f(x)=x^3+2x^2-6x+9
when f(x) is divided by x+a, the remainder is R, when divided by x-a, the reminder is 2R
a) show that 3a^3-2a^2-18a-9=0
b) solve the expression completely
Answers
Answer:
Step-by-step explanation:
Related Questions
a moving company charges $0.40 per pound. a family estimates that their belongings weight 3 tons. about how much would it cost the family to move their belongings?
Answers
Answer:
$2,400
Step-by-step explanation:
3 tons equals 6000 pounds
6000*0.40= $2,400
Solve the question using Triangle Similarity Theorem.
Answers
3x=30
x=10
Step by step how do you solve ratios and proportions?
Answers
Answer:
A proportion is an equality of two ratios.
...
Things to remember
Determine whether the ratio is part to part or part to whole.
Calculate the parts and the whole if needed.
Plug values into the ratio.
Simplify the ratio if needed. Integer-to-integer ratios are preferred.
if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1
can u plz telll the ans
Answers
Answer:
[tex]\displaystyle x^{-1}=\frac{1}{25}[/tex]
Step-by-step explanation:
The value of x is given:
[tex]\displaystyle x= \frac{(4/5)^{-2}}{(1/4)^2}[/tex]
We need to find:
[tex]\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}[/tex]
Operating:
[tex]\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}[/tex]
Squaring:
[tex]\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}[/tex]
Multiplying:
[tex]\mathbf{\displaystyle x^{-1}=\frac{1}{25}}[/tex]
What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4
Answers
Answer:
I think 3 not sure don't angry if wrong
Find the slope (if defined) of the line that passes through the given points. (-1, 6) and (5, 5)
Answers
The solution for your question is-1/6
Answer:
- 1/6
Step-by-step explanation:
Use the following equation to calculate slope between two points:
( Y2 - Y1 ) / ( X2 - X1 )
What's Y2? Y1? X2? X1?
( -1, 6 )
-1 = X1
6 = Y1
( 5, 5 )
5 = X2
5 = Y2
So when we plug in those numbers:
5 - 6 = - 1
5 - (-1) = 6
- 1/6
Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3
Answers
The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
[tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]
We have to calculate function value when [tex]x=3[/tex].
[tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]
Thus, the function value of given function at x = 3 is 63.
Learn more about the function value here:
https://brainly.com/question/875118
What is the perimeter of the triangle formed by (-3,1),(-3,5), and (4,1)
Answers
Answer:
15
Step-by-step explanation:
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
2 more because im going broke lol
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answer the question and ill mark you brainliest!
Answers
he is yes
also i have a question, could you do me a favor?
can you answer this question just say anything bc this persoon wants to give me brainliest pls help us out https://brainly.com/question/26025079
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get
Answers
9514 1404 393
Answer:
8 years: Rs. 649 years: Rs. 7210 years: Rs. 80Step-by-step explanation:
The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...
216/27 = 8 . . . Rs
Then age 8 gets 8(Rs. 8) = Rs. 64
age 9 gets 9(Rs. 8) = Rs. 72
age 10 gets 10(Rs. 8) = Rs. 80
George borrowed $25,000 for a new car. If George pays simple interest at a rate of
4/12% for 4 years, how much interest will he pay?
Answers
Answer:
To answer your question use the code ICE on here to get your answer works every time for me hope this helps
Answer:
$93,585.53
Step-by-step explanation:
If he is paying interest continually, you would use the formula Pe^rt
25000e^.33(4)= 3,585.53
If he used any other type of interest (monthly=12, quarterly=6, semi-annually=2, or annually=1) then you would use the formula p(1+r/n)^nt
25000(1+.33/n)^n(4)
n= put the number for how much you pay interest
Shawn has two investments which both are compounded annually. Investment x earns 5% interest, and investment y earns 7% interest. Each year Shawn has to pay an 18% tax on the net gain of her investments to the IRS. Which equation can Shawn use to determine the amount of money, t, she will need to pay the IRS?
Answers
Answer:
0.18(0.05x + 0.07y) = t
explanation:
Trust me
Ahmed works in a factory his normal rate of pay is £12.00 per hour When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answers
Answer:
Answer is in photo
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answers
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answers
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
Answers
Answer:
±12.323
Step-by-step explanation:
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
The formula for margin of Error =
±z × Standard deviation/√n
We are not given the confidence interval but let us assume the confidence interval = 95%
Hence:
z score for 95% confidence interval = 1.96
Standard deviation = 97
n = random number of samples = 238
Margin of Error = ± 1.96 × 97/√238
Margin of Error = ±12.323
The margin of error using the given formula will be ±12.323.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.
Given data;
Confidence interval = 95%
z score for 95% confidence interval = 1.96
Standard deviation = 97
n is a random number of samples = 238
The margin of Error is found as;
E =±z × Standard deviation/√n
[tex]\rm E= +z \times \frac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm E=\±1.96 \times \frac{97}{\sqrt{238} }\\\\ E=\±12.323 \[/tex]
Hence,the margin of error using the given formula will be ±12.323.
To learn more about the error refer to the link;
https://brainly.com/question/13286220
#SPJ5
You uncle wants the ratio of flowers and vegetables
planted his garden to be 3 flowers: 4 vegetables. He
has space for 91 plants. How many flowers should he
plant?
Answers
Answer:
39 flowers
Step-by-step explanation:
there are 7 parts
1 part is 13
3 parts is 39
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answers
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
The expression 15 n + 5 n + 5 Which is another way to write this expression?
Answers
Answer:
cbdkkdfn
Step-by-step explanation:
bfnsowifnccvl
Answer:
Ok
Step-by-step explanation:
(15n+5n)+5
x/y * 26 = 65
quick!!!
Answers
Step-by-step explanation:
x/y×26=65
26x/y/26=65/26
x/y=65÷26
x/y=2.5
Eugene ate 20% of the Christmas cookies his
grandmother made. If he ate 8 cookies, how
many are left?
Answers
Answer:
40 is the total amount of cookies
32 is the amount left
Step-by-step explanation:
If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20
8 × 100 ÷ 20 = 40
Si multiplicas 2 números enteros que no tienen el mismo signo, ¿el resultado será un número entero positivo o uno negativo?
Answers
resposta:
Número entero negativo
explicación paso a paso:
Para ilustrar esto, elegimos dos números enteros con diferentes signos: 5 y -6
Si los multiplicamos:
[tex]5x-6=-30[/tex]
El resultado siempre será un número negativo con diferentes signos: 5 y -6
por favor márcame como el brainliest
Question
Precious bought 4į gallons of milk for $22. How much is one gallon of milk?
Answers
Answer:
5, remainder 2
Step-by-step explanation:
22 divided by 4 is 5 and remainder 2
divide both sides by 4
j = 5.5
Please explain your answer and show your work
Answers
9514 1404 393
Answer:
A. 6b³
B. 6b +6
C. p = 0.0375(6b³ +b +1)
D. $115.54
Step-by-step explanation:
Given:
3 candles with dimensions b×b×b, b×b×2b, and b×b×3b
with wicks of lengths b+2, 2b+2, 3b+2
wick costs $0.005/cm; wax costs $0.03/cm³
selling price is material cost + 25%
Find:
A. an expression for total volume
B. an expression for total wick length
C. an expression for the purchase price of a set
D. purchase price for a set with base area 64 cm²
Solution:
A. The sum of the volumes of the three candles is ...
v = b³ +2b³ +3b³
v = 6b³
__
B. The sum of the wick lengths is ...
L = (b +2) +(2b +2) +(3b +2)
L = 6b +6
__
C. The selling price is 25% more than the cost of materials so is ...
p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375
p = 0.0375(6b³ +b +1)
__
D. The side of the base is the square root of the base area, so is ...
b = √(64 cm²) = 8 cm
Then the price of a set of candles is ...
p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54
Purchase price for a candle set with a base area of 64 cm² is $115.54.
A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters is 25% of the large bottle?
Answers
Multiply 500 by .25 or 25% to het your answer
Answer:
The other answer is wrong
Step-by-step explanation:
Because it said that on my test...
If JK = KL, find JL Please help me.
Answers
Answer:
JL=22x-6
Step-by-step explanation:
We have JK=KL
Can you find the slope and type the correct code?
Answers
Answer:
number 4 : m= -2
Step-by-step explanation
find the two angles and show work!!!
Answers
Answer:
x=23.5
Step-by-step explanation:
90=25-x/2+18
combine like terms
90=43-x/2
subtract 43 from both sides
47= -×/2
47/2= 23.5
x=23.5
or
90-25= 65
65-18=47
47/2=23.5
Which fraction is not equivalent to 7/8?
A. 21/24
B. 35/40
C. 15/16
D. 28/32
Hlep pls
Answers
Answer:
15/16
Step-by-step explanation:Because - 7×2=14×
8×2=16=16✓