Which pair of functions are inverses of each other?
Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
A similar problem is given at https://brainly.com/question/23458455
Y is greater than or equal to 3 and less than 7
Answer:
y = 3to6
Step-by-step explanation:
Answer:
3 ≤ y < 7
Step-by-step explanation:
≥ means greater than or equal to
≤ means less than or equal to
< means less than
> means greater than
Given y is greater than or equal to 3
y ≥ 3
y less than 7
y < 7
Joining both of them together
3 ≤ y < 7
What is 25 percent of 530?
I really don’t understand this question and I don’t know what to do
the number 0.16 to 4 significant figures is?
Answer:
0.1600
Step-by-step explanation:
0.16 has 2 significant figures. To make it 4 significant figures, add two trailing zeros.
Dave bowled a 120his first game. In his second game, he bowled 150. Find the percent of change to the nearest tenth. State whether the change is an increase or decrease
Answer:
The percentage was 25% which was an increase.
Step-by-step explanation:
150 - 120 x 100% = 25%
120
150 - 120 = 25% (30)
Answer:
The percentage was 25% which was an increase.
Step-by-step explanation:
Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work?
Answer:
99 TVs
Step-by-step explanation:
5 and a half hours is about 330 minutes.
9:30 = x:330
If 30 * 11 = 330, then 9 * 11 will equal x.
Judy should inspect 99 TVs.
(3x+10)
(5x+10)
Set up an equation and solve for x.
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same?
Answer:
$30
Step-by-step explanation:
Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same
Based on the information given let x be the number of ticket to be purchased .
Carnival T entrance fee= $7.00
Ride= $0.50 per ticket
Carnival Q entree fee =12.00
Ride= $0.25 per ticket
Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)
.25 x = 5.00
Hence:
x=$.25+$5.00
×=$30
Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30
The linear model below shows the number of gallons of gas remaining in Sierra's car after she has driven x miles.
According to the model, how many gallons of gas does Sierra's car hold on a full tank (when the number of miles driven is zero)?
A. 16
B. 19
C. 15
D. 21
Answer:
The answer is 19
Step-by-step explanation:
What is 8.51736 rounded to the nearest ten-thousandth?
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
What is the cost of juice in dollars per fluid ounce?
⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Practice throws(X) : 4 10 6 15 0 7 11
Free throws(Y) : 8 23 9 34 5 11 27
Using the online linear regression calculator :
ŷ = 2.1559X + 0.3912
2.1559 = slope
0.3912 = intercept
X = independent variable ; y = dependent variable
The Coefficient of determination (R²) = 0.9506² = 0.9036
Quadratic model : y = 0.0961x²+0.7138x+3.8031
Coefficient of determination(R²) = 0.9739² = 0.9485
Exponential model:
a*b^x
Coefficient of determination (R²) = 0.9753² = 0.9512
The exponential model fits the data best.
What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
find the slope of the line passing through the points (-2,-8) and (7,-8)
Answer: 0/9
Step-by-step explanation: Hi there!
First, we have to put the points into the y2-y1/x2-x1 form.
Take the y value from the second point (-8) and the first point y value (-8)
and subtract.
-8 - (-8)
to get 0
Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.
7 - (-2)
to get 9
so when we put that together...
we get 0/9
So the answer is 0/9.
Hope this answer helps you!
If we have a sample of silicon (Si) atoms that has 14 protons, 14 electrons, and 18 neutrons
What is the name of this specific silicon isotope?
silicon-14
silicon-32
silicon-46
silicon-153
Answer:
Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.
Step-by-step explanation:
Hope this helps
Answer:
b
Step-by-step explanation:
edge 2022
Write the equation y=4x+9 in standard form using integers.
Answer:
[tex]4x-y=-9[/tex]
Step-by-step explanation:
The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.
To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.
[tex]4x-y=-9[/tex]
I hope this helped you :D
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 2 is an equation.
2x + 4y + 4 is an equation.
We have,
y = 4x + 9
This is in the slope-intercept form of an equation.
The standard form of an equation is written as:
x + y = c
We need to keep the variable in the equation on one side and a constant on the other side of the equation
Now,
y = 4x + 9
Subtract 4x on both sides.
y - 4x = 4x + 9 -4x
y - 4x = 9
-4x + y = 9
This is in the form of a standard equation.
Thus,
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
Learn more about equations here:
https://brainly.com/question/17194269
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Which graph shows a set of ordered pairs that represent a function ?
Answer:
C
Step-by-step explanation:
if you draw a line between the points then draw vertical lines they dont cross more than one dot
I really need help with these two problems, and yoI help would be much appreciated.
Answer:
option D is correct answer
I hope my answer is helpful to you
please give me five star rating
select the two roots of (3x+7)(2x-5)=0
Answer:
A and B
Step-by-step explanation:
Given
(3x + 7)(2x - 5) = 0
Equate each factor to zero and solve for x
3x + 7 = 0 ⇒ 3x = - 7 ⇒ x = - [tex]\frac{7}{3}[/tex] → A
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex] → B
The roots of the quadratic equation are x = -7/3 and x = 5/2.
The correct option is A and B.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
A quadratic equation in the factored form,
(3x+7) (2x-5) = 0.
So, 3x + 7 = 0 or 2x - 5 = 0
x = -7/3 and x = 5/2
Therefore, the roots are x = -7/3 and x = 5/2
To learn more about the quadratic equation;
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A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth. The building is about feet tall.
Answer:
55.64
Step-by-step explanation:
The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses
We will use the Pythagorean theorem:
x^2 = 106^2 - 92^2
= 11,236 - 8,464
= 2,772
= √2,772
x = 52.64978632
The height of the building:
h = x + 3
= 52.64978632 + 3
= 55.64978632
or
≈ 55.64 feet
Answer:
This is from a test in big ideas ain't it.
Step-by-step explanation:
Cause i have it too sorry for getting your hopes up. i need help on this one too
Find out if a function is linear or nonlinear from a graph.
Step-by-step explanation:
Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.
Answer:
Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.
help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
AYEEEEE i need help again because i dont know nothing
Answer:
its D
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
Im imposter yay
How many terms are there in the following expression: 3a+3ab+7b-4d?
Answer:
3
Step-by-step explanation:
no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who
Answer:
There are 4 terms.
Step-by-step explanation:
3a
3ab
7b
4d
please answer. i would rlly like it
Answer:
im pretty sure it isnt a function (not sure, i think)
Step-by-step explanation:
Answer:
i might be wrong but i think it's a relation that is not function
Step-by-step explanation:
sorry if im wrong....
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
RiDDLe oF tHE DaY: In the beginning of the school semester at Wilson Middle there was a murder. There were four suspects, The principal, Gardener, The counselor and the math teacher. The principal said he was in his office. The counselor said she was at the front office with school staff. The gardener said she was trimming bush leaves. The math teacher said he was giving out the end of semester school test. Who is the murder?
Answer:
the gardener
Step-by-step explanation:
it always is lol
Answer:
Math teacher
Step-by-step explanation:
It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.
Which table was created using the equation y = 4x +4?
Answer:
x -2, -1, 0 1 2
y-4 0 4 8 12
Step-by-step explanation:
i think...
Answer:
X Y
1 8
2 12
3 16
4 20
5 24
Step-by-step explanation:
I'm not seeing a table so I assume you need to creat one