Answers
Answer:
value of a is -19
value of b is 10
Step-by-step explanation:
Given
p(x) = 6x³ + ax² + 9x + b
Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .
So, x = 2 & x = -1/2 are the solutions of given polynomial .
when x = 2
p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0
p(2) = 6×8 + 4a + 18 + b = 0
p(2) = 48 + 4a + 18 + b = 0
p(2) = 66 + 4a + b = 0
4a + b = -66 -------(i)
Now ,
when x = -½
p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0
6 × (-⅛) + a/4 - 9/2 + b = 0
-3/4 + a/4 - 9/2 + b = 0
-3 + a -18+4b/4 = 0
-21 + a + 4b = 0
a + 4b = 21 -------(ii)
Now, multiplying the equation (ii) by 4 we get
4a + 16b = 84 -----(iii)
Substracting equation (i) from (iii) we obtain
15b = 150
b = 150/15
b = 10
Now, putting the value of b = 10 in equation (ii) we get
a + 40 = 21
a = 21-40
a = -19
So, the required value of a & b are 10 & -19 respectively .
Related Questions
Please solve and explain the steps
Answers
Answer:
-4.01, -4, -7
Step-by-step explanation:
You want the values of x that satisfy the inequality -x +6 ≥ 10.
SolutionThe inequality can be solved by adding x-10 to both sides
(-x +6) +(x -10) ≥ (10) + (x -10)
-4 ≥ x
The values of x will be those that are at or left of -4 on the number line:
-4, -4.01, -7
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Determine whether each table represents a linear or nonlinear
function. Explain.
1
0 5 10 15
х
х
1
2
3
4
20
16
12
8
y
у
1
4
9
16
Answers
Answer: Yes, No
Step-by-step explanation:
1st table is linear because the slope is always constant.
Second is not linear, but rather exponential.
following number in words:
489 73
153 862
903 036
444 333
16
Answers
Answer:
Step-by-step explanation:
4 septillions, 897 sxtillions(search up the word i cant say it), 315 quintillions, 386 quadrillions, 290 trillions, 303 billions, 644 millions, 433 thousands and 313.
it hard like all the from your guys web page so yeah
Answers
Answer:
Hi
Step-by-step explanation:
I'm sorry I don't understand do you need help with anything?
Jayden's monthly bank statement showed the following deposits and withdrawals:
-−$73.59, -−$7.81, $86.90, $6.74, -−$115.75
If Jayden's balance in the account was $85.62 at the beginning of the month, what was the account balance at the end of the month?
Answers
Answer:
-17.89
Step-by-step explanation:
I think this is the answer
Start with the beginning balance then add or subtract the given amounts:
85.62 -73.59 = 12.03
12.03-7.81 = 4.22
4.22 + 86.90 = 91.12
91.12+ 6.74 = 97.86
97.86-115.75 = -17.89
Answer: -$17.89
Find f(h(-1))
2
-9
11
-11
Answers
Answer:
(d) -11
Step-by-step explanation:
Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.
h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2
f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11
Then f(h(-1)) is ...
f(h(-1)) = f(2) = -11
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 64. What is Mikhail's age?
years old
Answers
Answer:
Mikhail is 38
Gabrielle is 26
Step-by-step explanation:
Answer:
Let age of gab is x and then mik will be x+9
Now both of them have total sum 87
Step-by-step explanation:
Just add x+x+9 =87 2x=78, x=78÷2
X=39
Question 3 of 40
Kayla was asked to rewrite the polynomial expression x2 - 14x + 49. How
could she rewrite the polynomial?
A. (x-7)(x-7)
B. (x-7)(x+7)
C. (x + 7)(x+2)
D. (x + 7)(x+7)
Answers
Convert 34.0 inches into centimeters. Express your answer as decimal rounded to two places
Answers
Answer:
86.36 centimeters
Step-by-step explanation:
34 x 2.54 = 86.36
The measure of an angle is 173.3º. What is the measure of its supplementary angle?
Answers
Answer:
6.7 degrees
Step-by-step explanation:
180-173.3 = 6.7 degrees
I would really appreciate it if you could help me. thanks in advance.
Answers
Calculate the volume of a hemisphere of diameter given below:
10cm
Answers
Answer:
2.61
Step-by-step explanation:
Cube the diameter. Multiply by the number pi. Divide by the number 12. 3.14 x 10 / 12 = 2.61 the original number is 2.61666666667 But to make it simple its 2.61
Please help!!! 50 points!!!
Answers
More Info needed
Brainliest if correct
Answers
Answer:
-16
-10
-4
2
Step-by-step explanation:
y = 3x - 4
x = -4, y = 3(-4) - 4 = -16
x = -2, y = 3(-2) - 4 = -10
x = 0, y = 0 - 4 = -4
x = 2, y = 3(2) - 4 = 2
3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(μ=4378, σ=565). The distribution for women ages 25 - 29 is N(μ=5212, σ=849). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Report your answer to 2 decimal places.
a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish.
b) The cutoff time for the slowest 10% of athletes in the women's group.
Answers
Using the normal distribution, it is found that:
a) The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.
b) The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Item a:
For men, we have that [tex]\mu = 4378, \sigma = 565[/tex].
The cutoff for the fastest 5% of the athletes is the 5th percentile, which is X when Z has a p-value of 0.05, that is, X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4378}{565}[/tex]
[tex]X - 4378 = -1.645(565)[/tex]
[tex]X = 3448.58[/tex]
The cutoff time for the fastest 5% of athletes in the men's group is of 3448.58.
Item b:
For women, we have that [tex]\mu = 5212, \sigma = 849[/tex].
The cutoff is the 90th percentile, which is X when Z = 1.28, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 5212}{849}[/tex]
[tex]X - 5212 = 1.28(849)[/tex]
[tex]X = 6298.72[/tex]
The cutoff time for the slowest 10% of athletes in the women's group is of 6298.72.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Every square is a trapezoid. Is this true or false?
Answers
Answer: This is true. Every square has 2 pairs of parallel sides and the conditions for a shape to be a trapezoid is if it has at least 1 pair of paralell sides. Since a square satisfies these conditions, it is a trapezoid.
What is x to the 1/2 power divided by x to the -1/2 power
Answers
Answer:
x
Step-by-step explanation:
When you simplify the equation [tex](x^\frac{1}{2})/(x^\frac{-1}{2})[/tex] you get the answer of x.
PLEASE ANSWER THIS QUESTIO NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2.65 pounds/week
Step-by-step explanation:
(13 1/4) / 5
13.25 / 5
= 2.65 pounds/week
Answer:
2.65 lbs per week
Step-by-step explanation:
13.25 is how many pounds
5 weeks is the length of time
pounds/length of time
13.25/5 = 2.65
2.65 lbs per week
What is the area of this trapezoid?
O 18 in2
O 30 in
O 12 in?
O 22 in?
Answers
An adult movie ticket costs $10 and a student movie ticket costs $6. A popcorn combo costs $8. Find the cost difference between 6 adult
tickets and 6 popcorn combos and 6 student tickets and 6 popcorn combos
Answers
Answer: $24
Step-by-step explanation:
Since the popcorn combos are the same amount, we are essentially calculating the difference between 6 adult tickets and 6 student tickets.
6 adult tickets are $10*6 = $60, while 6 student tickets are $6*6 = $36.
60-36= $24
f(n) = 10*(10x + 10)
f(10) = ?
Answers
Answer:
f(10) = 1100
given:
f(n) = 10(10x + 10)
solve:
f(10) = 10(10(10)+10)
f(10) = 10(100+10)
f(10) = 10(110)
f(10) = 1100
Answer:
1100
Step-by-step explanation:
f(n) = 10*(10x + 10)
f(n) = 100x + 100
f(10) = 100(10) + 100
f(10) = 1100
21
22
23
24
25
What is the cube root of 64x127
O 4X4
4x5
BXA
8x
f
O O O
Answers
Answer:
64x^127
Step-by-step explanation:
caculate it with all the numb
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answers
Answer:
a) Slope: -2
b) y=2/5x+2
C) x=2.5
D) y=-7x-2
Step-by-step explanation:
I don't want to type all my work but that's what i got
A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of x.
Answers
Answer:
x = 45°
Step-by-step explanation:
A straight line is 180° which we can use to solve this problem.
180° - 135° = x
x = 45°
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.
- Heather
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is greater than 1100 kWh.
Please explain!
Answers
Hi !
The Answer is :-
[tex]0.409[/tex]
(Please check my attached image for it)
Have a great day!!
Find the height of a triangle with base 4 cm and area 20 cm2.
cm
Answers
[tex]~[/tex]
Need to Find?Height of Traingle[tex]~[/tex]
Solution: Let Height (H) of traingle be H cm[tex]~[/tex]
Using formula:
[tex] \underline{ \boxed { \textbf{ \textsf{Area \: of \: Traingle = 1/2 × B × H }}}}[/tex][tex]~[/tex]
Putting values in the formula:
[tex]\longrightarrow \sf 20 = 1/2 × 4 × H [/tex]
[tex]\longrightarrow \sf 20= 2 × H [/tex]
[tex]\longrightarrow \sf 20/2 = H [/tex]
[tex]\longrightarrow \sf H = 10cm[/tex]
[tex]~[/tex]
[tex]\therefore[/tex] Height of Traingle is 10cm
please help me with this
Answers
Answer:
I don't know if it's two separate questions so I did two
iven the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5}
B = {1, 3, 5, 7}
How many elements are in B'
Answers
Answer:
4
Step-by-step explanation:
There are four elements in set B. they are 1,3,5 and 7
Say a joke for Brainslet
have fun!
Answers
Hellooooo!!!!
My joke is, what has a neck but no head, but can wear a cap?
Have fun! please give brainliest if you could!! <3
Answer:
How do you teach a chicken math?
Step-by-step explanation:
Show it lots of egg-samples
give brainliest? ;)
Simplify the expression:
2+1d+3a=4
Answers
Answer:
d=2-3a
Step-by-step explanation:
Solve for d by simplifying both sides of the equation, then isolating the variable.
3d+3a=4
Subtract 3 from each side of the equal sign:
d+3a=1
Subtract 3a-1:
d=2-3a
Hence d=2-3a is your final answer
Answer:
d = 2 - 3a
a = -d+2/3
Step-by-step explanation:
i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea
lmk if this helped
