f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.
What is an inverse in a function?The inverse function of a function f, also known as the inverse of f, is a mathematical function that reverses the action of f. f^{-1} is used to indicate whether the inverse of f exists if and only if f is a bijective function.For a function f:X—>Y, its inverse f^{-1}:Y—>X admits an explicit description,
it sends each element y∈Y to the special element x∈X
such that, f(x)=y.
Take the real-valued function of a real variable given by f(x) = 5x 7 as an illustration.F can be compared to the function that multiplies its input by 5 before taking 7 out of the outcome. To reverse this, one multiplies the input by 7 and divides the outcome by 5.Hence, f(x) and g(x) are not inverses because f(g(x)) and g(f(x)) do not both equal x.
To learn more about inverse functions refer to:
https://brainly.com/question/3831584
#SPJ1
75 percent of what is 105
√3 (√2 -1 ) + √2 (1-√3)
Answer:
√2-√3
Step-by-step explanation:
√3 (√2 -1 ) + √2 (1-√3)
= √3 x √2 - √3 + √2 - √2 x √3
= √6 - √3 + √2 - √6
= √2 - √3
John ha 2,700 eed of corn to plant in 9 row on hi farm. Each row will have the ame number of eed. Part A
Which baic fact can John ue to find out how many eed will be planted in each row?
A. 9
÷
3
=
3
B. 27
÷
9
=
4
C. 27
÷
9
=
3
D. 270
÷
9
=
30
Using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that: Total seeds are 2700 and the total rows are 9
If there are the same amount of seeds in each row.
Following that, the number of seeds will be put in each row.
= (Total seeds) ÷ (Total rows)
= 2700÷9
= 300
Therefore, using division we know that (D) 2700÷9=300 is the basic fact using which John will get t know how many seeds will be planted in a row.
Know more about division here:
https://brainly.com/question/25289437
#SPJ4
Correct question:
John has 2,700 seeds of corn to plant in 9 rows on his farm. Each row will have the same number of seeds. Part A
Which basic fact can John use to find out how many seeds will be planted in each row?
A. 9÷3=3
B. 27÷9=4
C. 27÷9=3
D. 2700÷9=300
When Kelsey is not on the moving sidewalk, she can walk the length of the sidewalk in 3 minutes. If she stands on the sidewalk as it moves, she can travel the length in 2 minutes. If Kelsey walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed.
Answer:
1.2 minutes
Step-by-step explanation:
Kelsey moves 1/3 length per minute. The sidewalk moves 1/2 length per minute. Walking on the sidewalk, Kelsey moves (1/3+1/2) = 5/6 lengths per minute, or 6/5 minutes per length.
So it takes Kelsey 1 1/5 minutes to walk the length on the moving sidewalk.
identify the domain of the graphed function
[-3,6)
(-3,-1)U(-1,2)U(2,6)
(-3,2)U(2,6]
[-3,-1)U(-1,6)
Answer: [tex][-3,-1) \cup (-1, 6)[/tex]
Step-by-step explanation:
The domain of a function is the set of [tex]x[/tex]-values.
A hole means that the value is not included in the domain, whereas a filled circle means the value is included in the domain.
Thus, the domain is [tex][-3,-1) \cup (-1, 6)[/tex].
please help 30 points, giving brainliest!!! ( DO ONLY 5-8)
picture is attached :) ty!!
Answer:
5/ Slope is 0
6/ Slope is 4/1
7/ Slope is -4/2 = -2
8/ Slope is undefined
Step-by-step explanation:
5/ Slope is 0 when it goes straight to the right
6/ We see that the y goes up 4, x over 1, so the slope is 4/1
7/ We see that the y goes down by 4, and x over by 2, so the slope is -2
8/ Slope is undefined when it goes straight up!
If you can please give me a Brainliest, thank you!
1. Consider this system of linear equations: -
y=4/5 x-3
y=4/5 x+1
a. Without graphing, determine how many solutions you would expect this system of equations to have. Explain your reasoning.
b. Try solving the system of equations algebraically and describe the result that you get. Does it match your prediction
The system of linear equations have no solution
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.
In the problem, given the system of linear equations are
y = 4/5x - 3 ...eq(i)
y = 4/5x + 1 ...eq(ii)
a) Since there are two unknown variables(x, y) the number of solutions expected is 2.
b)
From equation (i)
y = 4/5x - 3
Put eq(i) into equ(ii)
4/5x - 3 = 4/5x + 1
0 = 4
There's no solution for x and y
In the calculation, there's no solution for both x and y because the variables in both equation are equal to one another and hence cancel out.
Learn more on system of linear equation here;
https://brainly.com/question/13729904
#SPJ1
......... i need help past due
Answer:
3,2,4
The fastest restaurant for service is the second choice. It takes 2 minutes to service each customer.
Step-by-step explanation:
27/9 = 3 minutes per customer
8/4 = 2 minutes per customer
32/8 = 4 minutes per customer
ANSWER ASAP PLEASE
Little Susie is standing at the top of a lighthouse. She is 96 feet above the ocean. She tosses a ball into the air. The height, h, of the ball after x seconds is given by
h = -16t + 64t + 96 . (there is no t^2 on my question but i think -16 is meant to be t^2 because it's quadratics... PLEASE help...)
a. What is the ball's height after 0.5 seconds?
b. How many seconds does it take to reach maximum height? What is the maximum height?
c. How many seconds does it take for the ball to land in the ocean?
Use complete sentences when explaining or justifying your solutions. Neatly show all algebra work, and upload any pictures or files that support your work.
When t=2+√110/4, the ball will be 50 feet height above the ocean.
What is height?Height is the measurement of someone or something from the top to toe or the base to head.height always refers to something is mesured either its high or low.
As per the given question
Because h=-16t^2+64t+96
So when h = 50
It means -16t^2+64t+96 =50
-16t^2+64+46=0
8t^2-32t-23=0
{∆=b^2-4ac,x= -b+√∆/2a}
So, ∆=(-32)^-4×8×(-23)=1760>0
So t =2- √110/4 <0
Thus tha answer is t = 2+√110/4
To know more about height click-
https://brainly.com/question/73194
#SPJ1
[tex]6+2n=-4(N-1)+6N[/tex]
Answer:
0=−2
Step-by-step explanation:
50 points for helping :)
The line parallel to the given line 2x+2y=-12 is also -1.
Define slope.
Slope of a line refers to the measure of the steepness and the direction of a line.
Illustrate y= m x+ c.
y = mx + c refers to an equation of a line having a gradient of m and a y-intercept of c. This equation is often referred to as the slope-intercept form of the equation of a line.
We know that,
The general equation of a line is y=m x+ c,
where m = slope and b = y-intercept, c is a constant
Now, the equation of the given line is,
2x+2y=-12
⇒x + y=-6
Now expressing the equation in the form of y=m x+ c
So, y=-6-x
Further, on rearranging we get y= (-1) x-6
y = mx + c
So, according to the equation,on comparing we get
m=-1 and c=-6
On comparing, the slope of the given line is -1.
Since, 'The slopes of two parallel line is always equal'.
Thus, the line parallel to the given line is also -1.
Leran more about the parallel line slope concept by :
https://brainly.com/question/26172639
#SPJ1
Answer: 2x + 2y = -1
Step-by-step explanation:
GEOMETRY HELP NEEDED ASAP
Answer:
It would be the first and the third one.
Step-by-step explanation:
# 5: Nina is an artist who sells paintings online. She charges
the same amount to ship each painting.
• When she sells 4 paintings, she charges a total of $9.96 for
shipping.
• When she sells 8 paintings, she charges a total of $19.92 for
shipping.
How much more does Nina charge for shipping 20 paintings
than for shipping 16 paintings?
A. $2.49 B. $9.96 C. $19.92 D. $29.96
Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings.
What is selling cost?
The overall expense expended by a monopolistically competitive corporation to set its product apart from those of its rivals is referred to as the selling cost. For instance, a company's advertising costs are included in the cost of selling the product.
Given that,
She sells 4 paintings she apply a charge $ 9.96. .....(i)
Again she sells 8 paintings she apply a charge $19.92. ....(ii)
Multiplying statement (i) by 5
She sells 20 paintings she apply a charge $49.8....(iii)
Multiplying statement (ii) by 2
She sells 16 paintings she apply a charge $39.84....(iv)
Subtract (iv) by (iii)
The difference between shipping 20 paintings to shipping 16 paintings is $(49.8 - 39.84) = $ 9.96
To learn more about statement, click on below link:
https://brainly.com/question/28438707
#SPJ1
use rounding or compatible numbers to estimate each product or quotient.
5 x 2 3/5
a. about 10
b. about 10 3/5
c. about 15
d. about 20
im guessing b
Answer: c.
Step-by-step explanation:
I used rounding: 3 is closer to 2 3/5 than 2 and 5 * 3 is 15, so the answer is about 15.
An event facility uses 16 servers to work an event with 400 guests. Which rate best represents the relationship between servers and guests at the event facility?
Answer:
1:25 or 1/25
Step-by-step explanation:
Rate=16/400
1/25 or 1:25
Answer: 16 to 400. This will be the answer I believe.
A movie theater sold 3 child tickets the other 47 tickets it sold were adult tickets what is the ratio of the number of adult tickets to the total number tickets
Answer:47/50
Step-by-step explanation:
47+3=50
47 adult tickets sold
47/50
Use identities,evaluate 496X404
Answer: 200384X 403 or 496 X 404
Step-by-step explanation: hope this helped
Find the volume of the following solid ( show working out)
Answer:
1968
Step-by-step explanation:
By finding the volume of the 'missing piecce' and subtracting that from the volume of the figure if it was a prism we find that the answer is 1968
(14 x 16 x 12) - (10 x 6 x 12) = 1968
v v
2688 -- 720 = 1968
Hope this helps!!
8) Three hundred students were surveyed about their favorite subject. The results are st
the table below.
How many more students prefer science than math?
The students that prefer science than Maths are 27
How many more students prefer science than math?From the question, we have the following parameters that can be used in our computation:
Math = 24
Science = 33
Total proportion = 100
The additional number of students that prefer science than Maths is calculated as
Additional = (Science - Maths)/Total proportion * Number of students
So, we have
Additional = (33 - 24)/100 * 300
Evaluate
Additional = 27
Hence, the number of students is 27
Read more about proportions at
https://brainly.com/question/16828793
#SPJ1
Identify the hypothesis and conclusion of the conditional statement.
A prism with bases that are regular polygons is a regular prism
Hypothesis:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Conclusion:
A prism based that are regular polygons
It is a regular prism
It is not a regular prism
Re-write the equation in if-then form:
If a prism has bases that are regular polygons, then it is not a regular prism.
If a prism has bases that are regular polygons, then it is a regular prism.
If it is a regular prism, then it is not a prism that has bases that are regular polygons
If it is a regular prism, then it is a prism that has bases that are regular polygons.
The hypothesis is A prism base that are regular polygons
Conclusion: It is a regular prism
If-then form: If a prism has bases that are regular polygons, then it is a regular prism
What is if then statement in math?An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.
As indicated, this is p → q. Read this: if p, then q. If the hypothesis is correct but the conclusion is untrue, a conditional statement is false.
The conditional statement is of two parts the hypothesis which is p and the conclusion which is q
Learn more about conditional statement at:
https://brainly.com/question/27839142
#SPJ1
(a) The area of a rectangular parking lot is 6279 m². If the length of the parking lot is 91 m, what is its width? Width of the parking lot:
Answer:
The width of the parking is 69 meters
Step-by-step explanation:
Rectangle area = L*W
6279 = 91*W
Widht = 6279/91
W = 69 m
which function has the same domain as
[tex]y = 2 \sqrt{x} [/tex]
Both have a domain of [tex][0, \infty)[/tex] which in other words, is the set of nonnegative real numbers. I recommend using a graphing calculator to verify both of these functions have the same domain.
The reason for this is because we need to avoid negative numbers under the square root. So it leads us to [tex]\text{x} \ge 0[/tex]
T (6,2) T’ (9,3 find the scale factor was used in the dilation shown
The scale factor of the transformation is 1.5
What is the scale factor of the dilationFrom the question, we have the following parameters that can be used in our computation:
Point T (6,2) T’ (9,3)
Also, see attachment for the missing graph in the question
This means that
The scale factor of the transformation = T'/T
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (9, 3)/(6, 2)
Evaluate
Scale factor = 1.5
Hence, the scale factor is 1.5
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
What is the solution of the linear-quadratic system of equations? { y = x 2 + 5 x − 3 y − x = 2
The two solutions for the system of equations:
y = x^2+ 5x - 3
y - x = 2
Are:
(-5, -7) and (1, -1)
How to solve the system of equations?Here we have the following system of equations:
y = x^2+ 5x - 3
y - x = 2
We can replace the first equation into the second one to get:
(x^2+ 5x - 3) - x = 2
x^2 + 4x - 3 = 2
x^2 + 4x - 3 - 2 = 0
x^2 + 4x - 5 = 0
Using the quadratic formula, we will get the solutions:
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*1*-5} }{2} \\\\x = \frac{-4 \pm 6}{2}[/tex]
The two solutions are:
x = (-4 - 6)/2 = -5
x = (-4 + 6)/2 = 1
To find the values of y, we can evaluate the linear equation:
when x = -5
y - (-5) = -2
y + 5 = -2
y = -2 - 5 = -7
So one solution is (-5, -7)
when x = 1
y - 1 = -2
y = -2 + 1 = -1
The other solution is (1, -1)
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Use the Rule of 72 to figure out how long it will take a $1,000 deposit to double at 7% interest. Following this rule will give you the number of years it will take for your money to double.
Using the formula of simple interest, the time period it takes to double the principal is approximately 14.29 years
Simple InterestSimple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
The formula is given as
S.I = P(1 + rt)
S.I = Simple InterestP = Principalr = rate t = timeSubstituting the values into the simple interest formula
S.I = 1000(1 + 0.07 * t)
However, we are to calculate the time it takes to double the money
2000 = 1000(1 + 0.07 * t)
2 = 1 + 0.07t
0.07t = 2 - 1
t = 1 / 0.07
t = 14.29 years
Learn more on simple interest here;
https://brainly.com/question/3575751
#SPJ1
High school graduates are surveyed about their futures. The results are shown in the tree diagram.
(Use the tree diagram to calculate the percentage of all graduates who plan to enter the workforce and reside locally. Show all necessary calculations.)
ANSWER: the people residing locally that are attending collage is
70% and on the bottom it is 40% and the people entering the work force it is 30%
Step-by-step explanation:
GIVE BRAINLIEST
The percentage of all graduates who plan to enter the workforce and reside locally is 15%.
According to the tree diagram, we need to calculate the percentage of high school graduates who plan to enter the workforce and reside locally. To calculate this, we need to follow the branches in the tree diagram. Let's start from the top:
1. The first branch shows that 30% of high school graduates plan to enter the workforce.
2. From those 30%, 50% plan to reside locally.
3. To calculate the percentage of all graduates who plan to enter the workforce and reside locally, we need to multiply the percentages from steps 1 and 2 together: 30% * 50% = 0.30 * 0.50 = 0.15 or 15%.
Therefore, the percentage of all graduates who plan to enter the workforce and reside locally is 15%.
To know more about percentage here
https://brainly.com/question/24877689
#SPJ2
This Venn Diagram represents the Science subjects studied by students.
Students
Physics
Biology
CO
6
7
6
2
3
8
4
5
Chemistry
What is the probability that a student, chosen at random,
studies Physics or Chemistry or both?
The probability that a student chosen at random studies physics and chemistry or both is 35/41 = 0.85
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
What is the formula for probability?The formula for probability states that the possibility of an event happening, or P(E), equals the ratio of the number of favorable outcomes to the number of total outcomes. Mathematically, it looks like this: P(E) = favorable outcomes/total outcomes.
The Venn diagram shows:
There are 2 students studying both biology and physics.
Six students study biology and chemistry together.
There are 4 students who study physics and chemistry.
There are 5 students who just study physics.
There are 7 students who just study biology.
There are 8 students who just study chemistry.
There are 6 students that study none.
As a result, there are a total of 41 students, which is equal to 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 students.
There are 21 students who study chemistry, which is equal to 8 + 6 + 3 + 4 students.
The number of students that studies physics is = 14
The number of students that studies chemistry is = 21
Probability = number of favorable outcomes / total number of outcomes
To learn more about probability visit:
https://brainly.com/question/30034780
#SPJ1
Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5. NEED HELP PLS
The graph for the linear equation y = -2x + 5 is plotted and shown in the image attached below.
How to Graph an Equation?If we are given an equation of a line that is expressed in slope-intercept form as y = mx + b, it means that the graph will have a slope = rise / run = the value of m, while it would cut across the y-axis at b, that is the y-intercept.
Given the equation in slope-intercept form as y = -2x + 5, it means that the graph will have a slope that has a ratio of the rise to the run as -2, while the line will intercept the y-axis at y = 5.
Therefore, the graph in the image attached below shows the equation, y = -2x + 5.
Learn more about the graph of linear equation on:
https://brainly.com/question/4074386
#SPJ1
Factor the expression below. x 2 − 12 x + 36 A. (x + 6)(x + 6) B. (x − 6)(x + 6) C. 6(x2 − x + 6) D. (x − 6)(x − 6)
Answer:
D) = (x - 6 )(x - 6)
Step-by-step explanation:
x^2 - 12x + 36
= x^2 -6x -6x + 36
= x(x - 6) -6(x - 6)
= (x - 6 )(x - 6)
Answer:
[tex]\boxed{\tt (x-6)(x-6)}[/tex]
Step-by-step explanation:
To factor x²−12x+36 we need to find two numbers that add together to get -12 and multiply together to get 36:-
Let's try -6 and -6:-
[tex]\tt -6+-6 = -12[/tex]
[tex]\tt -6\times -6 = 36[/tex]
[tex]\tt (x-6)(x-6)[/tex]
_________________
Hope this helps!
Have a nice day!
ill mark you branliest if u answer
2. (2 points)
What is an equation of the line in slope intercept form?
You must justify your response.
Answer:
y = 2x + 2
Step-by-step explanation:
The slope of the line is 2 because you go up 2 and to the right 1. The y-intercept is 2, which where the line intersects through the y-axis.
Slope-intercept form:
y = mx + b
m is the slope of the line and b is the y-intercept