Which of the following is the correct order of the polynomial
2y5+y+3y7-4y³ +12?

The remainder of the polynomial equation is -49

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]

Using the long division method, we have:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]

Learn more about finding the remainder of a polynomial equation here:

https://brainly.com/question/24978997

#SPJ1

Answer:

There are no "following values" in the problem.

Step-by-step explanation:

ƒ(x) = -2x + 3

For any value of X, enter that number in the equation and calculate f(x) [y].

For example, if x is 2:  

ƒ(x) = -2x + 3

ƒ(2) = -2(2) + 3

y =  -2(2) + 3

y = -4+3

y = -1

The ordered pair for when x=2 would be (2,-1)

Answer:

Draw a line from one point A to B into the XY line in a angle

Draw a line parallel to the lines

Point a dot in the middle and name it O

Step-by-step explanation:

Hope it helps

1) The normal room temperature is said to be about 20°C

2) 5 day is equivalent to 120 hr

3) 756 m³/s is equivalent 56000 L/s

4) It would take the snail 5 hours to crawl 75 m

An equation is an expression that shows the relationship between two or more numbers and variables.

1) The normal room temperature is said to be about 20°C

2) 1 day = 24 hr

5 day = 5 day * 24 hr per day = 120 hr

3) 1 m³ = 1000 L

756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s

4) 1 m = 100 cm

75 m = 7500 cm

Time = 7500 / (25 cm/min) = 300 min = 5 hours

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

35, 31, 25, 18

Step-by-step explanation:

10 x 7/2 = 35

10 + 7 + 14 = 31

8 1/3 x 6/2 = 25

4 1/3 + 5 1/3 + 8 1/3 = 18

The set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function , Option D is the correct answer.

The correct option 4 is

{(10,5), (-10,-5), (5,10), (-5,-10)}

A function is a law that states relation between a dependent variable and an independent variable .

For a data to satisfy being a function ,

For every individual value of x , there should be one value of y

If there are two values for a single x then the data set doesn't represent a function but it shows a relation.

For Option 1,2 and 3 , for the same value of x there are two values of y and in only the last set the value is different.

Therefore the set {(10,5), (-10,-5), (5,10), (-5,-10)} represents a function

Option D is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

Answer:

[tex]n = 14[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]

Answer:

4.4

Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40

Answer:

Ф = 2pi/3 , 4pi/3

Step-by-step explanation:

1 + cos Ф = 1/2

Subtract 1 from each side

1 + cos Ф -1 = 1/2-1

cos Ф = -1/2

Take the inverse cos of each side

cos^-1 ( cos Ф )= cos^-1(-1/2)

There are two solutions for the inverse cos of (-1/2), 2pi/3  and 4pi/3

 Ф = 2pi/3 +2 npi  

Ф = 4pi/3  + 2n pi  where n is an integer

We are limited to the interval between 0 and 2pi

Ф = 2pi/3 , 4pi/3

Answer:

5

Step-by-step explanation:

the angles need to add up to 180

60 + 40 =100

180 - 100 =80

80 - 5 =75

75/15 =5

Answer:

5x(2x - 1)

Step-by-step explanation:

Factor 10x^2 - 5x:

Then:  10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms

Answer:

[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]

Step-by-step explanation:

If we look at all of the terms in this binomial, we can see that they both have 5x in common.  We can now factor 5x out of the equation to get our answer.

To do this, we must divide both terms by 5x.

[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].

So, our final answer is [tex]5x(2x-1)[/tex].

Answer:

800 is the answerrrr....

Answer:

A = -12

Step-by-step explanation:

A   put in -2 for 'x' in the equation to find value

       2(-2)  - y = 8       add 4 to both sides

              -y = 12

               y = -12              

        I think YOU can now find B and C  with this method !

The trigonometric relation is solved and the length of side DE is given by the relation DE = 3.8 ( tan 40° )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔEFD

Now , the measure of side EF = 5 units

The measure of side DF = 3.8 units

And , from the trigonometric relations , we get

tan θ = opposite / adjacent

On simplifying , we get

tan 40° = DE / DF

Multiply by DF on both sides , we get

DE = 3.8 ( tan 40° )

Hence , the trigonometric relation is solved

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ7

rate of change is change in y / change in x

(-1 - -3)/ (0 - -6) = 2/6 = 1/3

initial value is the y value when x is 0 , which is -1

Answer:

20/7

Step-by-step explanation:

5×4/7

numerator5×numerator4=20

denominator 7×denominator1=hence,answer is

20/7

Answer:

Hence - 7 is the answer

Pls mark me brainliest plss

Answer:

See attached image

Step-by-step explanation:

Answer:

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

Step-by-step explanation:

please mark me brainlist and follow me

The graph first represents the provided piecewise function option first is correct.

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]

[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]

[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

brainly.com/question/12561612

#SPJ1

Answer:

#1 (4b + 6a) #2  150y

Step-by-step explanation:

#1 :area of right triangle: ab/2

4x2/2 = 4b

area of rectangle: length x width

2 x 3 = 6a

#2:

5y + 2.5y = 7.5y x 2 = 15y

so the top and bottom are both 15 y

the sides are each 5y so thats 10 y

15x10= 150y

Answer:

10, 14, 18

Step-by-step explanation:

We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.

Answer:

The third option: y=4x-2

Step-by-step explanation:

Slope-intercept form formula is: y=mx+b

First option is not correct because it has a number before the y value.

Second option is not correct because x is on the left of the equal side instead of the right.

Third option is correct.

Fourth option is not correct because it is written in standard form.

Hope this helps!

If not, I am sorry.

Answer:

[tex]45[/tex]

Step-by-step explanation:

[tex]\tan 45^{\circ} = \dfrac{\sin 45^{\circ}}{ \cos 45^{\circ} }\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin\left(90^{\circ} - 45^{\circ} \right)}\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin 45^{\circ}}\\\\\\~~~~~~~~~~=1[/tex]

Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

Step-by-step explanation:

sorry but I dont know

Answer: 654 grams

Step-by-step explanation:

that's the answer it gave it when I got it wrong.

Answer:

y = 1.5x + 1

Step-by-step explanation:

→ Choose 2 points

( 2 , 4 ) ( -2 , -2 )

→ Find the gradient

-6 ÷ -4 = 1.5

→ Write into format

y = 1.5x + c

→ Substitute in ( 2 , 4 )

4 = 3 + c

→ Minus 3 from both sides

1 = c

y = 1.5x + 1

The correct answer is option A which is  Observational study.

This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).

The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).

Therefore the correct answer is option A which is  Observational study.

To know more about observational studies follow

https://brainly.com/question/14393640

#SPJ1

The general equation

B is period and A is amplitude

RearrAnge

Period:-

So final equation

Option C