Step-by-step explanation:
step 1. f(0) = 0/(0^2 + 1) = 0/1 = 0
step 2. -f(x) = -x/(x^2 + 1)
step 3. f(9) = 9/(9^2 + 1) = 9/82.
A function is defined as a relation between a set of inputs having one output each. The values can be written as shown below.
What is function explain?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given function is f(x) = [tex]\frac{x}{x^{2} +1}[/tex], therefore, the values can be found by as shown below. Therefore, we can write,
(a) f(0) = 0/0+1 = 0
(e) – f(x) = - [ x / (x²+1)]
(b) f(9) = 9/(81 + 1) = 9/82
(f) f(x + 1) = (x + 1)/(x² + 2x + 2)
(c) f(-9) = - 9/(81 + 1 ) = -9/82
(g) f(3x) = 3x/(9x² + 1)
(d) f(-x) = -x/(x² + 1)
(h) f(x + h) = (x + h) / [(x+h)²+1]
For more about Function here:
https://brainly.com/question/12431044
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Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Tasha is packing gift bags that include
the same items. She has 72 glow sticks,
36 markers, and 24 bottles of bubbles.
Tasha believes that she can pack no
more than 6 bags using all of her
supplies. Do you agree with Tasha? Explain.
Answer:
No, I do not.
She can pack up to 12 bags
Step-by-step explanation:
Given
[tex]Glow\ sticks = 72[/tex]
[tex]Markers = 36[/tex]
[tex]Bubbles = 24[/tex]
Required
Is Tasha correct?
The maximum number of bags she can pack is determined by the greatest common factors (GCF) of the items.
i.e. GCF of 72, 36 and 24.
This is calculated as:
[tex]24 = 2*2*2*3[/tex]
[tex]36 = 2 * 2 *3*3[/tex]
[tex]72 = 2 * 2 * 2 *3*3[/tex]
Multiply all common factors:
[tex]GCF = 2 * 2 * 3[/tex]
[tex]GCF = 12[/tex]
The GCF is 12.
This implies that she can pack up to 12 bags
13,406,109 pennis into dollars
Answer:
$134,061.09
Step-by-step explanation:
hope this helps
Answer:
134,061.09
Step-by-step explanation:
Divide 13,409,109 by 100
$134,061.09This can also be expressed as 134, 061 dollars, and 9 pennies.
ax² + ax, a x2 + a²x
Answer:
ax(x+1)
ax(x+a)
Step-by-step explanation:
ax² + ax
= ax(x+1)
ax² + a²x
= ax(x+a)
hope it helps ☺️
1over 4 power negative 5
Answer:
4 to the 5th power (4^5)
The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.
Answer:
7.7%
Step-by-step explanation:
Given that,
The price of oil decreased from $52 per barrel to $48 per barrel.
We need to find the percentage decrease in the price of oil. It can be calculated as follows :
[tex]\%=\dfrac{52-48}{52}\times 100\\\\=7.69\%[/tex]
or
= 7.7%
So, the percentage decrease in the price of oil is 7.7%.
Answer:7.7%
Step-by-step explanation:
if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
(a - √b)
Step-by-step explanation:
Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)
Christina has trays of cookies for students in her class. Each tray has 6 cookies.
Two of the cookies are Oreos. What fraction of the cookies in 4 trays are Oreos?
Please help me :(
Answer:
1/12
Step-by-step explanation:
4x6=24
2/24=1/12
Use basic facts and place value to find the quotient.
450 • 9 =
Your answer
Solve the system of equations by graphing. -x+y = -2 y = -1
Answer:
the solution is (9, -1).
Step-by-step explanation:
graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.
i hope this helps! have a great day <3
18h 19min 26s
+ 25h 45min 48s
Answer:
2 days 5 minuts 14 seconds
Step-by-step explanation:
1 1 1 1 1
18 19 26
+25 45 48
1 24 05 14
A DVD originally costs $16. The discounted price is $12. What is the
percent change?
25% increase
25% decrease
18.75% increase
18.75% decrease
Which one of those answers?
And explain?
Answer:
The answer to your question is 25% decrease.
Answer:
25% decrease
25% of 16 is 4
Make it brainliest and give it heart ty
#CarryOnLearning
Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3
Answer:
3x
Step-by-step explanation:
Answer:
3x = y
Step-by-step explanation:
Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.
Answer:
a) 10(5g + 2r) weight loss over time
b) 20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50) or 5(5 + g) = 30g
c) 30g = 12 days = 3/5 therefore 5/5 -3/5 = 2/5 = 2/5 x 50 (g) = 20g in 8 days lost
8/20 = 0.4 loss each day 50g - 0.8g = 20-2 = 18 days.
Step-by-step explanation:
What is the answer to the question?
Answer:
exponential function i think
Step-by-step explanation:
factor the expression by grouping: ax+ay+az+3x+3y+3z
please answer fast
Answer:
(x+y+z)(a+3)
Step-by-step explanation:
ax+ay+az+3x+3y+3z
=(ax+ay+az)+(3x+3y+3z)
=a(x+y+z)+3(x+y+z)
=(x+y+z)(a+3)
A curve has equation y=2/x square root what is dy/dx
Answer:
dee y by dee x
Step-by-step explanation: hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐
Answer: (The answer is in the image below. Had to write it instead of type it.)
Step-by-step explanation: Differentiate each term with respect to x, then solve for y'.
I hope this helps you out!
HELP ASAPPPPP I WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Count all writing utensils which is 16, then jus count the number of pencils
Answer:
5:16 because she has 5 pencils and a total of 16 writing utensils
Step-by-step explanation:
1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get
Answer:
Each friend will get 5/8 (excluding Rita)
Each person will get 15/28 (including Rita)
Step-by-step explanation:
You must simply divide 3 3/4 ÷ 6 (excluding Rita)
You must simply divide 3 3/4 ÷ 7 (including Rita)
Verify that f and g are inverses functions using composition , show your steps
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
I need help fast I appreciate it
prove that sin x + cos x the whole square is equal to 1 + sin 2x
THE ANS IS 1+sin2x
Step-by-step explanation:
This result follows almost directly from the following:
A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB
Answer:
Step-by-step explanation:
I will assume that the scale factor is 2.5
A'(-5,2.5) True
AB || A'B' True
?? What does ABAB" mean?
A'B' is an enlargement of AB True
An object that weighs 18 pounds on Mercury weighs approximately 60 pounds on Earth. A rock weighs 120 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth
Answer: 400
Step-by-step explanation:
I'm not sure 400
How many boxes did Lamar sell?
How many boxes did Jina sell?
The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day ?
write the mixed number you got
4 2/3 think of how many time you can put 3 into 14 the section out the rest
Answer:
4 2/3
Step-by-step explanation:
the millers travled 4 2/3
True or false ; 3/4 > 0.65
true
oops, i read it wrong LOL, it's true. .65 is less than .75
What is the product?
213 × 314
Answer:
66882
Step-by-step explanation:
Answer:
product
Step-by-step explanation:
213×314=66,882
s - k + x; when s = 7, k = 4, x = 6
what does this mean someone help quick
Answer:
you just plug in those numbers... 7-4+6 = 9
What is the value of 15x - 20x?
A. -35x
B. -5x
C. 5x
D. 35x
Answer:
Step-by-step explanation:
15x - 20x = -5x
answer is B
Answer:
Its b
Step-by-step explanation: