Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Answer:
first option
Step-by-step explanation:
They are cumulative because they are constant functions.
f (x) = 2x² - x - 12
Find f(8)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(8) = 108
Step-by-step explanation:
Hello!
Substitute 8 for x in the equation.
Evaluatef(x) = 2x² - x - 12f(8) = 2(8)² - (8) - 12f(8) = 2(64) - 8 - 12f(8) = 128 - 8 - 12f(8) = 108f(8) is 108.
help
.....................
Answer:
1. x = 9
2. x = 4
3 x =
4. x = 10
5. x =
6. x = 11
7. x = -1
8.x =
9. x = -4
10. x =
11. x = 10
12.x = -10
Graph the inequality on a number line c[tex]\leq[/tex]-36 and
The inequality 20 ≥- 3.2(c - 4.3) can be represented as c ≥ -1.95
How to graph the inequality on a number line?The inequality is given as:
20 ≥- 3.2(c - 4.3)
Divide both sides of the inequality by -3.2
So, we have:
20/-3.2 ≥ -3.2(c - 4.3)/-3.2
Evaluate the quotient
-6.25 ≤ (c - 4.3)
Remove the bracket in the above inequality
So, we have:
-6.25 ≤ c - 4.3
Rewrite the above inequality as
c - 4.3 ≥ -6.25
Add 4.3 to both sides of the inequality
c ≥ -1.95
This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c ≥ -1.95
See attachment for the graph of the inequality
Read more about inequality at:
https://brainly.com/question/24372553
#SPJ1
2r−2p= n solve for p. has to be answered such as n-2r line under (division) equals p.
The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
According to the given question.
We have a linear equation in two variables 2r - 2p = n.
Here we have to solve the given linear equation 2r - 2p = n in two variables for p.
So, the solution of the equation 2r - 2p = n for p is given by
2r - 2p = n
⇒ 2(r - p) = n (taking 2 as a common)
⇒ r - p = n/2 (dividing both the sides by 2)
⇒ r - n/2 - p = 0 (subtracting n/2 from both the sides)
⇒ r - n/2 = p (adding p both the sides)
⇒ p = r -n/2
Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.
Find out more information about equation here:
https://brainly.com/question/10413253
#SPJ1
Solve for x.
(2x-2)°
-(x+5)°
Answer: 29°
Step-by-step explanation:
(2x-2)° + (x+5)° + 90° = 180°
(2x-2)° + (x+5)° = 90°
(2x + x)° = 87°
(3x)° = 87°
x° = 29°
A 2-lb sample of an unknown liquid occupies a volume of 47.6 in.3 for the liquid determine (a) the specific volume, in ft3/lb, and (b) the density, in lb/ft3.
The specific volume is 0.0135 ft^3
The density is 74.07 lb/ft^3
Here,
A 2-lb sample of an unknown liquid occupies a volume of 47.6 in^3.
We have to find the specific volume and density.
What is Specific volume?
Volume is a measure of the amount of space occupied by an object.
Now,
Mass = 2 lb
Volume = 47.6 in^3
= 0.027 ft^3
Hence, Specific volume = volume/ mass = 0.027/2 = 0.0135 ft^3
And, Density = mass/ volume = 2/ 0.027 = 74.07 lb/ft^3
So, The specific volume is 0.0135 ft^3
The density is 74.07 lb/ft^3
Learn more about the volume visit:
https://brainly.com/question/12410983
#SPJ4
Information from the records of conundrum company for september was as follows: sales $307,500 selling and administrative expenses 52,500 direct materials used 66,000 direct labor 75,000 variable factory overhead 50,000 factory overhead 51,250 inventories sept. 1 sept 30 direct materials $ 8,000 $10,500 work in process 18,750 21,000 finished goods 17,250 14,250 conundrum company produced 20,000 units. the prime costs per unit (rounded to the nearest cent) for september were
The prime costs per unit (rounded to the nearest cent) for September were $7.05 per unit.
What is the total cost?In economics, total cost is the sum of all costs a company incurs in generating a certain output level.
It is typically expressed as the sum of all fixed costs (for example, the costs of a building lease and heavy machinery) that do not vary with the amount of output produced and all variable costs (the costs of labour & of raw materials).The concept of total cost is used to describe average cost (the total cost divided by the amount of units produced) and marginal cost (the marginal cost of a provided unit of output is the increase in total cost required to produce that unit).Now, as per the question;
Prime cost = (cost of direct material + cost of direct labour)/number of units.
Cost of direct materials used = $66,000
Cost of direct labour = $75,000
Number of units = 20,000
Substituting the values;
= ($66,000 + $75,000) / 20,000 units
= $141,000 / 20,000 units
= $7.05 per unit
Thus, the prime cost per unit in September is found to be $7.05 per unit.
To know more about the total cost, here
https://brainly.com/question/24314569
#SPJ4
The following table gives a partial set of values of a polynomial function. x −2 −1 0 1 2 3 g(x) 14 2 0 4 6 −2 Between which two values would a relative minimum most likely occur? (2 points) −2 and 0 0 and 2 −1 and 1 1 and 3
From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.
Between which two values would a relative minimum most likely occur?Here we have the table:
x: -2, -1, 0, 1, 2, 3g(x): 14, 2, 0, 4, 6, -2You can see that:
g(-1) = 2
g(0) = 0
So the function goes downwards from x = -1 to x = 0.
g(1) = 4
So the function goes upwards between 0 and 4.
Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.
If you want to learn more about polynomial functions:
https://brainly.com/question/7693326
#SPJ1
What is a statement that explains why 13x - 13y = -26 Shares a solution with {10x-3y=29
{-3x+10y=55
A statement that explains the equation 13x - 13y = -26 shares a solution with given system of equations because 13x - 13y equals 55.
What is defined by system of equations?Linear equations (those that graph as straight lines) are easier to solve than non-linear equations, as well as the simplest linear system has two equations and two variables.The equation system is presented below;
10x - 3y = 29 .........equation 1
-3x + 10y = 55 ..........equation 2
As a result of subtracting equation (2) from equation (1), we get;
By subtracting equivalent expressions, (10x - 3y) - (-3x + 10y) = 29 - 55.
13x - 13y = 29 - 55 = -26
Provided that the operation on equations (1) and (2) is the same, the given equation is 13x - 13y = -26.
We can see from the subtraction of equivalent representations that the solution for the
The solution for given equation, 13x - 13y = -26, is like the solution for given equation.
The reason why 13x - 13y = -26 has the same solution as the system of equations is that -3x + 10y is equal to 55, so we can subtract -3x + 10y from the left side of 10x - 3y = 29 and subtract 55 from the right side.
Thus, subtracting equivalent representations from each side of the an equation has no effect on the equation's solution.
To know more about system of equations, here
https://brainly.com/question/12526075
#SPJ9
find the intersection of the three sets: A={-2,7,8,11}, B={-2,7,11}, C={-2,8,11}
The intersection of three sets A,B and C is {₋2 , 11}.
Given set A = {₋2,7,8,11}
set B = {₋2,7,11}
set C = {₋2,8,11}
we need to find A∩B∩C.
The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.
To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.
we first find:
A∩B = {₋2,7,8,11} ∩ {₋2,7,11}
= {₋2,7,11}
then B ∩ C = {₋2,7,11} ∩ {₋2,8,11}
= {₋2 , 11}
now (A∩B) ∩ (B∩C) = {₋2,7,11} ∩ {₋2 , 11}
= {₋2 , 11}
hence we get the intersection of three sets as {₋2 , 11}
Learn more about Sets here:
brainly.com/question/2099071
#SPJ9
A.)6.5 ft²
B.)13 ft2
C.)78 ft²
D.)156 ft2
The given triangle is 6.5 ft2.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The given triangle can be redraw as
Area of the rectangle is (39/2) × 48 (in)2 = 936 in2
1 ft = 12in
1/12 ft = 1in
(in)2 = (1/12)2 (ft)2
= 1/144 (ft)2
936 (in)2 = 936 × 1/144 (ft)2
=6.5 (ft)2
Hence, the given triangle is 6.5 ft2.
To learn more about similar triangles visit:
brainly.com/question/11515181
#SPJ9
Four decimal fractions that are smaller than 0.5
Answer: 0.4<0.5
Step-by-step explanation:
PLEASEEEEKKEJES HELPPPPPPPPO :)))
Answer:You have it right I think
2.46*10^6
Step-by-step explanation:
Because you move the decimal point over 6 spots which gives you the 10 to the sixth.
The salary for a groun of executives was listed as follows: 18 at $50,000; 10 at $60,000; 8 at $75,000; 2 at $90,000; and 2 at $10,000. What is the average salary?
Answer:
The average salary is $57,500
Step-by-step explanation:
You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2
To find the total salaries"
18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000
2300000/40 = 57,500
You are helping a friend with her flower garden. She decides to add some clematis
vines, rose bushes, and peony plants to her garden. The price of a clematis vine is $3
more than twice a peony plant. The price of a rose bush is $5 more than a clematis
vine. She decides to buy 3 clematis plants, 4 rose bushes and 2 peony plants for a total
of $233.
Write a system of three linear equations in three variables to represent this situation.
The price of a clematis vine, rose bush, and peony plant is given by a set of three linear equations with three variables: 29, 14, 13.
What do mathematical linear equations mean?A linear equation is one that has a degree of 1 as its maximum value .In a linear equation, no variable has an exponent bigger than 1, thus.. A linear equation's graph will always be a straight line.
An algebraic equation known as a linear equation has an exponent of 1 for each term, and when it is graphed, it always yields a straight line.
According to given data;
let c is price of clematis vine
let r is price of rose
P is price of peony plants.
bush
c=2p+3
r=c+5+
=3c + 4r+ 2p = 233
b) putting(1) in 2
a 2p+ 3 + 5 2 p +8 -9 putting(1) and (4)in 3
3(2p+3)+4(2p+8) + 2 p² 233
2
6p+9+8p+16+2p = 233
16p=25=233
16 p= 233-25
16p = 208
p=208÷13
p= 13
putting value of p in (1)and(4)
c= 2 p +3
=2X13+3
C = 29
r= 2p+8
=2×13+8
=34
price of clematis vines =29
rose bush = 34.
peony plants = 13.
To know more about Linear equation visit;
https://brainly.com/question/28590410
#SPJ9
Use the given equation to determine if the points in the brackets are on the graph
of the line determine by the equation 4x- 3y=-6
{(0,2),(1,3),(4,7),(6,10)}
The points in the brackets are on the graph are (0, 2) and (6, 10)
How to determine if the points in the brackets are on the graph?The equation of the line is given as
4x - 3y = -6
The points are given as:
{(0,2),(1,3),(4,7),(6,10)}
Rewrite as
(x, y) = {(0,2),(1,3),(4,7),(6,10)}
Next, we substitute the x and y values in the equation 4x - 3y = -6
So, we have
(0, 2):
4(0) - 3(2) = -6
-6 = -6 ---- true
(1, 3):
4(1) - 3(3) = -6
-5 = -6 ---- false
(4, 7):
4(4) - 3(7) = -6
-5 = -6 ---- false
(6, 10):
4(6) - 3(10) = -6
-6 = -6 ---- true
Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)
Read more about linear equations at:
https://brainly.com/question/2226590
#SPJ1
Two trains leave stations 240 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80
miles per hour. How long will it take for the two trains to meet?
Answer: get a verified 340
Step-by-step explanation:
The tallest building in the world is the Burj Khalifa tower in Dubai in the United Arab Emirates2. The elevator within the tower descends at a rate of 33 feet per second.3
Suppose you get on the elevator at the observation deck. After
10 seconds, you look at the display and see that you are now
1,490 feet above ground. Use the point-slope formula to find the linear equation for this situation. Let H(t) represent the height of the elevator above the ground t seconds after the elevator begins to descend.
The linear equation to calculate the height is H(t)=33t.
Given that the elevator descends at the speed of 33 feet/second.
If a person gets on the elevator at the observer deck and after 10 seconds he finds himself at 1490 feet above the ground then height descended in 10 seconds= 33×10
= 330 feet
The height of the observer deck from the ground = 1490+330
= 1820 feet
The required equation to calculate the height of above the ground H(t)=33t.
We can calculate the height of the elevator at any instant using the above expression.
To learn more about speed, distance visit the link:
https://brainly.com/question/28224010
#SPJ9
Differentiate the function using chain rule
Find the volume of the solid.
Answer:
15.75
Step-by-step explanation:
1/2 * b*h*l
1/2 * 4.5 * 3.5 * 2
Answer:
10.5
Step-by-step explanation:
Firstly, you must multiply the length and width of the rectangular base to get its area.
Then, you certainly must multiply the base area with the height of the pyramid.
Last but not least, divide the result from step 2 by three, and you will get the volume of a rectangular pyramid.
Solve for x.
z=9(x+2)
Answer:
Step-by-step explanation:
z=9(x+2)
z=9x+18
Subtract 18 from both sides
z-18=9x+18-18
z-18=9x
Divide both sides by 9
z-18/9 =x
Therefore
X= z-18/9
13 X 3
vrcubdavbytayvtcecgvfgdcvfcevfd6bdcb7dvfb7svfb7gbx7bgbr
Answer:
39
Step-by-step explanation:
1x3=3 9x3=9 so together 39
The Morris family rented
boat over Labor Day weekend. The boat uses an average of 2 gallons of gas per hour
when it is pulling water skiers and 1 gallon per hour when not pulling water-skiers. The gas for the boat costs $2.25
per gallon How much money is spent on gas per hour when the boat is pulling water-skiers if the Marris family only
water skied for 2 hours?
The total amount spent on gas is $9.
How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.
In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.
The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour
2 x 3 x $2.25 = $9
To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ1
Answer:
Step-by-step explanation:
The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:
Can someone explain how to find EF? AKA #3
The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
We are given a triangle EFG.
In this triangle, we can see that:
∠ E = ∠ F = 23°
Now, we know that the sides opposite to the equal angles are also equal.
So, the side opposite to angle E is GF
And the side opposite to angle F is EF.
This means that EF will be equal to GF.
EF = GF
Now, we are also given that GF = 18 inches.
So, EF will also be:
EF = 18 inches.
Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.
Learn more about angles here:
https://brainly.com/question/25716982
#SPJ9
A cell phone provider charges a monthly fee of $20 dollars and also charges customers $0.05 per text message. The function C (t) = 0.05t+ 20 represents the cost C, per month based on t text messages in a month.
Which best describes the domain of the function?
- All real numbers
-All real numbers that are multiples of 0.05.
-all whole numbers
-all whole numbers from 0 to 20
The best description of the domain of the function is (c) all whole numbers
How to determine which best describes the domain of the function?The function is given as
C(t) = 0.05t + 20
The input variable of the above function is t
t represents the number of text messages
The number of text messages cannot be negative
Hence, the best description of the domain of the function is (c) all whole numbers
Read more about domain at:
https://brainly.com/question/2264373
#SPJ1
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.
Answer:
Step-by-step explanation:
Discussion
The numbers on each die are 1 to 6.
They are all equally likely to turn up. There are 36 possibilities in all 6*6
So getting a 10 can be done in 3 ways.
6 + 4 = 10
4 + 6 = 10
5 + 5 = 10
You can't get 10 any other way.
So of the 36 ways of throwing 2 dice, only 3 will work.
Answer
P(10)= 3/36 = 1/12 = 0.0833333...
In the figure below, m1= 35° and m/2 = 27°.
Find mTSW.
62°
A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"
∠1+∠2 = 35° +27°
=62°
To learn more about lines and angles, refer to https://brainly.com/question/25716982
#SPJ9
A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
learn more about percentage here :
https://brainly.com/question/24159063
#SPJ4
At a concession stand, one hot dog and one hamburger cost $3.75 ; one hot dog and cost $12.25 . Find the cost of one hot dog and the cost of one hamburger .
The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.
How to calculate the information?Let hotdogs = h
Let hamburger = x
The expression will be:
h + x = 3.25
h + 7x = 12.25
Subtract the functions
6x = 9
x = 1.5
Therefore, hot dogs will be:
= 3.25 - 1.5
= 1.75
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.