Step-by-step explanation:
f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)
= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).
The roots of f(x) are x = -3, -1 and 1.
=> The new roots are x = -5, -3 and -1.
=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.
How do I write this expression in fewer terms?
9m + k - (3m-2k)
Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?
Answer:
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
Step-by-step explanation:
Given the following refrigerator characteristics :
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.
A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º
Answer: i think i would be half of it
Step-by-step explanation:
what is the decrease percentage ?
from 126 ounces to 48 ounces
Answer:
-61.904761904761905
Step-by-step explanation:
Math is how I got my answer.
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
Question One
There are three forward players, two defensemen, and one goalie on a hockey team. What is the ratio, in simplest form, of
defensemen to the total number on a team?
A
1:6
B
1:3
С
2:1
D
3:1
Answer:
a 1.6
Step-by-step explanation:
i am a sports center worker
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.
Based on previous data, here is the probability distribution of X along with summary statistics:
X = # of customers 0 1 2 3
P(X) 0.10 0.20 0.30 0.40
Mean: μx = 2
Standard deviation: σx = 1
Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip. What are the mean and standard deviation of Y?
Answer:
Mean y = 19 ; SD y = 10
Step-by-step explanation:
Given that:
No of customers : __ 0 ____ 1 _____ 2 ___ 3
P(x) : ___________0.10 __ 0.20 __0.30 _0.40
Fuel cost =$1 (constant)
Amount paid per customer =$10
Number of customers = x
σx = 1 ; μx = 2
σ^2 = 1^2 = 1
Mean of Y
μy = E(Y)
= E(10x - 1)
= 10(Ex) - 1
E(x) = 2
= 10(2) - 1
= 20 - 1
= 19
σY = SD(y)
SD(10x - 1)
10*SD(x) - 1
SD(x) = 1
10(1) - 0
Note : SD of a constant = 0
10 - 0
= 10
The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.
Given :
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.Standard deviation: σx = 1 Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip.The mean of Y can be calculated as given below:
[tex]\rm \mu(Y)=E(Y)[/tex]
[tex]\rm \mu(Y)=E(10x - 1)[/tex]
[tex]\rm \mu(Y) = 10E(x) - 1[/tex]
According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.
[tex]\rm \mu(Y) = 10(2) - 1[/tex]
[tex]\rm \mu(Y) = 19[/tex]
Now, the standard deviation of Y can be calculated as:
[tex]\rm \sigma_Y=SD(Y)[/tex]
[tex]\rm \sigma_Y=SD(10x-1)[/tex]
[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]
The value of SD for a constant is zero.
[tex]\rm \sigma_Y=10(1)-0[/tex]
[tex]\rm \sigma_Y = 10[/tex]
For more information, refer to the link given below:
https://brainly.com/question/12402189
B is the midpoint of ACand E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find
the coordinates of D.
Answer:
[tex]Solution,\\Midpoint of coordinates (a ,b) and (c,d) is given by:\\(x,y) = (\frac{a+b}{2} , \frac{c+d}{2}) \\Therefore, coordinate of B is\\(\frac{-9-1}{2},\frac{-4+6}{2}) = (\frac{-8}{2},\frac{2}{2}) = (-4 , 1)[/tex]
[tex]Similarly,\\E(4, -3) = (\frac{-4+x}{2},\frac{1+y}{2}) where, (x,y) are the coordinates of D\\or, 4=\frac{x-4}{2} and -3 = \frac{y+1}{2}\\or, 8 = x - 4 and -6 = y+1\\or, x= 12 and y = -5\\Therefore, the coordinates of D are (12,-5)[/tex]
Use the Distributive Property to find 13×612.
Answer:
(612 x 10) + (612 x 3) = 6120 + 1836= 7956
Step-by-step explanation:
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
What's 10.08 rounded to the nearest one?
Answer:
10
Step-by-step explanation:
Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?
Answer: 5 weeks
Step-by-step explanation: Please give me brainliest
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is
320 square feet, what is the area of the deck itself?
A. 320 square feet
B. 400 square feet
C. 480 square feet
D. 560 square feet
Need help asap please!!!
Answer:15
Step-by-step explanation: 7 and a half times 2 is 15
the answer to that question is 15.
The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°
Answer:
<1 =126
Step-by-step explanation:
<2 = 126 since they are vertical angles
<1 = <2 since they are alternate interior angles
<1 =126
You buy 4 Chicken Burritos that each cost the same amount and a Coca Cola all
for $21.00. You know the Coca Cola costs $2.00. How much does each Burrito
cost?
Answer: $9.50
Step-by-step explanation: $21-2=$19; $19÷2=$9.50
A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed
Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
What is 2.419 rounded to the nearest one?
Answer:
2
Step-by-step explanation:
15-[14/(15-8)+13-14]•
10
Answer:
5
Step-by-step explanation:
15-(2+13-14)×10 (beacuse 14÷7=2)
15-(15-14)×10
15-1×10
15-10
5 ans
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
What is the slope of the line through (2, 10) and (-2, 17)?
what is 117 ÷12 equal
Answer:
9.75
Step-by-step explanation:
In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders
Answer:
Mean= 8.3
Standard deviation=7.8
Step-by-step explanation:
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
I will give brainiest to whoever answers correctly !!
Answer:
14.0
Step-by-step explanation:
14.096 rounded to the nearest tenth
Enter the decimal represented by the shaded square.
halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes
Please help!!! Will give brainliest!!!
Answer:
a = 2
b = 1
c = -6
Step-by-step explanation:
Distribute and then combine like-terms.
Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?
Answer:
i have no clue
Step-by-step explanation:
tbh
