Determine whether each function is even, odd, or neither.
f(x) = (x2-9
DONE
g(x) = |x-31
DONE
x2-1
DONE
g(x) = x + x2
DONE
Answers
Answer:
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Step-by-step explanation:
Explanation:-
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = \(f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)\)
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Here, we have,
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = -x/(-x)²-1
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function.
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Which expression is equivalent to 2E-3/2E-5
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b. 1/2E2
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
We are given that each slice is 1 over 10 of a pizza, so there are 10 slices per pizza (because the denominator represents the total amount of pieces). Since there are 12 pizzas, 12 x 10 = a total of 120 slices.
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answer:
I need the image to do this or more information
A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
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Answers
Answer:
x = 30 employees.
Step-by-step explanation:
30x + 100 = 1000
- 100 - 100
30x = 900
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Work:
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For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
Answers
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
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im giving the brainliest who ever guesses my age right lol 10-20
Answers
Answer:
you’re in middle school so i’m guessing 12 or 13
Step-by-step explanation:
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answers
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
What is 42038.798 Rounded to the Nearest Cent?
Answers
The answer is 55.27!
Answer: 42038.80
Step-by-step explanation:
The rainfall for the month of July was above average. The water level in a small lake measured 8 3/4 feet at the beginning of the month. Due to all the rainfall, the water level rose 3/5 of a foot per week for the first three weeks, then the lake dropped 1/2 foot in the last week of the month.
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Answers
c. 10 1/20 is your answer
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Answers
-1/6 • 12 = -12/6 = -2
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Hope this helps :)
-1/6(12 + 18k)
Distribute the -1/6 with 12 and 18k.
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Please need help ASAP.
Answers
Answer: in this order angle d, e, f line de, ef, fd
Step-by-step explanation:
Help please this is due today!!!!!!!!!!!!!!!!! I would give it a 5 star and thanks for it.
The office building where Ryan works is made up of two cube-shaped pieces. At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the volume of the smaller part is 4000 m³, what is the distance around the edge of the building?
Answers
Answer:
At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the ...
Step-by-step explanation:
A rectangular prism is 2 inches by 4 inches by 6 inches.
Kimaya says, “It takes more 2/5-inch cubes to fill the prism than 1/5-inch cubes.”
Do you agree with Kimaya? Explain or show your reasoning.
Answers
No, I do not agree with Kimaya. The volume of the rectangular prism is 2 inches x 4 inches x 6 inches = 48 cubic inches. To fill the rectangular prism with 2/5-inch cubes, you would need 48 cubic inches / (2/5) cubic inches per cube = 120 cubes. To fill the rectangular prism with 1/5-inch cubes, you would need 48 cubic inches / (1/5) cubic inches per cube = 240 cubes.
So, it takes less 2/5-inch cubes to fill the prism than 1/5-inch cubes.
Another way to think of it is that the larger the cubes, the less number of cubes you need to fill the same volume, as the cubes are larger in size.
Simple Explanation: 2/5 in. cubes are more than 1/5 in. cubes, so 1/5 in. cubes would take 2x more to fill than 2/5 in.
Complex Explanation: 2 in. x 4 in. x 6 in. is 48 cubic in. and to fill 48 cubic in. using 2/5 in. per cube, it would be 120. as for 1/5 in., to fill 48 cubic in. with that would be 240. Easier way to think of it is that 2/5 in. cubes are already 120 and 1/5 would be doubling that so all you gotta do is multipy 120 x 2 since filling it with 1/5 would be 2x the amount than 2/5.
Hope this helped :D
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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Hello, could anyone please help me with this problem.
Maria currently has 465 dollars in her account. She withdrew money for $250 and $175. If she spends $45 to put gas in her car, How much money will Maria have in her account?
Answers
Answer:
40$
Step-by-step explanation:
if maria has 465$ in her account and she withdrew 250$ makes 215 but it also says she withdrew 175 so 215 subtract 175 makes 40 dollars if she uses 45 dollars to fill her car up she still only has 40 dollars i hope this helps
Answer: $40
Step-by-step explanation: If Maria has 465 dollars and withdraws takes out subtracts $250 she has $215 after that she takes out or subtracts $175 so than she has $40. I think the answer is $40 but I am not so good at math so I'm not sure
HELP!!! PLSS I CANT FAIL :(
Answers
Answer:
1/2 or 0.5 of the pack of hot dogs
Step-by-step explanation:
I gotchu bro, you won't fail!!
Answer: 1/10 is the answer
Step-by-step explanation:
3 1 X 2
------- = -------
10 5 X 2
3 2
= ------ - ------
10 10
3 - 2
= --------------
10
1
= ------------
10
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
A baker uses 5.5 pounds of flour daily. How many ounces of flour will he use in two weeks? Use words or numbers to explain your thinking. (1 lb = 16 oz) *
Answers
Answer:
1232oz in 2 weeks
Step-by-step explanation:
5.5 lb = 88oz
88oz*14 = 1232oz
how in the world do i do this? please explain.
Answers
Answer: 62.83in
Step-by-step explanation:
C= 2(3.14)(10)
C= 20(3.14)
C= 62.831853071796