Answers
Part 1
[tex](f+g)(x)=f(x)+g(x) \\ \\ =(6x+3)+(x^2 +10x-7) \\ \\ =\boxed{x^2 + 16x-4}[/tex]
Part 2
[tex](f-g)(x)=f(x)-g(x) \\ \\ =(6x+3)-(x^2 +10x-7) \\ \\ =6x+3-x^2-10x+7 \\ \\ =\boxed{-x^2 - 4x+10}[/tex]
Part 3
[tex](f\cdot g)(x)=f(x) \cdot g(x) \\ \\ =(6x+3)(x^2 +10x-7) \\ \\ =6x^3 + 60x^2 - 42x+3x^2 + 30x-21 \\ \\ =\boxed{6x^3 + 63x^2 - 12x-21}[/tex]
Part 4
[tex]\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)} \\ \\ =\boxed{\frac{x^2 + 10x-7}{6x+3}}[/tex]
Related Questions
Let [tex]I=\int\limits^4_{-2} {x^4cos(x^5+2)} \, dx [/tex]. Use the substitution [tex]u=x^5+2[/tex] to convert [tex]I[/tex] into an equivalent integral in the variable [tex]u[/tex].
Answers
If [tex]u=x^5+2[/tex], then [tex]du=5x^4\,dx[/tex], so the integral transforms to
[tex]\displaystyle \int_{x=-2}^{x=4} x^4 \cos(x^5+2) \, dx = \frac15 \int_{u=-30}^{u=1026} \cos(u) \, du[/tex]
since
[tex]x = -2 \implies u = (-2)^5 + 2 = -32 + 2 = -30[/tex]
[tex]x=4 \implies u = 4^5 + 2 = 1024 + 2 = 1026[/tex]
Write equivalent fractions for 11/12 and 17/18
using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
Answers
The equivalent fraction for [tex]\frac{11}{12}[/tex] and [tex]\frac{17}{18}[/tex] is [tex]\frac{22}{24}[/tex] and [tex]\frac{34}{36}[/tex] respectively.
What is an equivalent fraction?There are two or more fractions that are equivalent even if their numerators and denominators are different. For instance, 1/2 is the same as (or equal to) 25/50 or 500/1000. Every time, the fraction is written as "one half" in its simplest form.
The equivalent fraction for [tex]\frac{11}{12}[/tex] is -
[tex]\frac{11}{12}[/tex] × [tex]\frac{2}{2}[/tex] =[tex]\frac{22}{24}[/tex]
The equivalent fraction for 17/18 is -
[tex]\frac{17}{18}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{34}{36}[/tex]
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Select the coordinates of point X on AB that is 1/5 of the distance from A to B
Please help it due soon
A) (3,5, -2.2)
B) (-3.6,2,2)
C) (-3.6,-2.2)
D)(3.6,2.2)
Answers
Answer:
c
Step-by-step explanation:
It takes Kim nine hours to paint a fence.
Sarawong can paint the same fence in ten
hours. How long would it take them if they
worked together?
Answers
One could calculate an affordable monthly rate for rent and expenses by dividing annual income by 12 and calculating 30% of that figure
write this as an equation
Answers
One popular rule of thumb is the 30% rule,
which says to spend around 30% of your gross income on rent.
So if you earn $2,800 per month before taxes,
you should spend about $840 per month on rent.
To calculate,
simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.
An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.
If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.
Typically, the rents that landlords charge fall between 0.8% and 1.1% of the home's value.For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.
If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.
To determine daily rent, the total number of days are divided by the monthly rent.
The daily rent is then multiplied by the number of days the tenant occupies the property.To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.
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Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Liabilities? Specify as a whole number.
Answers
The amount to report for Total Liabilities of Adventure Travel is $25,000
What are total liabilities?
Total liabilities refer to the obligations of Adventure Travel which are due for payments in the short term and long-term, in essence, we are considering both current and non-current liabilities such as Salaries Payable and Long-term notes payable, the former is the current liability since it is due within one year whereas the latter is non-current liability because its repayment date is beyond one year
Total liabilities= Salaries Payable+Long-term notes payable
Salaries Payable=$2,800
Long-term notes payable=$22,200
Total liabilities=$2,800+$22,200
Total liabilities=$25,000
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Find the sum of 3√25 and 2√4 in
simplest form. Also, determine whether
the result is rational or irrational and
explain your answer.
Answers
Then your multiply 15 by 4 and get 60
Answer:
simplest form. Also, determine whether
Step-by-step explanation:
Two boats leave a port at the same time and travels five kilometer per hour on a bearing of 460 degrees the other travels at 9km/hr on a bearing of 127degrees how far are the apart
Answers
Step-by-step explanation:
460=100 degrees
therefore a 27 degree distance between speeds
a^2=b^2+c^2-2bc cos A
a^2=9^2+5^2-2(5)(9)cos 27
=45.8
a=6.77 km/h away
I think you wrote 460 wrong also you can't calculate distance if you don't have the time they have travelled for so I gave you a speed.
Simpliy. 24v^4/54v^6 PLease help me
Answers
Answer:
0.00001338081
Step-by-step explanation:
24v^4=33176v
54v^6=24794911296
33176v/24794911296v
The two v's cancel out so you have:
331776/24794911296
331776/24794911296=0.00001338081
So, your answer is 0.00001338081.
B. Write each set using Set Builder Notation.
1. A = {5, 10, 15, 20, 25, 30}
2. B = {red, orange, yellow, green, blue, indigo, violet}
3. C = {Monday, Tuesday, Wednesday, Thursday, Friday}
4. D = {u, n, i, v, e, r, s}
5. E = {January, March, May, July, August, October, December}
Answers
Answer:
A = { Multiples of five }
B = { colours of rainbow }
C = { day's of week }
D = { letters of universe }
E = { months of a year }
Step-by-step explanation:
please make my answer as brainelist
can someone explain this problem step by step
Answers
step 2: find the x value by simplifying (x = 10)
step 3: find DEG by plugging in x (2(10) + 12 = 32)
step 4: find GEF by plugging in x (5(10) - 6 = 44)
Answer: mDEG = 32 and mGEF = 44
Find the x-intercept and y-intercept from the graph below.
Answers
Answer: ur answer is the 3rd option
Step-by-step explanation:
get smart :)
Answer: the answer is c
Step-by-step explanation: i did it
can anyone tell me what 10(3-8) is in Distributive Property
Answers
Answer:
30 - 80 or -50
Step-by-step explanation:
To distribute numbers, you multiply the term outside of the parentheses with each term inside.
10(3 - 8)
10(3) - 10(8)
30 - 80
10•3=30
10•8=80
30+80=120
Hopefully this helps
Given the following functions, find the indicated values.
Answers
Answer:
(a) f(-3) = 27
(b) f(0) = 6
(c) f(4) = -22
Step-by-step explanation:
To solve, we will input x as -3 into the function.
f(x) = 6 - 7x
f(-3) = 6 - 7(-3)
f(-3) = 27
We will do this for the other values as well.
f(x) = 6 - 7x
f(0) = 6 - 7(0)
f(0) = 6
-
f(x) = 6 - 7x
f(4) = 6 - 7(4)
f(0) = -22
What is the area in square inches of the shape 2.1 and 6.8
Answers
Answer:
A=7.14
that is the correct answer for this question
Match the solution to its expression.
Answers
Answer:
first equation is 1
second equation is 2
which of the following is a flat surface that extends infinitely, has length and width but does not have depth
Answer:Plane
reason:i took the test and passed
Answers
A plane is a flat surface that has length and width but no depth and can extend indefinitely.
In two dimensions, a plane has no limits. It has no thickness at all. A coordinate plane is an illustration of a plane. In the coordinate plane, a type of geometric plane, we plot points. A number line that runs up and down forever and one that runs from left to right indefinitely both exist on the coordinate plane. There are many different kinds of planes, including intersecting and parallel ones. In cursive writing, the upper case letter P stands for a plane.
What kinds of planar geometry are there?Flat forms are also known as plane geometric figures, which include 2-dimensional shapes including squares, rectangles, triangles, and circles. Contrarily, 3-dimensional geometric forms such a cone, cube, cuboid, cylinder, etc. are used in solid geometry.
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Answer: freee points?
Step-by-step explanation: You gave the answer to your own question.
Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is
Answers
27/20000 is the rate as a fraction in simplest form.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Which fraction types are there?
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.270 robberies per 200,000 residents in fraction form = 270/200000
= 27/20000
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William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month? Explain.
Answers
Answer:
Step-by-step explanation:
Which is greater, 1/10 or 0.009?
Answers
A company orders 13 boxed lunches from a deli for $107.25. If each boxed lunch costs the same amount, how much do 19 boxed lunches cost?
Answers
$8.25*19=$156.75
Hope this helps and I hope it’s right lol
A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight?
Answers
The required height of the streetlight is 11.5 feet.
Given that,
A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the
13 feet = 13 * 12 inch = 156 inches
Ratios of height and distance would be equal
54 / 96 = x / 96 + 156
54 * 252/96 = x
x = 138 inches
x = 11.5 feets
Thus, the required height of the streetlight is 11.5 feet.
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I'm confused can someone teach me how to solve this?
Answers
Answer:f(x)=-1
F(x)=-2(-1)-3=-1
-2 (-1) - 3
2 - 3
-1
f(-1) = -1 is the answer
Julia bought a blouse for $18.25 and a skirt for $22.40. If she received a 10% discount for the skirt and the sales tax rate is 7.25%, how many dollars did she pay?
Answers
well, let's take a looksie, hmmm she got the skirt for 22.40, but but but, she got a discount of 10% on that hmmm how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 22.40}}{\left( \cfrac{10}{100} \right)22.40}\implies 2.24~\hfill \underset{\textit{sale price for the skirt}}{\stackrel{22.40~~ - ~~2.24}{20.16}}[/tex]
so now, if we add the price of her blouse that'd be a total of 18.25 + 20.16 = 38.41, from that she paid a tax of 7.25%, so
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.25\% of 38.41}}{\left( \cfrac{7.25}{100} \right)38.41} ~~ \approx ~~ 2.78~\hfill \underset{final~price}{\stackrel{38.41~~ + ~~2.78}{\approx \text{\LARGE 41.19}}}[/tex]
Luisa Hernandez has a family membership in her company's traditional group medical insurance program.
The total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional
annual dental premium of $980 and the optional vision premium of $324. Her contribution is deducted
biweekly from her paycheck. a) How much is her total annual contribution? b) How much is her biweekly
contribution?
Answers
The total annual contribution will be $8437 and the biweekly contribution is $450.
What is insurance?An effective way to guard against financial loss is insurance. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.
Given that the total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional annual dental premium of $980 and the optional vision premium of $324.
The annual contribution will be calculated as below:-
Annual contribution = 12988 - 3247 - 980 - 324
Annual contribution = $8437
The biweekly contribution will be calculated as below:-
Biweekly contribution = ( 12988 / 26) - ( 980 / 26 ) - ( 324 / 26 )
Biweekly contribution = 500 - 37.6 - 12.46
Biweekly contribution = $450
Therefore, the total annual contribution will be $8437 and the biweekly contribution is $450.
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12 is a multiple of 3 and 6
Answers
3•4=12 and 6•2=12.
Mhm!! 12 is a multiple of 3 and 6.
Explanation:
3*4=12
2*6=12
Convert the decimal 0.65 to a fraction in its lowest terms.
Answers
Answer:
The correct fraction is 13/20.
Step-by-step explanation:
[tex].65 = \frac{65}{100} = \frac{13}{20} [/tex]
Reasoning: :)
Does the point (-4, -81) satisfy the equation y=19x + -5?
Answers
Answer: Yes, the point (-4, -81) does satisfy the equation.
Step-by-step explanation:
1) Plug in x and y values: -81 = 19(-4) + (-5)
2) Solve above equation: -81 = -76 - 5
-81 = - 81
The equality is true because both sides are identical.
A machinist has 13 wrought-iron rods to mill. Each rod weighs 24 oz. What is the total weight of the rods in pounds? (Enter your answer as a simplified mixed number.)
Answers
Tony, Ali, and Natasha have volunteered to bring chips to a barbecue. Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag. What fraction of the total number of bags of chips is Ali bringing?
Answers
The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2.
What is a fraction?The fraction is the division of the two numbers but the division is not wholly complete.
The upper word is called numerator while the lower term is called the denominator.
Given that,
Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag.
Number of total bags = 2 + 3 + 1
⇒ 6
The number of bags that Ali brought = 3 bags.
Fraction of bag's that Ali brought = The number of bags that Ali brought / Number of total bags
⇒ 3/6 = 1/2
Hence "The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2".
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