f(x)=3x^4-5x^2 this function is because

Answers

Answer 1

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

Is this a function?

A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.

For example, if we had:

y = ±√x

Notice that for the same input x = 1, we would have two outputs:

y = 1 and y = -1.

So that is not a function.

Now, for the given one:

[tex]y = f(x) = 3x^4 - 5x^2[/tex]

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

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Related Questions

PLEASE HELP!
Find the degree measure of each numbered angle.

Answers

Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

The interior angles in a triangle sum to 180°

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

m∠1 = 76°

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

m∠2 = 76°

The interior angles in a triangle sum to 180°

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

m∠3 = 36°

What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?

Answers

Answer: A

Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition

Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))

Answers

Answer:

19-73 19-73 and the other half way back home from the

to ghana 5hjgf and to the 8

PLEASE HELP ASAP
(Picture shown)

Answers

Answer:

-2x+3

Step-by-step explanation:

Gradient is change in y over change in x

[tex] \frac{2}{1} [/tex]

=2

and then

+3 because that's where it cuts the Y axis

I think it might be -2x +3


What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4

Answers

Answer:

6x+4+3x²

Step-by-step explanation:

Given polynomials:

(6x+7+x²)+(2x²-3)

Solution:

(6x+7+x²)+(2x²-3)

Removing brackets,

6x+7+x²+2x²-3

Collecting like terms,

6x+7-3+x²+2x²

Simplifying ,

6x+4+3x²

Done!

Hence option 3 is correct.

What is quadratic equation?

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0.

The given expression is;

(6x+7+x²)+(2x²-3)

Now add the like term in the given expression,

⇒   x² + 2x² + 6x + 7 - 3

⇒ 3x² + 6x + 4

Hence,

The sum of polynomial is 3x² + 6x + 4.

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The editor of a school magazine polled randomly selected students in the 8th, 9th, and 10th grades. They were asked which activity they enjoyed the most: watching sports, reading, or listening to music. The two-way frequency table shows the data she collected.

(see attachment for table)

Based on the data in the table, what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?

A. 0.39
B. 0.37
C. 0.35
D. 0.33

Answers

Answer:

D 0.33

Step-by-step explanation:

based on the table you would just divide 13/39 which is 0.33

I hope i am right

Answer: 0.37

Step-by-step explanation:

Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"

X Y
-2 6
0 3.5
2 1
4 -1.5
Which equations represent the data in the table?
Check all that apply.
y-6= =5 (x+2)
y-2=-(x-1)
y + 2 = S(x-6)
y-1=-(x-2)
y-3.5 = -1.25.x

Answers

Using the point-slope equation, the equations that represent the data are:

y - 6 = -1.25(x + 2)

y -3.5 = -1.25x

What is the Point-Slope Equation?

Given a point (a, b) and slope (m), the point-slope equation is expressed as, y - b = m(x - a).

Find the slope (m) using two pairs from the table of values say, (-2, 6) and (2, 1):

Slope (m) = change in y / change in x = (6 - 1)/(-2 - 2) = 5/-4 = -1.25

Using the point, (a, b) = (-2, 6) and m = -1.25, plug the values into y - b = m(x - a):

y - 6 = -1.25(x - (-2))

y - 6 = -1.25(x + 2)

This cam be rewritten as:

y - 6 = -1.25x - 2.5

y - 6 + 2.5 = -1.25x

y -3.5 = -1.25x

The equations that represent the data in the table are:

y - 6 = -1.25(x + 2)

y -3.5 = -1.25x

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[tex]\frac{16x^{2} y^5}{(-4x^-6)( y^8)}[/tex]

simplify

Answers

Answer: X= 0, Y=0
Explain: step by step

square root of 342354456​

Answers

Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

Solve for x ~

[tex] \sf \rightarrow2x + 5x = 14[/tex]

provide explanation ​

Answers

X= 2

Explanation-

2x + 5x = 14

7x = 14

Divide both side by 7

x = 2

Solution: x=2 ✅

[tex]\searrow[/tex]

⚜Detailed explanation: ⚜

In this problem we need to solve for x, the unknown.

First, note that the terms 2x and 5x have an x in them, so why not add them and make life easier?

[tex]---\mapsto\boldsymbol{2x+5x=14}\\\\---\mapsto\boldsymbol{7x=14}[/tex]

We're getting closer! Now we know that if we multiply 7 times the unknown, we'll get 14. So let's divide both sides by 7! Then we will have the value of the unknown.

[tex]---\mapsto\boldsymbol{x=2}[/tex] is what we obtain upon dividing

Superb, it's ez as winking!

_________________________________________

Voila! There's our solution!

Cheers!! ^-^

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

____________________________________________

NOTE: I DO NOT NEED A LONG ANSWER
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?

Answers

Answer:

Scale factor is 3

I think it’s 3 bec left side is 2 then the other shape is 6 so that’s 3x

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the fruit market?

6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue

Answers

Answer:

The Fruit market is at -  6th Street and 11th Avenue

Step-by-step explanation:

Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.

for example :-

if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-

[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.

using the above formula :

distance between points (4, 8)  and (12, 20) is:

[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]

√(8² + 12²)

√208

14.42

Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.

therefore,

3/4×14.42  = 10.8

now we can check that option (A ) i.e. (6, 11)  distance from lei home i.e. (12, 20) is equal to 10.8

hence the fruit market is at the = 6th Street and 11th Avenue

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Answer:

A

Step-by-step explanation:

several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2 ,3 and so on .The people at positions 3 and 15 are directly opposite each other how many people are sitting at the table

Answers

12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.

The people at positions 3 and 15 are directly opposite each other.

Then the number of the people are sitting at the table will be

1 is opposite to 13

2 is opposite to 14

3 is opposite to 15

Similarly, 12 will be opposite to 24.

Then the number of the people are sitting at the table will be 24.

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8) Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.

Answers

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Solve the following system of equations. Show all work and solutions.

y = 2x2 + 6x + 4
y = −4x2 + 4

Answers

Please check out the attached photo

Which linear inequality is represented by the graph?

Answers

Step-by-step explanation:

5 because you have to round

Answer:

5

Step-by-step explanation:

because you have to round

Source: trust me bro

Please help me out…

Polygon ____ and polygon ____ are similar to polygon 1.

Answers

Polygon 3 and 4 are similar to polygon 1.

Polygons will be called similar if they are exactly in the same shape, but can be in different sizes.

Here given, Some of the images are images of the polygon 1 from similarity transformations.

So we have to find the similar polygon from the given picture.

From picture it is clear that Polygon 2 is similar to polygon 1 as the size of polygon 2 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 as we can their corresponding angles are also equal.

Also, polygon 3 is similar to polygon 1 as the size of polygon 3 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 and reversed of polygon 1. So polygon 3 is of the same orientation as polygon 1 as we can their corresponding angles are also equal.

So from above, it is clear that Polygon 1 is similar to polygon 3 and 4 as they have the same shape but different sizes.

Therefore Polygon 3 and Polygon 4 are similar to polygon 1.

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$Need help with this pls (quickest answer gets brainliest)

Answers

Answer:

-1/2

Step-by-step explanation:

IK

What shift will occur to the graph given the following equation?
y≤ |x + 2|
Graph will shift 2 units to the left.
Graph will shift 2 units to the right.
Graph will shift 2 units down.
Graph will shift 2 units up

Answers

Answer:

Graph will shift 2 units to the left

The graph will shift 2 units left a positive in the function is a shift left

what is 500 - 250 + 5/30 % by 121 + π × f if f = 256 pls help

Answers

Answer:

I am not sure but 31054.449

Step-by-step explanation:

Answer:

0.27037

Step-by-step explanation:

numerator is 250.16667

denominator is 925.2477

answer is 0.27037

PLEASE SOLVE THIS
Also I really don't want a long answer so you don't have to give me an explanation

Answers

Answer:

No

Step-by-step explanation:

To determine if a point is a solution to a system of equations, you need to determine if the point is a solution to both equations.

Is ( 2,10) a solution to -3x-4y = 4

Substitute into the equation and see if it is true

-3(2) -4(10) = 4

-6 -40 = 4

-46 =4

This is not true so it is not a solution

Answer:

No

Step-by-step explanation:

The solution(s) of a system is/are the point(s) (x, y) where the lines intersect.

The question asks if (2, 10) is a solution of the system. This means the "x" value is "2" and the "y" value is "10".

We can substitute those values into both of the equations.

[tex]-3x-4y=4\\-3(2)-4(10)=4\\-6-40=4\\-46=6 \Rightarrow Incorrect![/tex]

The "x" and "y" values must be true for both equations, therefore (2, 10) is not a solution of the system.

2. Estimate the square root to the nearest integer. 5 4 6 7

Answers

ggggggggggggggggggggggg

Rearrange the equation 4-4x-2y=0 into the form of y=mx+c

Answers

Answer:

y = -2x+2

Step-by-step explanation:

4-4x-2y=0

4-4x = 2y

2y = 4-4x

y = (4-4x)/2

y = 4/2-4x/2

y = 2 -2x

y = -2x+2

Nadine had 20 minutes to do a three-problem quiz. She spent 10 7/10 minutes on question A and 6 2/5 minutes on question B. How much time did she have left for question C?

Answers

She has 2 minutes and 54 seconds left for question C.

20 minutes total

10 minutes and 42 seconds on question A
6 minutes and 24 seconds on question B
= 17 minutes and 6 seconds spent on both questions

20 minutes minus 17 minutes and 6 seconds = 2 minutes and 54 seconds

What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .

Answers

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bought 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?

Answers

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

Box of orange = $3.5 Box of cherry = $7.5

Define the face value. Choose the correct answer below.
A. The simple interest rate that the issuer promises to pay.
B. The status of the secondary bond market.
C. The date on which the issuer promises to repay the money.
D. The price that must be paid to the issuer to buy it at the time it is issued.

Answers

Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.

What is face value?

If the bond issuer doesn't default, face value, also known as par value, is the sum that is paid to a bondholder at the bond's maturity date. Bonds offered on the secondary market do, however, change in response to interest rates.

Therefore Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.

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Find the point Q along the directed line segement from point R (-3, 3) to point S(6, -3) that divides the segment in the ratio 2:1.

A. (3, 0)
B. (6, -4)
C. (0, 1)
D. (3, -1)

Answers

Answer: (3,-1)

Step-by-step explanation:

distance between R & S x values: 9

distance between R & S y values: -6

multiply each by 2/3 (the proportion)

9/1 x 2/3 = 6; -6/1 x 2/3= -4

add the answers to R x & y values:

-3 + 6= 3; 3 - 4= -1

Answer:

D

Step-by-step explanation:

using the section formula

(x₁, y₁ ) and (x₂, y₂ ) divided in the ratio m : n , then

point = ([tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] )

thus for R (- 3, 3 ) and S (6, - 3 ) in the ratio 2 : 1

Q = ( [tex]\frac{2(6)+1(-3)}{2+1}[/tex] , [tex]\frac{2(-3)+1(3)}{2+1}[/tex] )

   = ( [tex]\frac{12-3}{3}[/tex] , [tex]\frac{-6+3}{3}[/tex] )

  = ( [tex]\frac{9}{3}[/tex] , [tex]\frac{-3}{3}[/tex] )

  = (3, - 1 )

WILL GIVE BRAINLIEST
Stephen is training for the upcoming sports season by running each morning. Below are the distances he ran this week. How far has Stephen run?
Distances (in km)
Monday 1.3
Tuesday 1.75
Wednesday 2.25
Thursday 2.5
Friday 3.0

A. 10.8 km

B. 9.5 km

C. 6.9 km

D. 11.6 km

Answers

Answer: A. 10.8 km

Step-by-step explanation:

add up all the days:

1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km

f(x)=x+2 g(x)=x-4
(f g)(x) =
O2x-2
O²-8
02-2x-8
Ọ x2+2x-8
Solve for (f g)(x)

Answers

Step-by-step explanation:

please mark me as brainlest

The new function (fog)x will be x - 2.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find (f g)(x), we need to evaluate f(g(x)).

First, we need to find g(x):

g(x) = x - 4

Next, we substitute g(x) into f(x):

f(g(x)) = f(x - 4)

Now we can simplify:

f(x - 4) = (x - 4) + 2

f(g(x)) = x - 2

Therefore, (f g)(x) = x - 2.

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