Is y=x^4+3x^2 even, odd, or neither?

Answers

Answer 1

Answer:

              EVEN

Step-by-step explanation:

the product of odd numbers is always odd

the product of even numbers is always even  

the product of odd number and even one is always even

the sum of two odd numbers is always even

and the sum of two even numbers is always even

so if x is even number we have:

x²=x•x   - even number

x⁴=x²•x²  - even number

3x²=3•x²  - even number

y = x⁴+3x²   - even number

and if x is odd number we have:

x²=x•x   - odd number

x⁴=x²•x²  - odd number

3x²=3•x²  - odd number

y = x⁴+3x²   - even number


Related Questions

Is this mapping diagram a function?

Answers

Include a photo attach a photo of the diagram

You are creating identical picnic basket using 30 sandwiches and 42 apples. What is the greatest number of basket that you can fill using all of the food?

Answers

Answer:

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

greatest number of fill using all of the food is 6

AB=1cm and AC=3cm. Find the radius of the circle. (Problem Number 13)

Answers

Answer:

2cm

Step-by-step explanation:

AB= 1cm

AC= 90°

OB= 180°

OB= 2cm

To find OA= 2 divide 2

= 1cm

AB+OA= 2CM

3 t-shirts and 2 hats costs £14.
2 t-shirts and 7 hats costs £15.
Find the cost of a t-shirt.
Find the cost of a hat.

Answers

The shirt would be $4
And the hats cost $1

A blue light flashes every 8 seconds. A red light flashes every 12 seconds. Both lights have just flashed together. After how many seconds will both lights flash together?

Answers

They will flash together for 8 seconds

The blue and red light will flash together after every 24 seconds.

What is LCM ?

LCM is the Least Common Multiple of at least two numbers, It is the smallest number that will be completely divisible by both the numbers.

The blue light flashes every 8 seconds

The red light flashes every 12 seconds

The time at which they will flash together can be determined by finding their LCM

LCM of 8 and 12 is 24.

Therefore, after every 24 seconds, they will flash together.

To know more about LCM

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A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the water rise in the barrel? I WILL GIVE BRAINLIEST!!! PLEASE HELP!!!

Answers

Answer:

Answer: 5/12 or approx. 0.42

Step-by-step explanation:

The ball will displace as much water as its volume.

Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.

Volume of a sphere:

[tex]V_s=\frac{4}{3} \pi r^3[/tex]

The radius is half the diameter. The diameter of the sphere is 10, thus:

[tex]r = d/2 = 10/2 = 5[/tex]

5^3 = 5*5*5 = 25*5 = 125

[tex]V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125[/tex]

The volume of a cylinder, which will be the shape of the increase in water, is the following:

[tex]V_c=\pi r^2 h[/tex]

We know the radius r, as we know the diameter.

[tex]r=d/2=40/2=20[/tex]

[tex]V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400[/tex]

We are looking for the height of the cylinder, h, as that will be the height of the water rise.

Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:

[tex]V_s = V_c[/tex]

[tex]\frac{4}{3} * 125 * \pi = 400 * h * \pi[/tex]

We can get rid of pi by dividing both sides by pi:

[tex]\frac{4}{3} * 125 = 400 * h[/tex]

And now divide both sides by 400:

[tex]\frac{4}{3} * \frac{125}{400}= h[/tex]

Just reversing it and putting h to the left:

[tex]h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}[/tex]

I see that I can divide both the numerator and the denominator by 4:

[tex]h =\frac{125}{3 * 100}= \frac{125}{300}[/tex]

I'll now divide both the numerator and the denominator by 25 to simplify the expression:

[tex]h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}[/tex]

Answer: The water rises by 5/12 (five twelfths).

If I want an approximate decimal answer, I can simply run this expression in a calculator:

[tex]\frac{5}{12}[/tex] ≈ [tex]0.416666667[/tex] ≈ [tex]0.42[/tex]

The amount of water rise is 0.42 and this can be determined by using the formula of the volume of the sphere and the cylinder.

Given :

A stone is dropped into a barrel of water and sinks to the bottom.

The ball is completely covered by water.

The following steps can be used in order to determine the water rise in the barrel:

Step 1 - The formula of the volume of a sphere is used in order to determine the water rise in the barrel.

Step 2 - The volume of a sphere is given below:

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times r^3[/tex]

Step 3 - Substitute the values of the known terms in the above expression.

[tex]\rm V_s=\dfrac{4}{3}\times \pi \times \left(\dfrac{10}{2}\right)^3[/tex]

Step 4 - Simplify the above expression.

[tex]\rm V_s = \dfrac{4}{3}\times \pi \times 125[/tex]   --- (1)

Step 5 - The volume of the cylinder is given below:

[tex]\rm V_c= \pi\times \left(\dfrac{40}{2}\right)^2\times h[/tex]   --- (2)

Step 6 - Equate expression (1) and (2) in order to determine the value of 'h'.

[tex]\dfrac{4}{3}\times \pi \times 125= \pi \times 400 \times h[/tex]

Step 7 - Simplify the above expression.

[tex]\rm h = \dfrac{4\times 125}{3\times 400}[/tex]

h = 0.42

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A costume designer sewed 4 rows of 16 sequins on a princess costume, 5
rows of 15 sequins on a butterfly costume, and 3 rows of 17 sequins on a
ballerina costume. How many more sequins, s, did the designer sew on
the costume with the most sequins than she sewed on the costume with
the least sequins?

Answers

Answer:

24

Step-by-step explanation:

f(x) = 5x3 + 2x2 + 7x – 3

Answers

Answer:

Step-by-step explanation:

f= 7x+16 over x

Rearrange the formula for y2

Answers

Answer:

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = y2 - y1 / x1 - x2

m(x1 -x2) = y2 -y1

y2 = m(x1 - x2)+ y1

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

Multiply both sides by (x2 - x1)

m(x2 - x1) = y2 - y1

Add y1 to both sides

m(x2 - x1) + y1 = y2

y = m(x2 - x1) + y1

A teacher wrote the number 24 on the board, then the answer choices below. Which of the answer choices does not contain the number 2?

a. irrational numbers

b. integers

c. Natural Numbers

d. Whole Numbers

Answers

Answer:

a. irrational numbers

Step-by-step explanation:

Answer:

Irrational numbers does not contain the number 2(or 24, depending on if that last bit was a typo or not).

Which expression simplifies to 4v13?

Answers

Answer:

Step-by-step explanation:

It’s v208

Kenny has the following data:
4 1 b 4.
If the range is 6, which number could b be?
7
41

Answers

Answer:

7

Step-by-step explanation:

If range is 6 then the difference between highest and lowest is 6 so 1 + 6 = 7 so b is equal to 7.

Use the grouping method to factor this polynomial.
x2 + 2x2 +12x + 24
M

Answers

Answer:

B. (x² + 12)(x + 2)

Step-by-step explanation:

Step 1: Write expression

x³ + 2x² + 12x + 24

Step 2: Group and factor

x³ + 2x² → x²(x + 2)

12x + 24 → 12(x + 2)

Step 3: Combine factors

(x² + 12)(x + 2)


3(x - 5) + 6(x+1)=9​

Answers

Answer:

x=2

Step-by-step explanation:

plz mark as brainliest

Factor the following expression completely.

X^2+14xy+49y^2

Answers

Answer:

(x+7y)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x + 7y)(x + 7y)

x^2 + 7xy + 7xy + 49y^2

x^2 + 14xy + 49y^2

Anna buys 12 pens and 20 pencils for a total of $16. One pen costs $0.40 more than one pencil. What would 1 pen and 1 pencil cost?

Answers

Answer:one pencil would be $0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Describe two real-world advantages of representing quantities using scientific notation. Explain

Answers

Answer:

Scientific Notation is so useful in many ways

It makes it easier to deal with because the long numbers are converted into smaller numbers. Like for example, 0.000000000000000000000000000000000000000000045 is converted into 4.5*10^44. Isn't that MUCH MORE simpler?!?!??!

It is also used to find masses, for example, like some metals or substances that have a really smaller mass.

PLEASE HELP WILL GIVE BRAINLEST PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation: 29-8=21 so im guessing just subtract bc from Ac and that's your evidence maybe?

Answer:

i´ḿ confused

Step-by-step explanation:

One serving a Velveeta contain 13% of the daily recommended amount of calcium If it is recommended that you get 1,000 mg of calcium daily how many milligrams are in one serving of Velveeta

Answers

Answer:

130 mg

Step-by-step explanation:

As the statement indicates that the daily recommended amount of calcium is 1,000 mg and that Velveeta contains 13% of that, you have to calculate the 13% of 1,000 to find the answer:

1,000*13%=130

According to this, there are 130 mg of calcium in one serving of Velveeta.

Pls help in this 6 problems

Answers

5. 25
6. -16
7. 51
8. -15
For questions 9&10 you will just have to graph it on the graph. Hopefully I helped you tho.

what is the unit rate of the number of miles driven per number of hours of driving

Answers

Answer:

35 miles per hour

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

c  took the test on edg

A daycare center has 4 infants and 11 toddlers what fraction of the children is infants

Answers

Answer:

4/11

Step-by-step explanation:

Infants are 4 out of the 11 children total.

Answer:

4/15

Step-by-step explanation:

Identify the function type that best models the data.
ху
Exponential
42
8 6
12 18
16 54

Answers

The answer is 42,8,6 that it the right answer

please help fast brainiest for frost correct answer

Answers

Answer:

-2, -12

-1,-3

0,0

1,-3

2,-12

Step-by-step explanation:

Used algebraic calculator

Myra saved $15 a month for 18 months. She bought a book for $46.50 and a tennis racquet for $129.95. How much does she have left? A. $93.55 B. $140.05 C. $186.55

Answers

Answer:

A

Step-by-step explanation:

15*18=270.

270-46.50=223.5

223.5-129.95=93.55.

A. $93.55

Evaluate the expression 2x + 3 + (x*x), for x=4
please help!

Answers

Answer is 27
2(4) + 3 + (4*4) = 8 + 3 + 16= 27

Help!! An infomercial selling a product for "five low monthly payments of just $99" is using
which sales tactic?

Power of Nine
O Decoy Pricing
Daily Equivalent
Installment Pricing

Answers

Installment pricing

An infomercial selling a product for "five low monthly payments of just $99" is using the Installment Pricing sales tactic.

What is a Sales tactic?

Sales tactics are those actions that are designed to build trust with potential customers and inspire to buy with confidence.

An installment purchase agreement is a type of contract that is used to finance the purchase of assets. The buyer pays the seller the full purchase price over time through a series of partial payments under the terms of such an agreement. Interest, whether stated or implied, is included in the payments.

Installment payments are when a customer pays a bill in small amounts over a set period of time.

Therefore, Option (d)  is correct.

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whats 9+2= plz get it right

Answers

uhh i think 11 because count with your fingers because why nkt

Answer:

11

Step-by-step explanation:

9+2=11

7. Evaluate this expression if x=-2*
3x2 - 4x
Need help ASAP Please

Answers

Answer:

20

Step-by-step explanation:

Evaluate 3 x^2 - 4 x where x = -2:

3 x^2 - 4 x = 3×(-2)^2 - -2×4

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

3×4 - 4 (-2)

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12 - 4 (-2)

Hint: | Multiply -4 and -2 together.

-4 (-2) = 8:

8 + 12

Hint: | Evaluate 12 + 8 using long addition.

| 1 |  

| 1 | 2

+ | | 8

| 2 | 0:

Answer: 20

Reflect the following over the y-axis and find the coordinates of A':

Answers

The y axis is the vertical line so reflect shape in there
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