The value of gof(-3) is 1.
How are composite functions defined and what are they?
When two functions, f and g, are combined to produce a new function, h, such that h(x) = g(f(x)), this is known as composition in mathematics. In this instance, the function of x is being applied to the function of g. So, in essence, a function is an application of the result of another function.
Mathematically, the composition of g and h indicated by hog: A→C provided by hog(x) = h(g(x)) for every x ∈ A; let g: A→B and h: B→C signify two functions.
Given, f(x) = 2x - 1 and g(x) = 1
Thus, following the available literature,
gof(x) = g(f(x)) = g(2x - 1) = 1
Therefore, gof(-3) = 1 (∵ No variable is present in gof(x))
Therefore, the required value of gof(-3) is gof(-3)=1
To learn more about this, tap on the link below:
https://brainly.com/question/10687170
#SPJ13
Urgent pls
The distance
s
in meters covered by a particle in
t
s
e
c
o
n
d
s
is
s
=
3
2
t
2
-
3
t
.
Find its acceleration.
The acceleration of the particle is found as 3 m/s.
What is termed as the acceleration?Acceleration, also known as a vector quantity, is indeed the rate at which an object's velocity changes. The most obvious way for me to accelerate is to increase my speed from 30 to 40 miles per hour. However, unless I changed direction without shifting my speed, such as driving around a bend at a continuous 30 miles per hour, I would experience acceleration.For the given question,
The distance covered by the particle 's' is given by the equation;
s = (3/2)t² - 3t
Where t is the time taken in seconds.
Differentiate twice the equation will given the value of acceleration.
Differentiate once will given velocity.
v = 3t - 3
Differentiate again to get the acceleration.
a = 3
Thus, the acceleration of the particle is found as 3 m/s.
To know more about the acceleration, here
https://brainly.com/question/460763
#SPJ13
help me pleasee!!
thank you
Answer:
what she does (annoy, annoys) me a lot
A rectangular shaped parking lot is to have a perimeter of 656 yards if the width must be 82 yards because of a building code what will the length need to be
The length of the rectangular shaped parking lot will be: 246 yards.
What is the Perimeter of a Rectangular Shape?A rectangular shape has a width and a length. The perimeter of the rectangular shape is simply the sum of all its width and its length. The formula for the perimeter of the rectangular shape would therefore be:
Perimeter = 2(length + width).
Given the following:
Perimeter of the rectangular shaped parking lot = 656 yards
Width of the rectangular shaped parking lot = 82 yards
Length = x = ?
Plug in the values into the perimeter formula for a rectangular shape:
2(x + 82) = 656
Divide both sides by 2
2(x + 82)/2 = 656/2
x + 82 = 328
x + 82 - 82 = 328 - 82
x = 246
Length would need to be 246 yards.
Learn more about perimeter of rectangle on:
https://brainly.com/question/24571594
#SPJ1
Can someone help me with these probability questions it’s only a two parter?
Given:
The number of players on the basketball = 14 players.
The number of juniors =6 players.
The number of seniors = 8 players.
Coach Banet decided to choose three players.
Required:
A. We need to find different orders of the top three finishers.
B. We need to find the probability that the top three finishers will all be seniors.
Explanation:
A.
There is not important to choose in the order which players are the top three finishers.
Use combinations.
The number of students, n=14.
The number of the top three finishers, r =3.
[tex]nC_r=14C_3[/tex][tex]=\frac{14!}{3!(14-3)!}[/tex][tex]=\frac{14!}{3!\cdot11!}[/tex][tex]=364[/tex]Answer:
[tex]nC_r=\frac{14!}{3!\cdot11!}=364[/tex]B.
The number of seniors = 8 players.
The number of top-finishers =3.
[tex]8C_3=\frac{8!}{3!(8-3)!}=\frac{8!}{3!\cdot5!}=56[/tex]There are 56 different orders of top finishers that include all seniors.
[tex]The\text{ possible outcome=}14C_3[/tex][tex]T\text{he favorable outcome =}8C_3[/tex]The probability that the top three finishers will all be seniors.
[tex]P=\frac{8C_3}{14C_3}[/tex][tex]Use\text{ }14C_3=364,\text{ and }8C_3=56.[/tex][tex]P=\frac{56}{364}[/tex][tex]P=0.1538[/tex]Multiply by 100 to get a percentage.
[tex]P\text{ \%}=0.1538\times100[/tex][tex]P\text{ \%}=15.38\text{ \%}[/tex][tex]P\text{ \%}=15.4\text{ \%}[/tex]Answer:
There are 56 different orders of top finishers that include all seniors.
The probability that the top three finishers will all be seniors is 15.4 %
1)
B)
The number of juniors = 6 players.
The number of players in the group =3.
There is not important to choose in the order which players are selecting.
Use combinations.
[tex]6C_3=\frac{6!}{3!(6-3)!}=\frac{6!}{3!\cdot3!}=20[/tex]Answer:
Two terms represent the number of players that are all juniors.
[tex]6C_3\text{ }and\text{ }20[/tex]Need help with an explanation on how you got your answers!
Options B and D makes the equation true
Explanation:
The equation: 2x + 4y = 24
Using substitution, we will pick each of the points and replace them in the equation to determine which two options are true.
They would be true if the right hand side is equal to the left hand side
a) (x, y) = (2, -5)
2(2) + 4(-5) = 24
4 - 20 = 24
-16 = 24
left hand side is not equal to the right hand side
b) (x, y) = (0, 6)
2(0) + 4(6) = 24
0 + 24 = 24
24 = 24
left hand side is equal to the right hand side (true)
c) (x, y) = (0, 12)
2(0) + 4(12) = 24
0 +48 = 24
48 = 24
left hand side is not equal to the right hand side
d) (x, y) = (6, 3)
2(6) + 4(3) = 24
12 + 12 = 24
24 = 24
left hand side is equal to the right hand side (true)
Options B and D makes the equation true
The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 80 ft/sec?
5,152 feet
99.4 feet
71.8 feet
1.5 feet
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks he still owed his friend $90. Write and equation for L in terms of T representing the amount Jordan owes his friend after t weeks
Neishai jogs around the block four times every hour. What is the algebraic equation to express the function of the total number of times Neishai jogs around the block?A.4j = hB.j = 4hC.h = 4jD.4 = j + h
Let j be the number of times Neishai jogs in h hours.
It is given that Neishai jogs around the block 4 times every hour. This means that after 1 hour, she jogs 4 times. After 2 hours, she jogs:
[tex]2\times4=8\text{ times}[/tex]After 3 hours, she jogs:
[tex]3\times4=12\text{ times}[/tex]After h hours, she jogs:
[tex]h\times4=4h\text{ times}[/tex]Therefore, the number of times Neishai jogs around the block is given using the equation:
[tex]j=4h[/tex]OPTION B is the correct option.
The unit price for the 16 ounce package is approximately?
To find:
The unit price for the 16-ounce package.
Solution:
The price of a 16-ounce pack is $1.69. So, the rate of the package per ounce is given by:
[tex]\frac{1.69}{16}=0.106\text{ dollars per ounce}[/tex]Thus, the rate of the 16-ounce pack is 0.106 dollars per ounce.
Open Response Respond to the following question using pictures, numbers, and complete sentences! 2 points 2 - The response shows a complete understanding of the concept or task, logical reasoning and conclusions, and correa set up and/or computations. The response contains minor flaws in reasoning, neglects to address some uspect of the task, or contains a computational error. 0 - The response indicates no mathematical understanding of the concept or task, or if a student fails to respond to the item. 1 Front and back section tickets are available to a performance. Front section tickets are $45 and back section tickets are $25. There are 18 rows with 39 seats in each row in the front section, and 27 rows with 4 seats in each row in the back section. If of all the front row seats and 7 of all the back row seats are sold, how much is the total ticket sales. Show your work.
We have two sections tickets Front and Back, the information we have is:
Front section:
• Ticket price: $45
,• Seats: 18 rows with 39 seats each one: 18*39=702 seats
,• Seats sold: 5/6 of total seats: 5/6*702=585 seats.
Back section:
• Ticket price: $25
,• Seats: 27 rows with 4 seats each one: 27*4=108 seats
,• Seats sold: 7/9 of total seats: 7/9*108=84 seats
The total ticket sales is:
[tex]undefined[/tex]help I'm practicing heres the question
Step 1
All integers are rational numbers. All integers are subset of rational number.
Rational numbers are numbers that can be express as fraction
Inteers are both positive and negative natural numbers.
Therefore,
6/2 = 3 is an integer
-4.0 is a negative integer
-15/3 = -5 is a negative integer
7.5 is a rational number but not an integer.
Hence, 7.5 DOES NOT BELONG TO THE SUBSET OF INTEGERS
Please help! I've been stuck on thisGraphing tables of equivalent ratios
Given that the table have equivalent ratios, let's find the missing values.
To find the missing values, find the ratio:
[tex]k=\frac{y}{x}=\frac{15}{25}=0.6[/tex]Thus, we have:
[tex]undefined[/tex]The population of a small town increased from 25,056 people in 2000 to 36,720 and 2010 what is the percentage change in the population?
How do you write 1.5 × 10^2 in standard form?
Answer: 1.5 x 10 x 10 (I think)
Step-by-step explanation:
10^2 = 10 x 10
1.5 x 10 x 10
You do not need to line up the decimal points when subtracting we decimal numberstrue or false just tell me answer then explain
When adding or subtracting decimal numbers, you will have to line up the decimal points
Hence, the sta
Look at this set of ordered pairs:
(3, 14)
(20, 2)
(2,4)
(8, -15)
(1, -11)
(-9, 6)
Is this relation a function?
yes
no
Yes . The given relation is a function
{ (3, 14) (20, 2) (2,4) (8, -15) (1, -11) (-9, 6) } is a function.
What is a function?A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range.Remember that a relation can map multiple inputs to multiple outputs. When each input is mapped to exactly one output, it is a function. A subset of the set of all relations is the set of all functions. This means that while all functions are relations, not all relations are functions.That is to say, A function is a relation from a set X to a set Y in which each element of X is related to exactly one element of Y. In other words, given an element x in X, there is only one element in Y to which x is related.Here { (3, 14) (20, 2) (2,4) (8, -15) (1, -11) (-9, 6) }
In the given relation each value x is related to only one element in y.
So the given relation is a function.
To learn more about relation refer to :
https://brainly.com/question/26098895
#SPJ13
what is fact that is less than 0.1
Answer:
0.09, Because we have the tenths, hundredths, and thousandths with possible others.
a restaurant bill before tax was $59.23 Megan wants to leave a 30% tip for exceptional Services. estimate how much she should leave to the nearest dollar.
The restaurant bill = $59.23
Megan wants to leave 30% as a tip
so, the tip = 30% of 59.23 = 0.3 x 59.23 = 17.769
So, He will leave = 59.23 + 17.769 = 76.999
so, he will leave $77 to the nearest dollar
Question 10 of 10
What is the complete factorization of the polynomial below?
x3-2x²+x-2
O A. (x-2)(x+ 1)(x-1)
OB. (x-2)(x-1)(x - 1)
OC. (x+2)(x-1)(x-1)
OD. (x+2)(x + 1)(x-1)
The complete factorization of x3-2x²+x-2 is (x+2)(x+1)(x-1)
Here is the step-by-step solution.
[tex]x^{3} -2x^{2} +x-2\\\\x^{2} (x-2) -1 (x-2)\\\\(x^{2} -1) (x-2)\\(x+2)(x-1)(x+1)[/tex]
The complete factorization of the polynomial equation is
OD. (x+2)(x + 1)(x-1).
To know more about polynomial equations refer to,
https://brainly.com/question/12374547
3. Sandra signed up for Workout Jazz during the spring special. Which equation represents the proportional relationship?
A y = 16.99x
B y = 12x
C y= 16.99x + 12
D y= 12x + 16.99
The equation that represents the proportional relationship is;
A: y = 16.99x
What is the Proportional Relationship?The general equation for a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept which is the point where x is 0
Now, we are told that Sandra signed up for a workout which had a cost of getting 12 months for just $16.99 per month.
What this means is that if she signs up right now, it is a window of opportunity to get 12 months at probably a discount.
Read more about Proportional Relationship at; https://brainly.com/question/12242745
#SPJ1
Complete question is;
Sandra signed up for Workout Jazz during the spring special. Which equation represents the proportional relationship? Sign up now and get 12 months for just $16.99 per month
A y = 16.99x
B y = 12x
C y= 16.99x + 12
D y= 12x + 16.99
Given the following functions, find and simplify (ƒ · g)(x). Do not include "(f g)(x)=" in your answer. ƒ(x) = x + 1 g(x) = 3x - 3
Answer of this composite function is 3x-2.
What is composite function?A composite function is a function that is written inside another function. The process of creating a function entails replacing one function with another. The function g takes x to x2 + 1, and the function h then takes x2 +1to(x2 + 1)17. Combining two (or more) functions in this manner is known as composing the functions, and the resulting function is known as a composite function. A composite function is one that is written inside another function. A function is composed by substituting one function for another. For example, f [g (x)] is the composite function of f (x) and g. (x). The composite function f [g (x)] is written as "f of g of x."(ƒ · g)(x) is a composite function and it has meaning x = g(x) should be substituted in f(x).
Given ƒ(x) = x + 1, g(x) = 3x - 3
so, f(x)=f(g(x))=f(3x-3)= 3x-3+1= 3x-2
To learn more about the composite function, refers to:
brainly.com/question/20379727
#SPJ9
Question 1-13
The table below shows the high temperatures for Barrow, Alaska, for three days.
High Temperatures for Barrow, AK
Temperature (°F)
-14
-10
-3
Based on the data in the table, which statement about the temperatures is correct?
Day
Monday
Tuesday
Wednesday
O
Monday was the warmest day because | -14° is farther from zero than | -3°| or
| -10°.
O Wednesday was colder than Monday because | -3° is closer to zero than | -14°.
O Tuesday was colder than Wednesday because | -10° is farther from zero than | -3°|.
O Tuesday was warmer than Wednesday because | -10° is closer to zero than | -3°.
Third option is correct, Tuesday was colder than Wednesday because -10° is farther from zero than -3°.
What is inequality?Inequality is used to compare between two values. The signs of inequality are [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex]
< is used to check whether one value is less than other value or not
> is used to check whether one value is greater than other value or not
[tex]\leq[/tex] is used to check whether one value is less than or equal to other value or not
[tex]\geq[/tex] is used to check whether one value is greater than or equal to other value or not
Temperature on monday = -14
Temperature on Tuesday = -10
Temperature on Wednesday = -3
-14 < -10 < -3
So Monday was the coldest day
Tuesday was warmer than monday but colder than wednesday
Wednesday was the warmest day.
As -10° is farther from zero than -3°, Tuesday was colder than Wednesday.
So third option is correct
To learn more about inequality, refer to the link:
https://brainly.com/question/11613554
#SPJ13
Which of the following is a Pythagorean Triple?
A 2,3,4
B 5,6,7
C 3,4,5
D 8, 16, 17
Answer:
C) 3, 4, 5
Step-by-step explanation:
The rule for Pythagorean Triple is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
3, 4, 5 is one of the most commonly known triple and it proves the triple rule since
[tex] { 3}^{2} + {4}^{2} = {5}^{2} [/tex]
shnshshshshshwhwhwhwhw
Question:
Solution:
Consider the following system of equations:
[tex]y=x^2-3x-8[/tex][tex]y\text{ = 3x+8}[/tex]then, the above system of the equation has a solution if both equations are equal, that is:
[tex]x^2-3x-8\text{ = 3x+8}[/tex]this is equivalent to say:
[tex]x^2-3x\text{ + 3x -8 +8 = 0}[/tex]this is equivalent to:
[tex]x^2\text{ = 0}[/tex]then
[tex]x\text{ = 0}[/tex]now, replacing the above value in the second equation, we obtain:
[tex]y\text{ = 3(0)+8}=\text{ 0+8 = 8}[/tex]thus:
[tex]y\text{ = 8}[/tex]then, we can conclude that the correct answer is:
[tex]x\text{ = 0 }[/tex]and
[tex]y\text{ = 8}[/tex]that is 0 and 8.Renata is purchasing a condominium for $ 125,000. She wants to put down a down payment of 20%. Select all the true statements.
The proportion that represents the down payment is 20100=125,000
20
100
=
125
,
000
x
.
The down payment is $ 25,000
25
,
000
.
The proportion that represents the down payment is 20100=125,000
20
100
=
x
125
,
000
.
The down payment is $ 50,000
50
,
000
.
The down payment is 15
1
5
of the cost of the house.
The proportion that represents the down payment is 20% or 0.2 of the condominium's value.
2. The down payment is $25,000.
What is the down payment?The down payment is the proportion required to secure a purchase transaction.
The down payment is an upfront cost that the purchaser settles in cash before being granted a long-term credit (loan or mortgage).
The purpose of a down payment is to reassure the lender of the borrower's ability to repay the loan.
To compute the down payment, apply the down payment percentage or proportion to the value of the asset.
The cost of the condominium = $125,000
Down payment = 20%
20% = $25,000 ($125,000 x 20%)
Mortgage loan = $100,000 ($125,000 - $25,000)
Thus, in this situation, the down payment is 20% of the cost of the property.
Learn more about the down payment at https://brainly.com/question/1698287
#SPJ1
Subtract -b + 3 from -11b - 4
Answer:
-10b - 7
Step-by-step explanation:
-11b - 4 - (-b + 3)
-11b - 4 + b - 3
-10b - 7
I hope this helps!
Answer:
10b-1
Step-by-step explanation:
Step 1 :write out what the question means
-b+3-( - 11b - 4)
Step 2:multiply and collect like terms
-b+3+11b+4
11b-b+3+4=10b+7
The density of a certain material is such that it weighs 9 pounds per cubic foot of volume. Express this density in grams per quart. Round your answer to the nearest whole number.
We need to know conversion of units to solve the given problem. The density of the material in grams per quart is 136.35 grams per quart.
We have been given the density of a certain material in pounds per cubic foot of volume. The density is 9 pounds per cubic foot of volume. We need to convert pounds per cubic foot to grams per quart, we need to separately convert pounds to grams and convert cubic foot to quart. Since it is density so we need to divide the value of pound in gram by the value of one cubic foot in quart and multiply the density to this value to get the desired result.
1 pound=453.592 grams
1 cubic foot= 29.94 quart
9 pounds per cubic foot= 9x 453.592/29.94=136.35 grams per quart
Therefore the density of the material in grams per quart is 136.35 grams per quart.
Learn more about conversion of units here:
https://brainly.com/question/2725413
#SPJ1
According to a map Vincent lives 32 km from Frank. What is the distance in miles?Distance Equivalent1km=0.62 miles
Let's begin by listing out the information given to us:
distance between Vincent & Frank = 32km
distance equivalent is given by 1km=0.62 miles
We will convert the distance from km to miles using the conversion factor:
[tex]\begin{gathered} 1km=0.62miles \\ 32km=x \\ \text{Cross multiply, we have:} \\ x\cdot1km=32km\cdot0.62miles \\ \text{Divide both sides by 1km, we have:} \\ \frac{x\cdot1km}{1km}=\frac{32km\cdot0.62miles}{1km} \\ x=32\cdot0.62miles=19.84miles \\ x=19.84miles \end{gathered}[/tex]Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and − (−1 1/2 ). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first.
Points:
3
2.25
opposite of 4 = - 4
[tex]-(-1\frac{1}{2})=1.5[/tex]the opposite of a number is the result of that number multiply by -1
The, the opposite of 4 is (4(-1))= - 4
To put the points in a number line, you have to organize the numbers from less to greatest
The mixed numer can be writen also as: negative One and 1/2 is equal to - -1.5, negative per negative is +
[tex]-(-1\frac{1}{2})=-(-1.5)=1,5[/tex]Then you have the next order from less to greatest:
-4
-(-1 1/2)
2.25
3
To put that point in a number line you need to choose a scale to tick marks: As you have decimal number, the scale could be 0.5.
You have the next number line:
Then the point will be:
Between each interger you have a tick mark in the middle: Betwwen 0 and 1 you have 0.5, between 1 and 2 you have 1.5, etc.
Exercice 1
Soit f(x)=−x³ +3x²+9x+6une fonction définie et dérivable sur [-10:10].
Déterminer f'(x) en détaillant vos calculs ?
you. aren't.
alone..........
