Give an odd function which of following transformations would result in an odd function
Answers
Answer: Reflection across the x-axis and Vertical stretch are the ones that return an odd function.
Step-by-step explanation:
An odd function f(x) is a function such that:
f(-x) = -f(x).
So let's analyze the options:
A) Horizontal translation.
An horizontal translation of A units to the right (A > 0) is written as:
g(x) = f(x - A)
Now, let's see if g(x) is also odd.
g(x) = f(x - A)
g(-x) = f(-x - A)
Now, f(-x - A) is equal to -f( x + A)
then:
g(-x) = f(-x - A) ≠ -g(x) = -f(x - A)
This is not an odd function.
B) Reflection over the x-axis.
When we have a point (x, y), a reflection over the x-axis changes the sign of the y-variable.
Then we have that:
g(x) = -f(x).
Then:
g(x) = -f(x)
g(-x) = -f(-x) = -(-f(x)) = f(x)
then:
g(x) = -f(x) = -g(-x)
This is an odd function.
C) Vertical stretch:
We can write a vertical stretch of factor scale A as:
g(x) = A*f(x).
Let's see if g(x) is odd:
g(-x) = A*f(-x) = A*(-f(x)) = -A*f(x) = -g(x)
this is a odd function.
C) Vertical translation:
A vertical translation of A units up (A > 0) is written as:
g(x) = f(x) + A.
Similar to the case of the horizontal translation, so it is easy to see that g(x) is not an odd function.
Related Questions
DJ tracks the song request she received on Friday night she noted that the number of request for country songs with two more than 4/3 times a number request for hip-hop songs they're 18 request for country songs if X represents the number of request for K-pop songs which equation represents the situation how many request for hip-hop songs did the DJ receive on Friday night
Answers
Answer: DJ receive 12 requests for hip-hop songs on Friday night.
Step-by-step explanation:
As per given , we have
[tex]\text{(Number of request country songs ) = }2+\dfrac{4}{3}\times (\text{Number of request for hip-hop songs})[/tex]
Let X represents the number of request for hip-hop songs which equation represents the situation .
If they're 18 request for country songs, then
[tex]18=2+\dfrac{4}{3}X\\\\\Rightarrow\ 18-2 =\dfrac{4}{3}X\\\\\Rightarrow\ 16 =\dfrac{4}{3}X\\\\\Rightarrow\ X=\dfrac{3}{4}\times16= 3\times4=12\\\\\Rightarrow\ X=12[/tex]
Hence, DJ receive 12 requests for hip-hop songs on Friday night.
Nevaeh had 12 blue pencils and 18 red pencils to give out equally among the maximum number of classmates. How many red pencils will she give to each classmate?
Answers
Answer:
The answer to this problem is 3
Step-by-step explanation:
is 6 greater than 0.06 and 0.006
Answers
Answer:
Yes, 6 is greater then 0.06 and 0.006
Step-by-step explanation:
6 = 6.00
and both 0.06 and 0.006 are not even a whole number
Answer: Yes it is
Step-by-step explanation:
6>0.06 and 6 >0.006
Find the value of b×6 when b=7
Answers
Answer:
42
Step-by-step explanation:
It is basically 7×6 when you replace the b with 7
Answer:
The answer is 13.
Step-by-step explanation:
Find the value of 6 + b:
Replacing b by 7 gives 6 + 7. (example)
Which expression could be used to calculate the volume of the new can?
Answers
Answer:
C.
Step-by-step explanation:
pi(r)^2
pi(2x+1)^2
6x(4pix^2+4pix+1pi)
24pix^3+24pix^2+6pix
Answer:
C
Explanation:
Volume for a cylinder is V= (pi)(r^2)(h)
r being radius, h being height.
The radius is 2x+1, so square that
(2x+1)^2 = 4x^2 + 4x + 1
Then multiply by 6x, the height
(4x^2 + 4x + 1)(6x) = 24x^3 + 24x^2 + 6x
Then multiply each term pi, which would be answer C.
How do I do? What is the answer and why
Answers
Answer:
Step-by-step explanation:
∠ADE = 74 {Vertically opposite angles are equal}
∠AED + 127 = 180 {Straight line }
∠AED = 180 - 127
∠AED = 53
In ΔADE,
∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}
∠DAE + 53 + 74 = 180
∠DAE + 127 = 180
∠DAE = 180 -127
∠DAE = 53
Evaluate the expression when x = 11-2
10
1.-6x4 +X +20
2. 5x2 - 9x2 + 35
3. -8x + 13x3 -10
4. -9x2 + 10x -15
5. -8x2 + 13x3 +20
6. 8x4 + 13x - 10
7.-9x + 10x4 -15
8.-18x3 + 10x2 +20
9. 7x4 + 13x2-10
10. 6x3 + 13x - 10
11. 3x2 + 13x2 -10
12. 2x4 + 13x - 10
Can someone help me please
Answers
I'm confused as to why there's a random "10" but the answer is actually pretty simple. Insert (11-210) into the problems.
Basically substitute (11-210) into the numbers with the x variable.
Write the equation for Chelsea's graph in
slope-intercept form. Make sure the slope is
written in simplest form.
Answers
Answer:
[tex]y=-4x+16[/tex].
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{8-24}{2-(-2)}[/tex]
[tex]Slope=\dfrac{-16}{4}[/tex]
[tex]Slope=-4[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
[tex]y=(-4)x+(16)[/tex]
[tex]y=-4x+16[/tex]
Therefore, the required equation is [tex]y=-4x+16[/tex].
D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB
Answers
Answer:
x = 8
AB = 54
Step-by-step explanation:
AD = DB
2x+11 = 4x-5
11 = 2x - 5
16 = 2x
8 = x
2(8) + 11 =
16 + 11 = 27
What would be the total if 25%is 18
Answers
Answer:
72
Step-by-step explanation:
You would first change 25% to 0.25
Then divide 18 by 0.25 (18/0.25)
Which equals 72
Answer:
4.5 because its basically 18 divided by 4
Step-by-step explanation:
Un grupo de personas se reúnen para ir de excursión, juntándose un total de 20 entre hombres, mujeres y niños. Contando hombres y mujeres juntos, su número resulta ser el triple del número de niños. Además, si hubiera acudido una mujer más, su número igualaría al de hombres. ¿Cuántos hombres, mujeres y niños han ido de excursión?
Answers
Answer:
El número de hombres = 8 hombres
El número de mujeres = 7 mujeres
El número de niños = 5 niños
Step-by-step explanation:
El número total de personas en la excursión = 20
La suma de los hombres y las mujeres = 3 veces el número de hijos
El número de mujeres = 1 menos el número de hombres
Sea el número de hijos = A
Sea el número de mujeres = B
Sea el número de hombres = C
Tenemos;
B + C = 3 × A .................... (1)
B = C - 1 .......................... (2)
A + B + C = 20 .............. (3)
Sustituyendo el valor de A + B en la ecuación (1) en la ecuación (3), tenemos;
A + B + C = 20
A + 3 × A = 20
4 × A = 20
A = 5
Sumando la ecuación (1) a la ecuación (2), obtenemos
B + C + B = 3 × A + C - 1
2 · B + C - C + 1 = 3 · A
2 · B + 1 = 3 · A = 3 × 5 = 15
2 · B + 1 = 15
B = (15 - 1) / 2 = 7
B = 7
De la ecuación (2),
B = C - 1
7 = C - 1
C = 7 + 1 = 8
El número de niños = 5
El número de mujeres = 7
El número de hombres = 8.
The formula for the area of a triangle is A=1/2 bh, where b is the base of the triangle. what is the length of the base if the area is 32cm squared and the height is 4 cm
Answers
Answer:
base =16Step-by-step explanation:
[tex]A = \frac{1}{2} \times b \times h\\A = 32\\b = ?=x\\h = 4\\\\32 = \frac{1}{2} \times x \times 4\\\\32 = \frac{4x}{2} \\\\Cross \: Multiply\\\\64 =4x \\Divde \: both \: sides \: of \: the \:equation \:by \: 4\\\\\frac{4x}{4} = \frac{64}{4} \\\\x = 16[/tex]
Evaluate the expression using x = –1 and y=3. (6x4y3)
Answers
Answer:
6(-3)*4(3)*3
-12 *12 *3
-144*3
-432
Answer: -432
Step-by-step explanation:
Word Problem 18.) You are ordering T-shirts from a catalog. Each T-shirt costs $15. The cost of shipping is $6 no matter how many shirts you order. The total cost is $111. How many T-shirts did you order? please i need help!!!
Answers
Answer:
7 t-shirts
Step-by-step explanation:
Because you know the cost of shipping ($6) is constant no matter the quantity you order (fixed cost), you can subtract it from the total cost of the order to find the total variable cost. Next you divide the left over cost by the cost per t-shirt to get the quantity ordered.
$111 - 6 = $105
$105 / $15 per shirt = 7 t-shirts
Hope this helps!
-The Business Man
−18+p=18 what property would be used for this
Answers
Answer:
addition property of equality
Step-by-step explanation:
−18+p=18
Add 18 to each side using the addition property of equality
−18+18+p=18+18
p = 36
12x
+3 = 7
5.
+
answer?
Answers
Answer: 6
Step-by-step explanation: 12x+3=75
-3 -3
12x=72
12 12
x=6
Answer:
x=6
Step-by-step explanation:
12x+3=75
12x=75-3
12x=72
x=6
7)
The first floor of the Willis Tower is 21 feet high. Each additional floor is 12 feet high.
a
Write an equation for the nth floor of the tower.
b.
Find the height of the 65th floor.
Answers
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
21, 33, 45...
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as [tex]T_n = a + (n-1)d[/tex]
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;
[tex]T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n[/tex]
Hence the equation for the nth floor of the tower is expressed as [tex]T_n = 9+12n[/tex]
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)
[tex]T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft[/tex]
Hence the height of the 65th floor is 789feets.
Which expressions are equivalent to 4(4a+5
Answers
Answer:
4(4a+5) = 16 a + 20 = True
Step-by-step explanation:
How many solutions does this equation have? -3 – 7t = -7t - 3
1)no solution
2)one solution
3)infinitely many solutions
Answers
Answer:
3)infinitely many solution
Step-by-step explanation:
-3 - 7t = -7t - 3
-7t + 7t = -3 + 3
0 = 0
if there is same number on both side it have infinitely many solution.
hope u like it ❤️❤️❤️
for any question comment me
Two co-teachers, Daniel and Mathew, have to grade a set of math journals.
Daniel grades 45% of the journals and Mathew grades 55% of them.
Mathew has to grade 121 journals. How many total journals have to be graded?
Answers
Answer:
220
Step-by-step explanation:
55 percentage of x = 121
so X = 220
as simple as that
please helppp!!!!!!!!
Answers
I'm bad at math. a plan for a baseball diamond is drawn in a coordinate plane. the baseball diamond is in a shape of a square.with vertices at approximately (0,64),(64,0),(0,—64), and (—64,0). one unit in the coordinate plane represents 1 ft. what is the approximate area of the baseball diamond? what is the area of the trapezoid shown?
Answers
Answer:
Area of diamond=8192
Area of trapezoid =72 square unit
Step-by-step explanation:
Area of diamond:
find the distance between the points:
(0,64), (64,0), (0,-64),(-64,0)
d=√(x2-x1)²+(y2-y1)²
d=√64²+64²
d=64√2=90.51( rounded to the nearest hundredth)
since it is shape of square then all sides are equal
A=length*width
A=64√2*64√2
A=8192 square unit4- Area of trapezoid= ((base a +base b)/2) h
base a=3, base b=6 height=8 ( from graph count the tiles)
Area of trapezoid = ((3*6)/2 )* 8
Area=18/2*8
Area=9*8=72 square unit
The area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The area of the diamond will be calculated as below:-
find the distance between the points:
(0,64), (64,0), (0,-64),(-64,0)
d=√(x2-x1)²+(y2-y1)²
d=√64²+64²
d=64√2=90.51( rounded to the nearest hundredth)
Since it is the shape of a square then all sides are equal
A=length x width
A=64√2 x 64√2
A=8192 square unit
The area of the trapezoid will be calculated as below:-
Area of trapezoid= ((base a +base b)/2) h
base a=3, base b=6 height=8 ( from graph count the tiles)
Area of trapezoid = ((3*6)/2 )* 8
Area=( 18/2 ) x 8
Area=9 x 8=72 square unit
Therefore, the area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.
To know more about the area of the trapezoid follow
https://brainly.com/question/1410008
#SPJ2
Find the volume of the cone.
Either enter an exact answer in terms of or use 3.14 for radius is 6 height is 8
Answers
Answer:
Hey there!
Cone formula: [tex]\pi[/tex]hr^2/3
Plugging in the values, we get the volume is 301.59
Let me know if this helps :)
Answer:
96π
301.59
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
[tex]V=\frac{1}{3}bh[/tex]
b is the base and h is the height. The base formula for a circle (area):
[tex]b=\pi r^2[/tex]
Insert this value into the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Simplify the formula:
[tex]V=\frac{\pi r^2h }{3}[/tex]
Now insert the known values:
[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]
Simplify:
[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]
The volume is 96π units³ or 301.59 units³.
:Done
who would win? Justice leage or the Teen titans, the Thundercats and the Teenage mutant ninja turtles
Answers
Answer:
JUSTICE LEAGUE
Step-by-step explanation:
Given the following function: f(x) = 3 – 5x
Evaluate f(-8) + f(-10) = ?
Answers
Answer:
96
Step-by-step explanation:
f(x) = 3 – 5x
f(-8) + f(-10) = 3 - 5*(-8) + 3 - 5*(-10) =3 + 40 + 3 + 50 =96f(-8) + f(-10) = 96
f(-8) + f(-10) = 96
Step-by-step explanation:f(-8) = 3 - 5×(-8)
= 3 + 40
= 43
f(-10) = 3 - 5×(-10)
= 3 + 50
= 53
f(-8) + f(-10) = 43 + 53 = 96
What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x –13
Answers
please make me as brainliest
Answer:
A
Step-by-step explanation:
Find the slope and y-intercept of y = 2x - 5.
I
m =
b
Answers
Step-by-step explanation:
y=2x-5 is in y=mx+b
Where m = slope
[tex]slope = m = 2[/tex]
To find y-intercept :
[tex]y = 2x - 5[/tex]
Let x =0
[tex]y = 2(0) - 5 \\ y = 0 - 5 \\ y = - 5[/tex]
Which of the following is a factor of x^2 -5x-6
Answers
Answer:
(x-6)(x+1)
Step-by-step explanation:
Show your work t
A number increased by 5 is less than or equal to 26
Answers
Answer:
Equation: x + 5 ≤ 26
Solved: x ≤ 21
Question 3
Find the domain and range of the function represented by the graph?
A. Domain: -3
Range: -4<=y<=0
B. Domain: {-3, -2, -1, 0, 1}
Range: {-3, -2, 0, 1}
C. Domain: {-4, -3, 0, 1, 2}
Range: {-4, -3, -2, -1, 0}
D. Domain: -4 <= x<=-3
Range: 0<=y<=1
Answers
Answer:
Domain: [tex]-3\leq x\leq 1[/tex]
Range: [tex]-4\leq y\leq 0[/tex]
Step-by-step explanation:
If you find the coordinate of the graph you can get the domain and range
(-3,0), (-2,-4), (-1,-2), (0,0), (1, -4)
Now that we have that find the domain and range
Domain - x coordinate
Range - y coordinate
Domain: (-3, -2, -1, 0, 1)
Range: (-4, -2, 0)
Since the domain ranges from -3 to 1 you can use the inequality [tex]-3\leq x\leq 1[/tex] to represent the domain and [tex]-4\leq y\leq 0[/tex] for the range