HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Answers
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Related Questions
Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7
Answers
Answer:
The exponential smoothing forecast for period 13 = 39.68
Step-by-step explanation:
As given,
[tex]\alpha[/tex] = 0.4
Time Sales forcast
1 48
2 41 48
3 37 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2
4 32 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92
5 36 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95
6 31 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17
7 43 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] = 34.70
8 52 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02
9 60 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61
10 48 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17
11 41.9 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30
12 29.7 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34
13 46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68
∴ we get
The exponential smoothing forecast for period 13 = 39.68
4/40 in its simplest form
Answers
Answer:
1/10
Step-by-step explanation:
(4/40)/ (4/4) = 1/10
If your chances of losing the shell game if you randomly pick is 2 in 3. What are the chances that you would lose 5 games in a row?
A) 13.1687
B) 1.31687
C) .131687
D) .013687
Answers
Answer:
c
Step-by-step explanation:
___
H is the midpoint of IJ and IH = 0.75 find HJ
Answers
Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Answers
Answer:
1 and 2 adjacent
5 and 6 are linear pair
Step-by-step explanation:
Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.
Answers
Answer:
a) The boundaries are [tex]Z = \pm 0.253[/tex]
b) The boundaries are [tex]Z = \pm 0.675[/tex].
c) The boundaries are [tex]Z = \pm 1.96[/tex].
d) The boundaries are [tex]Z = \pm 2.575[/tex].
Step-by-step explanation:
Z-score:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
a. The middle 20% from the 80% in the tails.
The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:
40th percentile: Z has a pvalue of 0.4, so Z = -0.253.
60th percentile: Z has a pvalue of 0.6, so Z = 0.253.
The boundaries are [tex]Z = \pm 0.253[/tex].
b. The middle 50% from the 50% in the tails.
The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:
25th percentile: Z has a pvalue of 0.25, so Z = -0.675.
75th percentile: Z has a pvalue of 0.75, so Z = 0.675.
The boundaries are [tex]Z = \pm 0.675[/tex].
c. The middle 95% from the 5% in the tails.
The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:
2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.
97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.
The boundaries are [tex]Z = \pm 1.96[/tex].
d. The middle 99% from the 1% in the tails.
The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:
0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.
99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.
The boundaries are [tex]Z = \pm 2.575[/tex].
A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.a. A middle 20% from the 80% in the tails.
Note: The middle 20% is between the 40th percentile and 60th percentile.
40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.Z = [tex]\pm 0.253[/tex]
b. A middle 50% from the 50% in the tails.
Note: The middle 50% is between the 25th percentile and 75th percentile.
25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.Z = [tex]\pm 0.675[/tex]
c. A middle 95% from the 5% in the tails.
Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.
2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.Z = [tex]\pm 1.96[/tex]
d. A middle 99% from the 1% in the tails.
Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.
0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.Z = [tex]\pm 2.575[/tex]
Read more on z-scores here: https://brainly.com/question/4302527
Factor 3n^2 + 5n - 2
PLZ HELP
Answers
Answer:
(3n - 1)(n + 2)
Step-by-step explanation:
Help needed with this asap
Answers
Answer:
f(-3) = 4(-3) + 5 = -12 + 5 = -7. the answer is #2.
Rewrite the polynomial as a product of the monomial and the polynomial. −15a^2bc+20ab^2c−25bc^3
Answers
Answer:
Step-by-step explanation:
15a²bc = 3·5·a²·b·c
20ab²c = 2²·5·a·b²·c
25bc³ = 5²·b·c³
greatest common factor: 5bc
(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²
-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answers
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
Sorry for the blur but I need help with this one objective: find all seven angles
Answers
Please help marking brainliest serious answers only
Answers
Answer:
d
Step-by-step explanation:
please mark me as brainlist and be happy
add me on sñap my ID is: arshad2623f
please i just wanted to make friends cuz I'm alone BTW I'm 15yo
Answer:
Consecutive Interior
Step-by-step explanation:
When two lines are crossed by another line (called the Transversal) The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answers
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
Yesterday, Eddy ran 26.2 miles.
Today, he ran 10% of that.
How far did Eddy run today?
Answers
Answer:
Step-by-step explanation:
10% of 26.2 miles = 0.10×26.2 miles = 2.61 miles
The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?
Answers
Answer:
Step-by-step explanation:
[tex]L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2[/tex]
Answer:
L=4W-2
P=2L+2W
36= 2(4W-2)+2W
36= 8W-4 +2W
36= 10W-4
36+4=10W
40=10W
40/10=W
W=4
L=4(4)-2
L=14
AREA =L(W)
AREA = 4X14
AREA =48 cm
How do you find the square root of -24 by simplifying
Answers
Answer:
you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.
The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?
Answers
Answer:
C
Step-by-step explanation:
The possible value of the machine at the end of each year will be $3200
What is depreciation?Depreciation in economics is a measure of the amount of value an asset loses from influential factors affecting its market value.
Given that, the value of a machine is decreasing by a constant percent rate each year, we need to find the possible value of the machine at the end of each year,
So, we can say that this is a case of depreciation,
Since, the values are not given, let us consider the rate be 20% and the initial price of the machine be $16000.
We know that, the depreciation, formula is given by :
A = P(1-r)ⁿ
Where, A = final amount, P = initial amount, r = rate and n = time.
Since, the value is decreasing by a constant percent rate each year,
Therefore, every year the amount decreased will be same,
Finding for 1 year,
A = 16000(1-0.2)¹
A = 16000(0.8)
A = 12800
The amount decreased = 16000-12800 = $3200
Therefore, after each year the decreased amount will be $3200
Hence, the possible value of the machine at the end of each year will be $3200
Learn more about depreciation, click;
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Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answers
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
Two unequal values that are compared using less than (<) and greater than (>) signs.
Answers
Answer:
I'm pretty sure it's D
Step-by-step explanation:
maths
Consider these functions
f(x) = 4x^3 - 10
3x - 4
g(x) = _______
2
What is the value of g(f(2))
A. -6
B. 2
C. 19
D. 31
Answers
==========================================================
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
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HURRY WILL MARK AS BRAINLIEST IF CORRECT
Answers
Answer:
The nuber of cells double
Step-by-step explanation:
The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.
si lanzas 3 monedas (de diferente denominación) se tienen 8 resultados. ¿cuantos habrá si se lanzan 4 monedas?
Answers
Answer:
la respuesta es 16vpor que aumenta 2
pedro y louis tiene 30 cromos. louis le dice a pedro 'dame 8 cromos para tener los mismos que tu'
cuantos cromos tiene cada uno.
Answers
Answer:
Pedro tiene 23 cromos y Luis 7.
Step-by-step explanation:
Sabemos que Pedro y Luis tienen (entre ambos) 30 cromos.
Definamos:
P = número de cromos que tiene Pedro
L = número de cromos que tiene Luis.
Entonces P + L = 30
Y sabemos que si Pedro le da 8 cromos a Luis, entonces ambos van a tener la misma cantidad de cromos.
Cuando Pedro da 8 cromos, el va a tener P - 8 en total
Cuando Luis recibe 8 cromos, el va a tener L + 8 en total
Entonces: P - 8 = L + 8
Tenemos dos ecuaciones:
P + L = 30
P - 8 = L + 8
Esto es un sistema de ecuaciones, para resolverlo el primer paso es aislar una variable en una de las ecuaciones, yo voy a aislar P en la primera:
P = 30 - L
Ahora podemos reemplazar esto en la otra ecuación para obtener:
(30 - L) - 8 = L + 8
Y podemos resolver esto para L.
30 - L - 8 = L + 8
22 - L = L + 8
22 - 8 = L + L
14 = 2*L
14/2 = L
7 = L
Entonces Luis tiene 7 cromos, y reemplazando esto en cualquiera de las dos ecuaciones que teníamos originalmente podemos encontrar el valor de P.
P + L = 30
P + 7 = 30
P = 30 - 7 = 23
Pedro tiene 23 cromos.
joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?
Answers
Circle A’s area is 81pi.
Circle B’s area is 20.2pi, or about 63.42
On Friday, a local hamburger shop sold a combined total of 308 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answers
Answer:
77
Step-by-step explanation:
x = hamburgers
3x = cheeseburgers
3x + x = 308
4x= 308
x = 77
Answer:
77
Step-by-step explanation:
Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27
Answers
Answer:
The answer is B.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
So the answer is 15.
Hope this helps :)
-ilovejiminssi♡
A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?
Answers
Answer:
$24
Step-by-step explanation:
$24
30 x .80 equals 24
Hope this helps!
Plz, Mark Brainliest!
Can you just solve these two problems I don’t get it. Please help
Answers
Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
PROBLEM 5:
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
PROBLEM 6:
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:
Answers
Answer:
10$ each
Step-by-step explanation:
So if x is 2.8 and the equation is x=y5 then what is y ?
Answers
Answer:
sooooooooo
Step-by-step explanation:
Answer:
x=y5
2.8=y^5
[tex] \sqrt[5]{2.8} [/tex]
=y
y=12.28