By evaluating each function in -x, we will see that the only odd one is:
f(x) = -x
What is an odd function?
We say that a function is odd if:
f(-x) = f(x)
Then we just need to check that for the given functions, let's see what we get:
1) f(-x) = (-x)^3 + 5*(-x)^2 + (-x) = -x^3 + 5x^2 - x ≠ -f(x)
2) f(-x) = (-x)^2 - x= x^2 - x ≠ -f(x)
3) f(-x) = -(-x) = x = -f(x)
So the only odd function is the third one, one useful thing that you may need to know is that usually when you see even exponents, that function will not be odd.
If you want to learn more about odd functions, you can read:
https://brainly.com/question/1561362
How do you solve -2(6x+3)=-27–5x ?
Two candidates running for the same office received a total of 1,926 votes. If the winning candidate had 410 more votes than the other candidate, how many votes did the winner receive?
The number of votes received by winner is: 1168
Step-by-step explanation:Let the number of vote that is received by winning candidate be: a
and the number of votes received by other candidate be: b
It is given that:
Two candidates running for the same office received a total of 1,926 votes.
i.e.
[tex]a+b=1926--------------(1)[/tex]
and
The winning candidate had 410 more votes than the other candidate.
This means that:
[tex]a-b=410--------------(2)[/tex]
Now on solving the equation by the method of elimination .
i.e. on adding both the equation we have:
[tex]2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168[/tex]
Now on putting the value of a in equation (1) we get:
[tex]1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758[/tex]
Hence, the answer is: 1168
For a percentage increase of 36%, state the multiplier
A square piece of cloth, which is 10 meters on a side, is cut across the diagonal to form two right triangles. What is the length of the diagonal cut?
Answer:
D
Step-by-step
The answer is the square root of 288
How many lines does wide ruled paper have?
An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Round the answer to the nearest whole number of metres.
Name the property shown by the statement.
3(x + 7) = 3x + 21
A car dealership increased the price of a certain car by 13% . The original price was $41,200
Which postulate or theorem, if any, could be used to prove the triangles congruent? If not
enough information is given, write not enough information.
Answer: on d. it's, you
weren;t given enough information
Step-by-step explanation:
ur welcome.
Select the correct answer.
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there. How much must she buy before her savings equal her membership fee?
$10.00
$50.00
$100.00
$1,000.00
What's the answer to 3/2(16n+3)=24n
Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate?
1 mile 1,609 meters
Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help
Answer:
Talia swims about 1.5 miles per hour faster than Alina.
Step-by-step explanation:
Since, 1 miles = 1609 meter and 1 hour = 60 seconds,
⇒ [tex]\text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}[/tex]
⇒ [tex]\text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}[/tex]
Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600
[tex]=\frac{4022.5}{3600} \text{ meter per seconds }[/tex]
[tex]=1.11736111\text{ meter per seconds}[/tex]
And, the speed of Talia = 1.8 meter per second,
Since 1.8 > 1.11736111
⇒ Talia swims faster than Alina.
And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds
= 0.68263889× 3600/1609 miles per hour
= 1.52734618 miles per hour ≈ 1.5 miles per hour ,
⇒ Fourth option is correct.
On Monday, three hundred twenty students went on a trip to the zoo. All seven buses were filled and five students had to travel in cars. How many students were in each bus?
The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.
causation
correlation
association
no relationship
The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation. Correlation refers to a statistical relationship between two variables, where as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship.
Explanation:The relationship described in the question between the number of minutes you can talk on a cell phone and the phone's battery charge is correlation.
Correlation refers to a statistical relationship between two variables. In this case, as the battery charge decreases, the number of minutes you can talk on the phone also decreases. It does not imply a causal relationship, where one variable directly causes the change in the other.
For example, if the battery is fully charged, you may be able to talk on the phone for several hours. However, as the battery charge decreases, your talk time will gradually decrease until the battery is completely drained and you can no longer use the phone.
The number of minutes you can talk on a cell phone decreases as the battery charge decreases due to a causation relationship.
The correct answer is causation. This is because there is a direct cause-and-effect relationship between the phone's battery charge and the number of minutes you can talk on the phone. As the battery charge decreases, it limits the phone's ability to function, thereby reducing the available talk time.
For example, if your phone starts with 100% battery and allows for 240 minutes of talk time, a drop to 50% battery might only allow for 120 minutes of talk time as the battery depletes. This reduction in talk time is a direct result of the decreasing battery charge, illustrating a causal relationship.
It's important to differentiate this from correlation or association, which would imply a relationship without direct causation. Here, the reduction in battery charge directly causes the reduction in talk time, proving it to be a cause-and-effect relationship.
really need a answer and explanation for this
Each of the 212 pages in the largest fashion catalog measured 1.2m by 1.9m. whats was the perimeter of a page what was the area
Final answer:
To find the perimeter of the catalog page, we add the length and width and multiply by 2, resulting in 6.2 meters. For the area, we multiply the length by the width, resulting in 2.28 square meters.
Explanation:
The question asks for the perimeter and area of a page from a fashion catalog with dimensions of 1.2 meters by 1.9 meters. To calculate the perimeter of a rectangle, the formula is 2(length + width), and to calculate the area, the formula is length × width.
For the perimeter:
2(1.2m + 1.9m) = 2(3.1m) = 6.2 meters.
For the area:
1.2m × 1.9m = 2.28 square meters.
what is (4−5y)−2(3.5y−8)?
Thank you!!
The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of the object?
density = mass/ volume
volume = mass/ density
volume = 5625 / 15 = 375 cm^3
volume = l x w x h
375 = 5 * 3 * X
375 = 15
x = 375/15 = 25
height = 25 cm
The height of the object is 25 cm and this can be determined by using the formula of density and volume.
Given :
The density of an object can be calculated by dividing the object's mass by its volume.A rectangular prism has a density of 15g/[tex]\rm cm^3[/tex]. The prism has a mass of 5,625 g. The length of the object is 5 cm. The width of the object is 3 cm.The height of the object can be determined by using the formula of density. The formula of density is given by:
[tex]\rm d = \dfrac{m}{V}[/tex]
where d is the density, m is the mass, and V is the volume.
Now, substitute the known terms in the above formula.
[tex]\rm V = \dfrac{5625}{15}= 375\;cm^3[/tex]
Now, the volume of an object is given by:
[tex]\rm V = l \times w\times b[/tex]
Now, substitute the known terms in the above formula.
375 = 5 [tex]\times[/tex] 3 [tex]\times[/tex] h
h = 25 cm
For more information, refer to the link given below:
https://brainly.com/question/6034174
A garden table and a bench cost $1025 combined. The garden table costs $75 more than the bench. What is the cost of the bench?
Simplify the expression 3bx4b
Show all work please!!!!!!
1. PB (there is a line on top) is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
2. The midpoint of CD (there is a line on top) is E(-1, 0). One endpoint is C(5,2). What are the coordinates of the other endpoint?
3. Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).
What is −20÷45 ?−25−16−116−125
Its -25 i just did the test
1)Solve G(x) for the given domain.
G(x) = 3x 2 - 2x - 1
G(6) =
a)287
b)95
c)23
2)Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution.
F(x) = x 2 + 2
F(x2) =
3)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(-1) =
a)-4
b)-6
c)2
4)Solve F(x) for the given domain.
F(x) = x 2 + 3x - 2
F(3) =
a)13
b)16
c)40
Answer:
1-287
2- x^4 + 2
3 -6
4 16
Step-by-step explanation:
Answer:
1) is 95 G(6) = 3(6) ^2 - 2(6) - 1
2) is F(x²) = x⁴ + 2
3)is -4 f(-1)=-1^2+3(-1)-2
4) is 16 F(3) = (3) 2 + 3(3) - 2
Step-by-step explanation:
2) F(x) = x 2 + 2
F(x2) = F(x^2) = (x^2)^ 2 + 2x^4+2
= f(x^2)=x^4+2
In the equation b= a-2, which is the independent variable and which is the dependent variable ? Explain???? need help i don't understand
What is the midpoint of the line segment whose endpoint are (-8,12) and (-13,-2)
What is the domain of the inverse of a relation?
Is the number x positive? (1) on the number line, 0 is closer to x – 1 than to x. (2) on the number line, 0 is closer to x than to x + 1?
I hope that helps!
I need the answer Algebra question
Answer: $32
Step-by-step explanation:
add 7+9+12+4 =32
For each handmade greeting card jacqui sells, she makes a profit of $0.35. In one week , she made a profit of $42 .she sells the cards for $0.75 each.
Part A: About how much did she earn before paying expenses?
Answer:
$ 90
Step-by-step explanation:
Given,
The profit in each card = $ 0.35,
If she sold x cards,
Then the total profit she earned = profit in each card × number of cards
= 0.35x dollars,
According to the question,
0.35x = 42
[tex]\implies x = \frac{42}{0.35}=120[/tex]
Thus, she sold 120 cards,
Now, if the selling price of each card = $ 0.75,
Hence, total earning before paying expenses
= selling price of each card × total cards
= 0.75 × 120 = $ 90
How much would $400 invested at 9% interest compounded continuously be worth after 3 years? Rounded by the nearest cent