Step-by-step explanation:
An odd function is where g(x) = -g(-x).
Therefore the answer is g(x) = 4x, as it passes through the origin and g(x) is positive when x is positive, and g(x) is negative when x is negative.
The odd function will be g(x) = 4x. Then the correct option is D.
What is an odd function?A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
The equation should be stored in an odd function:
f(-x) = -f(x)
Let's check all the options.
A. The function is g(x) = x².
Substitute x = -x, then we have
g(x) = (-x)²
g(x) = x²
This is an even function.
B. The function is g(x) = 5x – 1.
Substitute x = -x, then we have
g(x) = 5(–x) – 1
g(x) = – (5x + 1)
This is a neither even nor odd.
C. The function is g(x) = 3.
Substitute x = -x, then we have
g(x) = 3
This is an even function.
D. The function is g(x) = x.
Substitute x = -x, then we have
g(x) = -x
g(x) = x
This is an odd function.
Then the correct option is D.
More about the odd function link is given below.
https://brainly.com/question/14264818
#SPJ2
Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.
Answer:
0.3, 1/3, 37.5%, 40%, 3/5Step-by-step explanation:
Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.
For 1/3;
= 1/3 * 100
= 100/3
= 33.3%
For 0.3:
= 0.3 * 100
= 3/10*100
= 30%
for 3/5;
= 3/5 * 100
= 300/5
= 60%
Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%
The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%
In term of the given values from least to greatest is;
0.3, 1/3, 37.5%, 40%, 3/5
An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?
Answer:
c = 150 + 20b
Step-by-step explanation:
Given:
Ticket charges = $150
Each bag carry cost = $20
Find:
Relationship between bag(b) and cost(c)
Computation:
⇒ Total cost = Ticket charges + $20(number of bags)
⇒ c = 150 + 20(b)
⇒ c = 150 + 20b
3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients
Answer:
A) 34 clients
Step-by-step explanation:
From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:
75*45%= 33.75→ 34
According to this, the answer is that the number of business clients is 34.
Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?
Answer:
Dimensions of rug:
Length = 28 ft
Width = 27 ft
Step-by-step explanation:
The given dimensions of the room is:
Length = 30 ft
Width = 29 ft
Area of carpeting = 756 sq ft
Kindly refer to the attached image.
Let the uniform strip around floor is of length = [tex]x[/tex] ft
This [tex]x[/tex] feet will be 2 times along the length and
2 times along the width of room.
So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and
Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]
It will be rectangular in shape.
Area of a rectangle is given as:
[tex]A = Length\times Width[/tex]
[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]
Negative length not possible.
So,Length of strip, [tex]x = 1\ ft[/tex]
Dimensions of rug:
Length = 30 -2 = 28 ft
Width = 29 -2 = 27 ft
if Chicago supplies 1388.8888889 of water each second, how many ft per second
Answer:
1388.8888889
Step-by-step explanation:
First of all, this looks like a problem that is incomplete. You never gave the unit of how much water they supplied, and there is not supposed to be that many decimal places. Also, a foot is a term of measurement, not volume. However, if I assume that the unknown object supplied is cubic feet, it would be 1388.8888889 cubic feet per second.
|3n+2|+4=0 algebra 2
I3n+2I+4=0
3n+2+4=0
3n+2=0-4 = -4
3n+2= -4
3n= -4 - 2 = -6
3n= -6
n= -6/3
n=-2
Evaluate each expression. y − z + xz ÷ 6; use x = 3, y = 4, and z = 4
What is the product of (–0.5)(–1.2)(–5.22)?
Answer:
-31.32
Step-by-step explanation:
(–0.5)(–1.2)(–5.22)
6(-5.22)
=>-31.32
What percent of 2434 is 17?
a 17.0%
b 0.7%
c 14,317.6%
d 7.0%
Answer:
b.) 0.7%
best of luck!
two figures are similar and the scale factor is 2/3. If a side of the larger figure is 12, then the corrosponding side in the smaller figure is? 6 8 12 18
Answer:
8
Step-by-step explanation:
Since you referred to a scale factor of 2/3, and the fact that the side of the larger figure is 3, we know that the ratio of the smaller figure to the larger figure is 2/3. We can then find that the corresponding side of the smaller figure is 8.
Answer:
The guy above me is right, it is 8!
Step-by-step explanation:
I got the answer correct.
Johnny's backyard measures 15. wide by 10 feet long. What is the area of Johnny's
backyard in square feet?
square feet.
Answer:
150
Step-by-step explanation:
To find the area, you have to multiply by the length and width.
L = 10
W = 15
15 x 10 = 150
Hope this helps! <3
HELP ME PLEASE!!
The cross section area of a brick wall that is shaped as
right-angled triangle is 12m² and the height is 6 metre.
Calculate the gradient and the area of the slanted surface
of the stone wall.
Answer:
14.42 m²
Step-by-step explanation:
h = 6 mS = 12 m²S = 1/2bh ⇒
b = 2S/h = 2*12/6 = 4 mGradient:
√(6²+4²) = √52 = 7.21 mArea of slanted surface:
7.21 m* 2 m = 14.42 m²Answer:
14.42 m²
hope it helped:D
A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? I have already learned that the one removed is (4,1) A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? this not inout and out can not be the same
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
I need help what is 3+2x^3 when x=2
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Answer:
1: x=2, 2: x=4, 3:x=3
Step-by-step explanation:
They are correct because i checked them
If y = 21, when x = 7, find y when x = 28.
Answer:
84
Step-by-step explanation:
x=7 x=28
y=21 y=84
is simple ratio problem
Answer:
Answer: y = 21
Answer: y = 21 when x = 7
Answer: y = 21 when x = 7so x = 28
Answer: y = 21 when x = 7so x = 28 then y = 84
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4
The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?
Answer:
The number of yellow skittles in the bag is 15 yellow skittles
Step-by-step explanation:
The ratio of yellow to blue skittles in the bag is 5:9
The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag
From the ratio of yellow to blue skittles in the bag, we have;
Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14
Fraction of the total skittles that are blue = 9/14
Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;
The number of blue skittles = Y + 12
The total number of skittles = Y + Y + 12 = 2·Y + 12
Whereby the fraction of the total skittles that are blue = 9/14, we have
9/14 × (2·Y + 12) = Y + 12
9 × (2·Y + 12) = 14 × (Y + 12)
18·Y + 108 = 14·Y + 168
18·Y - 14·Y = 168 - 108 = 60
4·Y = 60
Y = 60/4 = 15
∴ The number of yellow skittles in the bag = 15
The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.
determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)
Answer:
Domain (-3, 4, 5)
Range (1, 2, 6)
Step-by-step explanation:
Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).
Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).
So, basically you just look at all the number that come first so say you have
(1,2), (2,3), (3,4)
Your first numbers to each point are (1, 2, 3) which is your Domain
then look at the second number which are (2, 3, 4) which is your Range.
Hope this helps!
A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6
Answer:
5
Step-by-step explanation:
Edgunity
Answer:
5 C
Step-by-step explanation:
even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.
Simplify the problem using the distributive property.
2(3x-5)
4- 3(x+1)
Answer:
2(3x−5)(4)−3(x+1)
Distribute:
=24x+−40+(−3)(x)+(−3)(1)
=24x+−40+−3x+−3
Combine Like Terms:
=24x+−40+−3x+−3
=(24x+−3x)+(−40+−3)
=21x+−43
Answer:
=21x−43
2(3x-5)
6x-10
4-3(x+1)
4-3x+1
-3x+1+4
-3x+5
6x-10-3x+5
6x-3x+5-10
3x-5
hope it helps!
A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday
Answer: d
Step-by-step explanation:
A = 18:25 = 1:1.39
B = 6:12 = 1:2
C = 10:18 = 1:1.8
D = 12:15 = 1:1.25
The smallest ratio is D.
sorry if it's wrong!
Answer:
Step-by-step explanation:
The pizza you ordered for your party has been split into 12 even slices. Every slice has either
pepperoni, chicken, or sausage. If 1/3 of the pie has pepperoni, and 2/4 of the pie has chicken, how many
SLICES of the pie have sausage?
Answer:
2 slices of pizza is sausage
Step-by-step explanation:
1/3 of pizza is 4 slices(pepperoni)
2/4 of pizza is 1/2 which is 6(chicken)
There are 12 slices in all so 12-(6+4) = 2 sausage
Which statement about sutter’s work are true?
Answer:
good question
Step-by-step explanation:
go to google i guess
Answer:
The one that was listed. Unlike the ones on this question.
Step-by-step explanation:
Have
a
good
day
:)
If 17% of gummy bears are red then how many red gummy bears will be red out of 300?
Answer: 51
Step-by-step explanation:
17% of 300 is 51
300 x .17 =51.
1st answer gets brainliest what is 17/12 + 11/12
Answer:
7/3
Step-by-step explanation:
17/12+11/12
28/12
=>7/3
What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis
what is the answer (2x + 6) = c
Answer:
X=3
C=12
Step-by-step explanation:
(2x+6)=c
2x+6
x=2/6
x=3
2x3+6=c
c=12
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x= c/2-3
if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
what is the answer to a0 + (-7) = 3
Answer:
a0 = 10
Step-by-step explanation:
We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:
a0 + -7 = 3
a0 + -7 + 7 = 3 + 7
a0 = 10
Cheers.
can y’all please help meeeee
i would really appreciate it :)
Answer:
its 10
Step-by-step explanation:
Answer:
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )
y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )
(y - 2)² = x + 6 ( subtract 6 from both sides )
(y - 2)² - 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = (x - 2)² - 6