What is the completely factored form of f(x)=x3+4x2+9x+36 ?
f(x)=(x+4)(x−3)(x+3)
f(x)=(x−4)(x−3i)(x+3i)
f(x)=(x+4)(x−3i)(x+3i)
f(x)=(x−4)(x−3)(x+3)
Answers
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Related Questions
There is a sequence of four Engineering classes that a student must pass to finish her major. Each class depends primarily on material learned in the previous class. Consider a student who will maintain good standing in these classes. An experienced advisor predicts that, if the student earns an A in one of these classes, she has probability .6 of an A in the next class in the sequence, .3 of a B, and .1 of a C. If the student earns a B in one of these classes, she has probability .25 of an A in the next class in the sequence, .55 of a B, and .20 of a C. If the student earns a C in one of these classes, she has probability .05 of an A in the next class in the sequence, .40 of a B, and .55 of a C. a) Write out the Markov transition matrix for how this student is expected to do in the next class in sequence after taking one of the classes. b) Find the probability that if a student earns a
Answers
Answer:
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Step-by-step explanation:
using the given data in the question
a) The Markov transition matrix
[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]
Note : Column 1 = A, column 2 = B, Column 3 = C
Row 1 = A, Row 2 = B and ROW 3 = C
b) Question is incomplete
The school drama club had 40 students in it last year. This year, the club has 52 students.
What is the percent increase in the number of students from last year?
Answers
Answer:
30% increase
Step-by-step explanation:
f(x) = 2x3 - 3x2 + 5
g(x) = 3x3 + 2x2 - 4x - 9
Find (f - g)(x).
O – x3 – 5x2 + 4x + 14
O – x3 – x2 - 4x - 4
O 5x3 – x2 - 4x - 4
O x3 + 5x2 - 4x – 14
Answers
Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
Which symbol correctly compares the two angle measures?
I radians
30°
O
A.
B. <
C. >
Answers
Answer:
C. >
Step-by-step explanation:
Identify the null and alternative hypothesis in the following scenario.
To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.
a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2
Answers
Answer:
H0 : u1 = u2 ; H1 : u1 ≠ u2 , or specifically u1 > u2
Step-by-step explanation:
Null Hypothesis is the neutral hypothesis , stating no difference from assumed value, (or in this case no difference between both batteries' mean life)
Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)
Let mean life of battery 1 & battery be b = u1 & u2 , respectively.
Null Hypothesis [ H0 ] : u1 = u2
Alternate Hypothesis [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }
What’s the correct answer??? I will mark as brainlest
Answers
reason: the - (- makes positive. you add the x and 5x to get 6x, then subtract the -3x to get 3x :))
hope this helps
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answers
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
Is the expression 3x+2 a binomial?
Answers
Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .
Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?
Answers
Answer:
$-69.94
Step-by-step explanation:
Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94
He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)
Total amount left in his account = $-49.94 - $20
A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds.
To the nearest pound, what is its density in pound per cubic feet?
Answers
Answer:
Density = 52.8 pound per cubic feet.
Step-by-step explanation:
Given the following data;
Length = 2.5 feet
Width = 0.5 feet
Height = 0.25 feet
Mass = 16.5 pound
To find the density of the wood;
First of all, we would determine the volume of the wood.
Volume = length * width * height
Volume = 2.5 * 0.5 * 0.25
Volume = 0.3125 cubic feet
Next, we find the density;
Mathematically, density is given by the formula;
Density = mass/volume
Substituting into the formula, we have;
Density = 16.5/0.3125
Density = 52.8 pound per cubic feet.
Plzzz help as soon as possible
Answers
1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.
Answers
Answer:
1. 144.4 m²
2. 120 m³
Step-by-step explanation:
The figure is composed of a triangular prism and a rectangular prism
1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)
✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L
b = 5 m
h = 2 m
s1 = 3.2 m
s2 = 3.2 m
s3 = 5 m
L = 6 m
Plug in the values
Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6
= 10 + (11.4)*6
= 78.4 m²
✔️Area of rectangular prism = 2(LW + LH + WH)
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Area of rectangular prism = 2(6*5 + 6*3 + 5*3)
= 126 m²
✔️Area of the face joining both figures = L*W
L = 6 m
W = 5 m
Area = 6*5 = 30 m²
✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)
= 48.4 + 96
= 144.4 m²
2. Volume of composite figure = volume of triangular prism + volume of rectangular prism
= ½*a*c*h + L*W*H
a = 2 m
c = 5 m
h = 6 m
L = 6 m
W = 5 m
H = 3 m
Plug in the values
Volume = ½*2*5*6 + 6*5*3
Volume = 30 + 90 = 120 m³
Please help i need the MAD what ever that means
Answers
Answer:
what is the MAD??????????
Step-by-step explanation:
Answer:
Answer depends on the data (not provided in your question)
Step-by-step explanation:
MAD stands for mean absolute deviation. The definition gives clues as to how to find it.
Deviation refers to how far a number is from the mean (average) of the data
Example: For the data -12, 4, 12, 16, the mean of the data is (-12+4+12+16)/4 = 5.
Data Absolute Deviation from mean
-12 |-12 - 5| = 17
4 |4 - 5| = 1
12 |12 - 5| = 7
16 |16 - 5| = 11
Mean Absolute Deviation (MAD)
(17 + 1 + 7 + 11) / 4 = 9
What is the first step in constructing an angle
Answers
Answer:
Step 1: Draw the arm PQ.
Step 2: Place the point of the compass at P and draw an arc that passes through Q.
Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.
Step-by-step explanation:
Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.
Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)
Answers
Answer:
$637.10
Step-by-step explanation:
Given:
P = 600
r = 6% or 0.06
t = 1
Work:
[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]
y
B (7,-3)
C(6,-)
A (4,-9)
What is the y-coordinate of point C?
OA – 4
OB. –S
C. -6
D.-7
Answers
Answer:
c, -6
I hope this helps you
the diagram shows a parallelogram. what is the value of x
Answers
Answer:
Step-by-step explanation:
what
Answer:
where is the diagram
Step-by-step explanation:
Which graph below shows a system of equations with one solution?
1 and 2
Answers
Answer: the Second one
Step-by-step explanation:
Hope this helps you
Juliette won her 400m race in a time of 1:01.71. If she ran the 1500m at the same rate,
approximately how fast would she run the race?
Answers
Answer:
230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)
Step-by-step explanation:
First I will convert the minutes into seconds to make this a little easier.
1:01.71 would just be 61.71 seconds
400/61.71 is her speed for the first race. (speed is distance/time)
That is approximately 6.5 meters per second
time is distance/speed
1500/6.5= 230.769...
I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.
Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical
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I need help badly and don't send no links or you will be reported
Answers
Answer:
-6,2
Step-by-step explanation:
Which of the following is an example of a sample that would NOT be random? A. Going through the list and choosing the first 25 names on the list. B. Writing each student’s name on a card and then drawing out 25 names without looking. C. Choosing one student at random from the list and going through the list and choosing every fifth student until she has 25 names. D. Separating the students on the list into boys and girls and choosing a sample from each group that is proportional to the size of the group.
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
6. What percent of 24 is 12?
Answer plsss
Answers
Answer:
50%
Step-by-step explanation:
To find our answer will will first put it into an equation as [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex]. Because we are cross multiplying we will multiply 100 by 12 and we get 1,200. Now because we are solving for x we will divide 1,200 by 24, which is 50%. Therefore, 50% is our answer.
help asap pls! (Apply PEMDAS if needed)
Answers
Answer:
10
Step-by-step explanation:
You just plug x into the expression and then you simplify:
30-2^2*x+12÷3
We know that x=6
30-(2^2)(6)+12/3
30-(4)(6)+4
30-24+4
10
Need help quick just the answer
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it is c
if you need an example tell me in the comment
Find the missing length indicated
Please help, no links
Answers
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
9/2.5-5.2=10.8 What is G
Answers
Answer:
G = - 6 . 75
Step-by-step explanation:
10 . 8 / - 1. 6
- 6 . 75
What is 7,300,000 written in scientific notation?
Answers
Answer:
7300000 in scientific notation can be written as 7.3 x 10^6
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Answers
step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035
a planter is shaped like a right rectangular prism its height, h is 5 4/5 inches. The length, L is 14 1/2 inches ,and its width, W is 3 1/2 inches. When determining of the planter, which statements are correct
Answers
Answer:
There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:
Step-by-step explanation:
The volume of a right rectangular prism may be calculated using the formula:
whl, where w is width, h is height and l is length.
In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.
Answer: 8 ft
Step-by-step explanation:To find the correct answer, use the formula, V=l×w×h. Substitute 48 for the volume, 2 for width, and 3 for height. Then, use a related division equation to find the length.
48 = l × 2 × 3
48 = l × 6, so 48 ÷ 6 = l
8 = l
The length of the planter box is 8 feet.