is a set of signed numbers:
7, -3, 1/2 , -0.8, 0.8, -1/10, -2
1. Order the numbers from least to greatest.
2. If these numbers represent temperatures in degrees Celsius, which is the coldest?
3. If these numbers represent elevations in meters, which is the farthest away from sea level?
Answer:
1)-3,-2,-0.8,-1/10, 1/2, 0.8, 7
2)-3 is the coldest degrees in Celsius because it is the lowest number.
3)7 is the farthest from sea level because it is farthest away from zero.
Step-by-step explanation:
-3,-2,-0.8,-1/10, 1/2, 0.8, 7
Please help I am stuck. Yes or No?
1 13/15 in improper fraction
Answer:
28/15
Step-by-step explanation:
What is the distance between the points (13 , -19) and (-12 , -19) in the coordinate plane?
Answer:
distance = 25
Step-by-step explanation:
Trigonometry:
Find cos θ.
Answer:
a
Step-by-step explanation:
formula for cos theta is ration of adjacent side to hypotenuse side
so, 28 is adjacent side.
and 53 is hypotenuse side.
Thats why the ans is A
The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The value of cosθ can be written as,
Cosθ = Base / Hypotenuse
Cosθ = 28/53
Hence, the correct option is A.
Learn more about Trigonometric functions:
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x 1 у 3 4 6. 516
What is R
Answer:
the question is not correct. please rewrite the question.
What is 3 times four divided 69 plus 10
Answer:
I got the answer 234/23
i hope this helps
What is the percent decrease from 400,000 to 100,000?
Answer:
75% or -75
Step-by-step explanation:
The percentage decrease from 400,000 to 100,000 is a 75% decrease. Hope this helps... have a great day :))
Answer:
1/4 or 25% decrease
Step-by-step explanation:
x<5.001
is 5 the solution for X?
explain why please
Answer: 5 could be a solution to x because 5 is less than 5.001
Step-by-step explanation:
Answer:
i do not know
Step-by-step explanation:
1. What is 3/5+3/5+3/5+3/5 equal to?
Answer:
12/5 or 2 2/5
Step-by-step explanation:
3/5+3/5+3/5+3/5
=> (3+3+3+3) / 5
=> 12/5
=> 2 2/5
Hope it helps......
Answer:
2 and 2/5
Step-by-step explanation:
3/5+3/5=6/5
6/546/5=12/5 then change it into mixed number
Can somebody help me with rhis i need help real fast
Answer:the answer is 6/20 but when fraction reduced it equals 3/10 so 3/10 would be the final answer
Step-by-step explanation:
If the first term of a sequence is four and the common difference is -9. Find a40.
(Write your answer as a value without spaces ex. 678, -973, etc.)
Answer:
an = a1 + d(n - 1)
Step-by-step explanation:
an = 4 + -9(40 -1)
an = 4 + -9(39)
Halp,ignore the answer I chose lolz
Answer:
the answer will be b that should be the answer
5/32×7= multiplicación de fracciones, paso paso por favor rápido para hoy doy 5
Answer:
35/32
Step-by-step explanation:
Primero, es necesario hacer el 7 en una fracción
[tex]\frac{5}{32} * \frac{7}{1}[/tex]
Entonces puede multiplicarse a través
[tex]\frac{5(7)}{32(1)} \\\\\frac{35}{32}[/tex]
35/32 es la respuesta
¡También, lo siento si mi español es malo! Todavía estoy aprendiendo jaja
PLS HELP ANSWER THIS QUESTION ITS ALGEBRA 1
Considering the parent function f(x) = x², describe the transformations applied to graph the function f(x) = (x-3)^2-8
Answer:
The minus 3 in the square will shift the graph to the right 3 x-coordinates and the minus 8 in the outside will move the graph downwards by 8 y-coordinates.
Step-by-step explanation:
The minus 3 in the square will shift the graph to the right 3 x-coordinates and the minus 8 in the outside will move the graph downwards by 8 y-coordinates.
Za 30 dag żurawiny zapłacono 9,75zł. Oceń prawdziwość każdego zdania.
Step-by-step explanation:
Odpowiedź:
9.75zł :3 = 3.25zł
3.25zł x 4 = 13zł - Prawda
3.25zł x 10 = 32.50zł - Prawda
Liczę na najlepsze.
4. Bir çiftlikte, her biri gunde 8 L süt
veren 12 inek vardır. Çiftlik sahibi
sütlerin tümünü peynir yaparak haf-
tada bir pazarda satmaktadır. 6 L
sütten bir kilogram peynir elde edildidiğine göre
çiftçi her hafta pazara
kaç kilogram peynir götürmektedir?
Answer:
günde 8 L süt × inek sayısı 12×8 = 96.
6 L sütten bı kg peynir ediyo
L süt × inek ÷ peynir 96:6 = 16
.............I need help thnx
The answer is A
hope you found this usefull
1. Sammy lost 2 kg after a week of doing his routine exercise.
A 2
B. 2
C. 2
D 0.2
2. Roby drives 15 meters southward along Cebu City.
A. 15
B. 15
C. 15
D-0.15
3. Mrs. Santos deposits Php20 000 as a savings for her son's education.
A-20 000
B. 20 000
C.-020 000
D. 20 000
4. Rommel graduated from elementary12 years ago.
A 12
B. 12
C. *12
D. - 0.12
5. What do you mean by 25?
A. 25 steps backward B. loss of 25 points C. deposited Php25 D. 25° below
Answer:
1. A. 2
2. D. 0.15
3. I do not know
4. Nope i dont know
5. C
Step-by-step explanation:
Find m so that ( −5 )ᵐ⁺¹ x (−5 )³ = (−5 )⁶
m-2
( −5 )2⁺¹ x (−5 )³ = (−5 )⁶
( −5 )3 x (−5 )³ = (−5 )⁶
There is a rule in exponent when multiplying,if the base is same add the exponent so 3+3 equals to 6
so the answer is
( −5 )3x (−5 )³ = (−5 )⁶
help please it is attached thank you
ANOTHER ONE!!! WHOEVER SLOVES THIS IS A LIFESAVER <3
Find the measures of the numbered angles in each kite.
Answer:
1. 70
2. 54
3. 54
4. 40
Step-by-step explanation:
Please help me! I need this asap (I was supposed to do it yesterday :/ )
Its in the picture UwU
Answer:
Hewo!
Step-by-step explanation:
im not sure of the answer but i got the trick!
so for the length add 8 to the width and for the area multiply the width by 14
This should get you the correct answers :)
Hope i helped! :D
How long does it take a swimmer to cover 20 m in the pool if the swimmer’s speed is 2.5 m/s? helpppp asap i need it fast ill give bu points need it fast
Answer: 8 seconds
Step-by-step explanation:
d = rt
the distance is 20
the rate is 2.5
20 = 2.5t
t = 20/2.5
t = 8
The following set of ordered pairs represent a function:
{(8, 2), (-8, 4), (4, -10), (0, 9), (_)}
Which of the following could be the missing ordered pair?
0 (-8.-4)
0 (0.0)
2 -10
(80)
The number of touchdowns thrown by leading statewide high school quarterbacks during a 15-game season is shown in the histogram below. How many quarterbacks could have thrown 20 or more touchdowns?
Answer:
9 I just did it and got it right :)
The number of quarterback thrown touchdown 20 or more than 20 is 14.
What is a histogram?The frequency distribution of a few data points for one variable is shown graphically by a histogram. Data is frequently divided into different "bins" or "range groups" via histograms, and the number of data points in each bin is counted.
Given:
The number of touchdowns thrown by leading statewide high school quarterbacks during a 15-game season is shown in the attached histogram below.
From the histogram:
The number of quarterback thrown touchdown 20 or more than 20 is,
= 5 + 2 + 2 + 2 + 2 + 1
= 14.
Therefore, 14 number of quarterback thrown.
To learn more about the histogram;
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ASAP WHO EVER ANSWERS THIS WILL RECIEVE BRANLIEST
Answer:
[tex]c. \: 1200 \: residents \: surveyed.[/tex]
2. If you went 40.5 miles in 1.5 hours, what is your rate
of travel?
Answer:
it is 27
Step-by-step explanation:
You divide 40.5 by 1.5 and there's you answer!
Suhana's father is a farmer. He deposits Rs.1200 of the remaining amount in the bank at 9% p.a. for 3 yrs
Calculate the amount the farmer will receive at the end of 3 yrs
Answer:
Given :principle =Rs. 1200
rate of interest =9%
time =3yrs
we know that simple interest =PTR /100
=1200*9*3/100
=Rs. 324
Amount of the farmer will receive at the end of the 3 yrs =principle + interest
=1200+324=1524/-
