What is the degree of the following polynomial?

4y3 + 3y2 - y5
2
3
4
5

Answers

Answer 1

Answer:

5

Step-by-step explanation:

The degree of a polynomial simply means what the highest power of an variable is. In this case we see that y⁵ < y³ < y², so 5 would be our highest exponent and answer.

Answer 2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

In the polynomial with one variable , highest power ( exponent ) is the degree of the polynomial.

In polynomial [tex] \sf{4 {y}^{3} + 3 {y}^{2} - {y}^{5} }[/tex]

The power of 4y in the first term = 3

The power of 3y in the second term = 2

The power of y in the third term = 5

Since, the highest power is 5 , the degree of the polynomial is 5 .

Hope I helped!

Best regards!!


Related Questions

The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. The length of the parallelogram is . The width of the parallelogram is . Find the length and the width of the parallelogram.

Answers

Answer: 8 Because i do math and got 8

Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings?

Answers

Answer:

20 weeks

Step-by-step explanation:

To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:

(16*1/2)*x=((9*2/3)*x)+40, where

x is the number of weeks

Now, you have to solve for x:

8x=6x+40

8x-6x=40

2x=40

x=40/2

x=20

According to this, the answer is that it will take them 20 weeks to have the same amount in savings.

Andre cycled a distance 25km in 150 minutes. What was his average speed (km/h)?

Answers

Answer:

10 km/h

Step-by-step explanation:

First, convert 150 minutes to hours:

150/60

= 2.5 hours

Then, to find his speed, divide the km by the number of hours:

25/2.5

= 10 km/h

Answer:

10 km / hr

Step-by-step explanation:

We want to find the average speed in kilometers per hour.

We know that Andre cycled 25 kilometers in 150 minutes.

First, we have the convert 150 minutes to hours.

There are 60 minutes in 1 hour, so we can divide 150 by 60.

150/60= 2.5

Next, find the average speed in kilometers per hour.

Divide the kilometers traveled by the hours.

speed = kilometers / hours

Andre cycled 25 kilometers in 2.5 hours.

speed= 25 km /2.5 hrs

speed = 10 km/hr

Andre’s average speed was 10 kilometers per hour.

The smith want to fence their square garden which has an area of 289 square feet what would be the minimum amount of fencing needed to complete the project

Answers

Answer:

The minimum amount of fencing needed to complete the project = 68 feet

Step-by-step explanation:

The garden is a square

Let the sides of the square be L

area of square = L × L = L² = 289 square feet

L² = 289 sq ft

L = √(289

L = 17 feet

This means that each side of the garden has a dimension of 17 ft.

Ince a square has 4 equal sides, to calculate the minimum amount of fencing needed, we will find the total length of the 4 sides of the garden, which is the perimeter of the garden:

Perimeter of a square = 4 × L

= 4 × 17

= 68 feet

Therefore, minimum amount of fencing needed = 68 feet

"the sum of a number and 4."
answer?

Answers

Answer:

4+x

Step-by-step explanation:

[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

PLEASE HELP ASAP!!! NEED THEM ALL ANSWERED!!!

① Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ AB = 5(24) - 87 = ▢

② Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ RS = QR = 3(7) = ▢

③ Finish the statements:
✦ First: angle K + angle N = 180 (This one is complete)

✦ Second: x + 68 + 2x + 4 = 180 (This one is complete)

✦ Third: Combine Like Terms.....
✧ ▢ x + ▢ = 180

✦ Fourth: Subtract 72 from both sides!
✧ 3x = ▢

✦ Fifth: Divide both sides by three!
✧ x = ▢

(I don't need the steps, but feel free to show steps as well as the answers. And yes, the pictures are in order.)

Answers

Answer:

1)     x = 24

    AB = 33

    AD = 33

2)     x = 7

    PS = 21

    QR = 21

3)    x = 36

      K = 104

     N = 76

Step-by-step explanation:

1)  5x-87 = x+9

   4x = 96

   x = 96/4

   x = 24

   AB = 5(24)-87 = 33

   AD = 24 + 9 = 33

2)  4x - 7 = 3x

     x = 7

    PS = 4(7) - 7 = 21

    QR = 3(7) = 21

3)  x + 68 + 2x + 4 = 180

    x = 36

    K = 36 + 68 = 104

    N = 2(36) + 4 = 76

Name two lines in the diagram.

Answers

Answer: Line BC and Line DE

Step-by-step explanation:

In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.

For example, in the image, we can see two lines (but actually we could make more with those points)

We can see a line that connects points B and C, and we can call that line as:

Line BC

We also can see a line that connects the points D and E, we can call this line as:

Line DE

So the two lines are: Line BC and Line DE

Slope m = -5 y= intercept -4 What is the equation?

Answers

Answer:

[tex]\huge\boxed{y = -5x - 4}[/tex]

Write an equation in the format y = mx + b, or the slope-intercept formula, where:

m = slope

b = y-intercept

Plug in the values given:

y = (-5)x + (-4)

Simplify:

y = -5x - 4. This is the equation in slope-intercept form.

Answer: y=-5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Since m represents slope you will plug in -5 because that is your slope.

Since b represents the y-intercept, you will plug in -4 after y=-5x

so therefore your equation is y=-5x-4

Tried my best to explain...

how to put -7/9 and -4/9 and 1/9 and 1/2 on a number line from least to greatest

Answers

Step-by-step explanation:

Take the LCM of the denominators:

=> LCM = 18

=> -7/9 x 2/2 = -14/18

=> -4/9 x 2/2 = -8/18

=> 1/9 x 2/2 = 2/18

=> 1/2 x 9/9 = 9/18

When the number is negative, the greater the number, the smaller it is.

So, -14 is smaller than -8.

< = smaller than

=> -14/18 < -8/18 < 2/18 < 9/18

=> -7/9 < -4/9 < 1/9 < 1/2

Answer:

-7/9, -4/9, 1/9, 1/2

There's no change as this list is already from smallest to largest

==========================================================

Explanation:

We can get each denominator to 18 as this is the LCD (lowest common denominator)

-7/9 = -14/18 ... multiply top and bottom by 2

-4/9 = -8/18 ... multiply top and bottom by 2

1/9 = 2/18 ... multiply top and bottom by 2

1/2 = 9/18 ... multiply top and bottom by 9

We now have to sort this list {-14/18, -8/18, 2/18, 9/18}

Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.

The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.

So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.

--------------

An alternative is to use your calculator to see that

-7/9 = -0.78 approximately

-4/9 = -0.44 approximately

1/9 = 0.11 approximately

1/2 = 0.50

The order from least to greatest is

-0.78, -0.44, 0.11, 0.50

The -0.78 is smaller than -0.44 since its further away from 0

So the order would be

-7/9, -4/9, 1/9, 1/2

and there's no change from the original order your teacher gave you.

.......................

Answers

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?

Answers

Answer:

77

Step-by-step explanation:

3.5(11)+1.9(11)+1.6(11)

3.5(11)=38.5

1.9(11)=20.9

1.6(11)=17.6

38.5+20.9+17.6

77

Your answer is 77

3.5 x 11 = 38.5

1.9 x 11 = 20.9

1.6 x 11 = 17.6

38.5 + 20.9 + 17.6 = 77

If you need It here is my work:

Hurry please help

The permitter of a rectangle pool is 160 m the land of the pool is 20 m more than it’s with what is the length

Answers

Answer:

60m

Step-by-step explanation:

ABCD is a trapezium.
10 cm
A
B
7 cm
9 cm
D
С
15 cm
Calculate the area of ABCD.

Answers

Answer:

87.5

Step-by-step explanation:

If the measure of an angle is 13º, find the measure of its supplement.

Answers

Answer:

167°

Step-by-step explanation:

The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.

If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.

[tex]13+x=180[/tex]

We can subtract 13 from both sides to get the value of x.

[tex]13+x-13=180-13\\\\x=167[/tex]

Hope this helped!

Answer:

167

Step-by-step explanation:

Supplementary angles add to 180

x+13 = 180

Subtract 13 from each side

x = 180-13

x =167

The supplement to 13 is 167

Which equation represents exponential decay?
A. y = 160 (31)1
B. y= (3.1)
C. y = 10(0.13)
D. y = 100(1.03)*

Answers

Answer:

the answer is C

Step-by-step explanation:

because of you multiply by the decimals that less than 1, the number will decrease.

En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones refleja esta acción: ⅕ ⅝ ¾

Answers

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

b mi
a mi
a. Perimeter:
b. Area:
What is the perimeter and the area?

Answers

a. 2 (a mi) + 2 (b mi)
b. (a mi)(b mi)

(-6)(-2x – 4y); x = 1, y = 3

Answers

I need help on this one as well

Answer:

First, you have to substitute your x and y.

This looks like

(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)

Then, you have to do what's in the parenthesis because of order of operations.

(-6)(-14)

The answer is 84 I believe.

Name a point that is not collinear with points B and I.
B
1
C С
A
D
G
E
H
One such point is

Answers

All points except C are noncolinear with points B and I so one such point will be H.

What is a cube?

A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.

A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.

The surface area of the cube = 6 side².

The volume of the cube = side³.

If two or more points are lies on a single straight line then that points will be co-linear.

In a given cube,

Point B, I, and C are making a straight line(side of the cube)

So all three points will be colinear for that line.

Now point C will be colinear with point B and I but all remaining point is not passing through line BI so all point except C will not be co-linear with point B and I.

Hence, All points except C are noncolinear with points B and I so one such point will be H.

To learn more about cubes,

https://brainly.com/question/14075440

#SPJ5

The required point that is noncollinear with points B and I is point H.

Given that,
To determine the point that is noncollinear with points B and I.

What is collinear?

Collinear is defined as number of points that lie on the same line are collinear points.

What is a cube?

A cube is a 3-dimensional figure with an equal length of sides and the angle between sides are 90.


Here,
In a cube,
Line AB, BF, BC contain B, and Line BC contains I and every point other than A, B C, I , and F are noncollinear to B and I,

Thus, the required point that is noncollinear with points B and I is point H.

Learn more about collinear points here:
https://brainly.com/question/5191807
#SPJ2



Divide: (5 + 4i) / (-3 – 2i)

Answers

Answer:

-23/13 - 2/13i

Step-by-step explanation:

[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]

[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]

Hurry please ???????????????????????????????????????? Algebra 2 for cr sem 1

Answers

Answer:

have you heard of mathpapa, i think you should try that, its gotten me through algebra. i wish i could help, good luck!!

Step-by-step explanation:

Find the sum. 5/6 + 4/9

Answers

Answer:

The answer is 23/18..

5/6+4/9=23/18.

Answer:

Exact Form:

23/18

Decimal Form:

1.27

Mixed Number Form:

1 5/18

Step-by-step explanation:

A sprinter runs 400 meters in 54 seconds. What is the runner’s average running rate in meters per second? (Round to the nearest tenth.)

Answers

Answer:

Step-by-step explanation:

400 meters/54 seconds = 7.407 meters per second. when rounded to the nearest 10th you would get 7.4

Answer - 7.4

What is the area of the rhombus

Answers

Answer:

[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]

Where p is diagonal 1 and q is diagonal 2

Step-by-step explanation:

Different formulas to find the area of a rhombus are:

Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2

Using Base and HeightA = b × h

Using TrigonometryA = b2 × Sin(a)

Area = d1×d2÷2

i’ve been trying to figure out this answer. it’s algebra. at first i got 76 but i’m pretty sure it’s wrong.

Answers

Answer:

36

Step-by-step explanation:

● 3[ (4-2)^5 -20]

● 3 ( 2^5 -20 )

● 3 (32-20)

● 3× 12

● 36

The scale for a map to actual distance is 2 cm to 100 mi. The driving distance on the map between Los Angeles and Las Vegas is 5.4 cm. What is the actual distance, in miles, between Los Angeles and Las Vegas?

Answers

Answer: 270 miles

Step-by-step explanation:

From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.

The actual distance, in miles, between Los Angeles and Las Vegas will go thus:

= 5.4cm/2cm × 100mi

= 2.7cm × 100miles

= 270 miles

Please answer ASAP! Describe how you would graph a figure that is translated by (x - 4, y + 2). I will pick you as brainliest!

Answers

Answer:

the answer is 3820

Step-by-step explanation:

first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).​

Answers

Answer:

7

Step-by-step explanation:

[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]

To find f(-2) , Substitute -2 for x in the given equation ;

[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]

To find g(f(-2)) ;

[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]

To find g(2) , substitute 2 for x in the given equation

[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]

Value of g(f(-2)) is equals to 7.

What is composition function?

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

Learn more about composition function here

https://brainly.com/question/20379727

#SPJ2

If a and b are real numbers, then (a + b)2 = a2 + b2 Provide a counterexample for the statement.
a = 0 and b = 1
a = 1 and b = 0
a = 1 and b = 2
a = 0 and b = 0

Answers

Answer:

a = 1 and b = 2

Step-by-step explanation:

Input the counterexample into the formula.

(a + b)² = a² + b²

(1 + 2)² = 1² + 2²

(3)² = 1 + 4

9 ≠ 5

This proves that the statement is false.

Find the distance between the points (2,-9) and (-1,4)

Answers

Answer:

The answer is

[tex]\sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-9) and (-1,4)

The distance between them is

[tex]d = \sqrt{ ({2 + 1})^{2} + ({ - 9 - 4})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 13})^{2} } \\ = \sqrt{9 + 169} \\ [/tex]

We have the final answer as

[tex] \sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]

Hope this helps you

Answer:

[tex]\sqrt{178}[/tex] ≈ 13.3

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)

d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]

   = [tex]\sqrt{(-3)^2+13^2}[/tex]

   = [tex]\sqrt{9+169}[/tex]

   = [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )

Other Questions
7. Experimental value of acceleration due to gravity is found to be9.842 m/s. The accepted value of acceleration due to gravity is9.81 m/s2. What is the percent error in calculation?a 0.326 %b 0.316 %C 0.981 %d 0.613 % [Calc1] Help with 2 questions?(B) What is the least squares regression line(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points. You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter. Describe cellular respiration. How do plants and animals help each other in cellular respiration? Suppose you are implementing the Comparable interface in a class representing a Book, where the ordering is based on the number of pages in the book. Write a compareTo method for this class. You may assume that in the Book class there is an instance variable called numPages and a method called getNumPages. Put the numbers 1.01, 10.01, 1.11, 1.011 in order from greatest to least? If Julie applies 2.67 Newtons of force down onto the table, howmany pounds of force is she applying? Llbs (Write youranswer two significant figures) A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes a circular orbit having a radius equal to that of Mercurys orbit around the Sun (5.80 1010m). What is the magnetic field in that region of space? Explain the difference between local extinction and species extinction. aerobic respiration produces glucose true or false If : X ~ N (30,0?), n= 10, S2 = 5 then P(< 32) = whats 1+2*5(6/7)=? will mark brainliest While conducting a goodness-of-fit test if the observed and expected values are close, you would expect which of the following? A. Large X2 value, large p-value B. Small x2 value, large p-value C. Large X2 value, small p-value D. Small X2 value, small p-value A customer wants to set up a VLAN interface for a Layer 2 Ethernet port. Which two mandatory options are used to configure a VLAN interface? (Choose two.) Three friends went shopping. Danetta spent $25 more than Elaine spent, but Jan spent $35 less than Danetta spent. If they spent $165 in all, how much did each of the friends spend? I need help with atomic numbers can you please teach me and tell me the answer you will get 10 points Please help me fast:Before a sale, an items price was $45.00. After the sale discount the price became $38.25. What was the percent of the sale discount?Solve:d5.67y=4(2y0.9)+2.4 A high school in the United States has a relationship with a high school in Japan. all the students in each school are assigned to a student at the other school. The students write messages to each other week, describing what they did in school that week. This program is most strongly repeated to which aspect in life? Society, culture, ethics, or economy? The Declaration of Independence states "Governments are instituted among Men, deriving their just powers from the consent of the governed." This was a revolutionary change from the system of British monarchy, which was based on the divine right of kings. For which of the ideals of democracy does this quote provide a foundation? Which section of this passage is an example of an independent clause?The last day of school is always an amazing day for myfriends and me. First, we eat at our favorite pizzarestaurant. Then, after we've stuffed ourselves, we go tothe bowling alley. After bowling a couple of games, wehead to the movies for the latest horror movie. If we stillhave time left, we head back to the pizza place for morefood.A. After bowling a couple of gamesB. we head back to the pizza placec. for more foodD. for the latest horror movie