Write the polynomial in standard form. State the degree and leading coefficient:

−9 + 7m^3 − 11m + 3/5m^5

Degree:_____________
Leading Coefficient:_____________

Answers

Answer 1

Answers:

Standard form = [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]Degree = 5Leading coefficient = 3/5

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

Explanation:

The largest exponent term is what will go first. Then the term with the second largest goes next, and so on. We count the exponents down. The exponents will count down in this case as 5, 3, 1, 0

Note: -9 = -9*1 = -9m^0 and -11m = -11m^1

So that's why standard form is [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]

We can write this as (3/5)m^5 + 7m^3 - 11m - 9

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

The leading term is the first term after getting everything in standard form. The coefficient of the leading term is the leading coefficient. So in this case, it would be 3/5.

The degree is the largest exponent. So the degree is 5. This is a quintic polynomial.


Related Questions

someone please help !

Answers

For #2 they would make 394 dollars because they earn 2 dollars per bracelet, and I know that because the slope is 2

A group of three friends have 3 different jobs. Mallory makes $9 an hour at Kroger, Chandler makes $11 at HEB, and Sophia makes $8 at Cinemark. All together they worked a total of 40 hours and earned $370. Mallory worked twice as many hours as Chandler.
How many hours did each friend work?

Answers

Answer:

22 hour i think :)))))))

Question 3 40 pts
An object is attached to a spring that is stretched and released. The equation d = a (cos(bt)) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. If a = 5 and b = 5 Approximately when will the object be 2 inches above the rest position? Round to the nearest hundredth, if necessary.

Answers

Answer:

The object will be 2 inches above the rest position when at approximately 0.23 seconds

Step-by-step explanation:

The given parameters are;

The equation that models the distance, d, of the object in inches above or below the rest position = a×(cos(b·t))

If a = 5 and b = 5, we have;

d = 5 × (cos(5 × t))

When the object is approximately 2 inches above the ground, we have;

d = 2 = 5 × (cos(5 × t))

cos(5 × t) = 2/5

5 × t = cos⁻¹(2/5) ≈ 1.16

t =  (cos⁻¹(2/5))/5 ≈ 1.16/5

t ≈ 0.23 s

The object will be 2 inches above the rest position when t ≈ 0.23 s.

What are the three steps to dividing fractions

Answers

Answer:

There are 3 or more steps to dividing fractions

Step-by-step explanation:

1. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator)

2.Next, multiply the two numerators

3.Then, multiply the two denominators.

4.Finally, simplify the fractions if needed

1. Which example shows the zero product
property?
A. a(b + C) = ab + ac
B. (a+ b) + 9 = a (9 + b)
C. a+ a+a = 3a
D. a(0)

Answers

Answer:

The answer is C.....im pretty sure I took the test

Step-by-step explanation:

Rob has 40 coins, all dimes and quarters, worth $7.60. Write the system needed to determine the
number of dimes and quarters.

WILL GIVE BRAINLIEST

Answers

Answer:d + q = 40 -----> d = 40 - q

10d + 25q = 760

Substitute!

10(40 - q) + 25q = 760

400 - 10q + 25q = 760

15q = 360

q = 24

d = 40 - 24

d = 16

Step-by-step explanation:

Cassie and her friend Molly played the balloon-pop game at the Belltown County Carnival. Cassie threw a total of 10 darts, 7 of which popped balloons. Molly threw a total of 5 darts, 4 of which popped balloons. Who had a greater ratio of darts that popped balloons to total darts?

Answers

Answer:

Molly had a greater ratio.

Step-by-step explanation:

If I were to multiply Molly's ratio by two it would give us 10:8 which is now comparable to 10:7 and 10:8 is greater than 10:7, therefore, Molly had the greater ratio. Hope this helps! Have a great day!

someone please answer this for me :)

Answers

Answer:

1) 1 and 1/8

2) 2 and 5/7

3) 1 and 8/9

Hope this helps :)

Step-by-step explanation:

Answer:

1. 1 and 1/8

2. 2 and 5/7

3) 1 and 8/9

Step-by-step explanation:

What is the slope for 22x-5y=-8

Answers

Answer:

22/5 is the slope I think

Step-by-step explanation:

22x-5y=-8

-22x

-5y=-8-22x

Divide by -5

Y= 8+22x/5

Help plsssssssssssss

Answers

Answer:5

Step-by-step explanation:-7+8=1 so-3+8=5

I just need go with the one I selected ​

Answers

x + y + 2x = 180

180 = x + 60 + 2x
180 = 3x + 60
120 = 3x
x = 40

3x + y = 180
120 + y = 180
y = 60

What is the slope of the line

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1-0}{5-2}[/tex]Subtract:                       [tex]m=\frac{-1}{3}[/tex]

And we have our answer!

What does -B + a = 8 mean

Answers

Answer:

Step-by-step explanation:

If you're looking to find what b= Subtract a from both sides

-b=-a-8

Then divide negative 1 from both sides to equal

b=a+8

If you're looking to find what a= Add b to both sides

a=b+8

what is 3/4(2x+5)=5(x+12)

Answers

Answer:

--16 1/14, -225/14 or -16.07

Step-by-step explanation:

3/4(2x+5)=5(x+12)

3x/2+15/4=5x+60

-225/14

solve the inequality 3x-3<9

Answers

Answer:

x < 4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

3x - 3 < 9

Step 2: Solve for x

Add 3 to both sides:                    3x < 12Divide 3 on both sides:                x < 4

Here we see that any number x smaller than 4 would work as a solution.

Answer:

x < 4 is the answer.

Step-by-step explanation:

3x - 3 < 9 <----- This is the original question.

3x - 3 + 3 < 9 + 3 <----- Add 3 to both sides.

3x < 12 <-----Simplify

3x/3 < 12/3 <----- Divide both sides by 3.

x < 4 = x is less than 4

Hope this helps! :)

1000 + 6901 - 64 = ?​

Answers

Answer:

7837

Step-by-step explanation:

1000 + 6901 - 64 = ?​

=7837

what's the answer to this quadratic equation
(x - 18)^2 = 1

Answers

Answer:

x=17 or x=19

Step-by-step explanation:

(x−18)^2=1

First, simplify both sides of the equation.

x*2−36x+324=1

Then subtract 1 from both sides.

x^2−36x+324−1=1−1

x^2−36x+323=0

Factor left side of equation.

(x−17)(x−19)=0

Then set factors equal to 0.

x−17=0 or x−19=0

x=17 or x=19

Answer:

Its either x=17 or x=19

Step-by-step explanation:

In a trivia competition, Dan had accumulated 600 points.Then he lost 450 points in the fashion category.What was his score at that point?

A.110

B.150

C.180

D.1050

Answers

Answer:

its d

Step-by-step explanation:

Triangle CEN is congruent to Triangle CED. What property is shown by line segment CE being congruent to line segment CE?

Answers

Answer:

C. Reflexive property

Step-by-step explanation:

When a line segment is congruent or the same as itself, it is considered to have a property known as reflexive property.

This means line segment CE is a mirror image of itself. Therefore, line segment CE is congruent to line segment CE.

Line segment CE is what divides the figure given into two equal halves, making both parts congruent to each other.

What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?

Answers

31 because it is adding 2 to each number

PLEASE HELP!! 15 POINTS!!!!

Answers

A. Is y=2x+3
B. Is y=-x+6 or in pt slope form y-5=-1 times (x-1)
C. Is (1,5) you can graph the slope intercept form equations to show your work :)

what is the slope of a line with endpoints (-11,5) and (5,-7)

Answers

Answer:

-6/8

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)

Slope=5+7/-11-5

=-12/16

= -6/8

So the slope is -6/8

Slope K = (y2-y1)/(x2-x1)
Point 1 = (-11,5) Point 2 = (5,-7)

Slope K = (-7-5)/(5+11) = (-12)/16 = -3/4

I ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?

WILL MARK BRAINLIEST!!!

Answers

multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products

YW is the perpendicular bisector of ZT.
If TW = 3, YW = 8, and XZ = 12. Find XY.

Answers

Answer:

XY = 17 UNIT

Step-by-step explanation:

Given:

TW = 3

YW = 8

XZ = 12

Find:

XY

Computation:

TW = ZW = 3

So,

XW = 12 + 3

XW = 15

So

XY = √XW²+YW²

XY = √15²+8²

XY = √289

XY = 17 UNIT

Applying the definition of perpendicular bisector and the Pythagorean Theorem, the value of XY is calculated as: 17 units.

Recall:

A perpendicular bisector of a line divides a line segment into two equal halves.Also, it forms two opposite right angles on the point of bisection.

Considering the diagram attached below, we are given that:

[tex]TW = 3\\\\YW = 8\\\\XZ = 12[/tex]

We need to find the length of XY.

Applying the Pythagorean theorem:

[tex]XY = \sqrt{XW^2 + YW^2}[/tex]

XW = XZ + WZ

XZ = 12 (given)

WZ = TW = 3 (congruent segments)

Thus:

XW = 12 + 3

XW = 15

Plug in the values of XW and YW into [tex]XY = \sqrt{XW^2 + YW^2}[/tex]

Thus:

[tex]XY = \sqrt{15^2 + 8^2}\\\\\mathbf{XY = 17}[/tex]

Learn more here:

https://brainly.com/question/1761937

Can someone please take there time to do this every time I asked it’s wrong

Answers

Answer:

5/3x - y = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Standard Form: Ax + By = C

Step-by-step explanation:

Step 1: Define

Find points from graph.

x-int (3, 0)

y-int (0, -5)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-5-0}{0-3}[/tex]Subtract:                       [tex]m=\frac{-5}{-3}[/tex]Simplify:                        [tex]m=\frac{5}{3}[/tex]

Step 3: Write Slope-Intercept Form

y = 5/3x - 5

Step 4: Find Standard Form

Subtract 5/3x on both sides:          -5/3x + y = -5Multiply both sides by -1:                5/3x - y = 5

And we have our answer!

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?

Answers

Answer:

I cant see it so can u do something so i can see it plz

PLEASE HELP ME IM DESPERATE!

Answers

Answer:

3/12

Step-by-step explanation:

The slope is Rise over Run

They gave you the rise of 12ft

and a horizontal change is equal to run which is 100.

12/100 simplifies to 3/12.

Hope this helps.

Identify the interval(s) on which the quadratic function is positive.

y = 5x² - 46x + 77

Answers

Answer:

Step-by-step explanation:

y = 5x² - 46x + 77

If you want the roots they are 11/5 and 7 both positive.

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?
6
7
14
15

Answers

Answer:

14

Step-by-step explanation:

got it right on edge 2020 got 100% on the quiz

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?

6

7

-->14

15

PLS HELP ASAP IM FAILING MATH

Answers

Answer:

1.B

2.A

3.D

4.C

Step-by-step explanation:

Hello! Since f(a) = 5a + 12, you need to substitute the a values into the equation.

For example, 1:
1. a = 6; you will substitute the a value for 6.
f(a) = 5a + 12
f(a) = 5(6) + 12
f(a) = 30 + 12
f(a) = 42

Do the same for the other ones. This will help you not fail math.
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