Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).​

Answers

Answer 1

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]


Related Questions


Answer choices
10%
30%
25%
No links no links I will report

Answers

I think 25% I’m sorry if I’m wrong but it seemed more reasonable

find the measure for the angle of theta

Answers

Answer:

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

Evaluate (3.68)²26705
55​

Answers

Answer:

I am sorry I need points I am really sorry

Answer:

Step-by-step explanation:

0.0000368

Find the surface area of the following figure with the given dimension

Answers

Answer:

The surface area is 54 square feet

Step-by-step explanation:

Given

The attached figure

Required

The surface area

This is calculated as:

[tex]SA = 2(LW + LH + HW)[/tex]

Where

[tex]L = Length\\ W = Width\\ H = Height\\[/tex]

So,

[tex]SA = 2 * (3 * 3 + 3 * 3 + 3 * 3)[/tex]

[tex]SA = 54[/tex]

pair of ratios. 1 : 2 = ___ : 8

Answers

Answer:

4

Step-by-step explanation:

Answer:

1 : 2 = 4 : 8

Step-by-step explanation:

• A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?​

Answers

Answer:

Step-by-step explanation:

so you want to know the formula for the volume of a cylinder

volume (cylinder) = area of the circular base * height

2279.64 = area of a circle + height

area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

they tell us the radius is 11 feet   so r = 11

circle = [tex]\pi[/tex][tex]11^{2}[/tex] = 38013271

2279.64 = 38013271 * height

2279.64 / 38013271 = height

5.996958 = height   in feet

Can someone help me on this ASAP pls I really need to know this

Answers

Answer:

A is bethel

B is below sea level by 22 feet

C is I would describe the elevation very low  lowest elevation in North America

D is 0 the elevation is right at sea level.

E is  has a lower elevation and is one of the lowest major cities in the entire United States.

Step-by-step explanation:

Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?

Answers

Answer:

9 pieces represent 3/ 4 because

3/4 × 12 parts = 9 parts

mark me as brainliest

Answer:

9 pieces

Step-by-step explanation:

12 x 3/4 = 9 or

3/4 converted to a decimal = .75 and 12 x .75 = 9

Which statements are true about the expression that y +92 Choose ALL that apply.

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

A, C, D, and F


Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4

Answers

Answer: b and d

Step-by-step explanation:it IS

Work out and simplify where possible 3/5+7/8

Answers

assuming those r fractions
find a common denominator
3/40 + 7/40
= 24/40 + 35/40
= 59/40
mixed fraction: 1 19/40

If sin x=3/4,then cos x

Answers

If sinx=3/4 then cosx= ??​ - 8219182.

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20

Answers

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

In a survey of 1012 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1012 ​surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.

Answers

Answer:

%52.87

Step-by-step explanation:

:)

In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n

Answers

Answer:

2\6 is the ratio

Step-by-step explanation:

brainliest pls

step by step explenation

thank you

BRAINLIEST!!!!!
PLEASE HELPP
NO FILE HOSTING LINKS
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

the answer is 2.4 miles per day

What is the value of the expression 13/4 (8)? *

Answers

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

I think the answer is 26 have a nice day!

Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each
new chapter. She spends at least 10 hours per week studying French. Which graph could represent the possible
number of old chapters Vicky reviews, x, and new chapters Vicky learns, y, each week?

Answers

The answer is D

Step-by-step explanation:

The graph B is correct.

What is graph?

The pictorial representation of data is called the graph.

Given that, Vicky gives 1 hour reviewing each old chapter and 1.5 hours learning each new chapter.

She spends at least 10 hours per week studying French.

We need to find the graph for this relation,

Let the number of old chapters Vicky reviews be x, and new chapters Vicky learns be y,

Therefore,

x + 1.5 y ≥ 10

Put the graph for the same.

Since the inequality sign is '≥' so the shaded part will be above the line and the inequality sign involves both equal and inequality so the line will be solid line without the dash.

We get the second graph is the correct graph.

Hence the graph B is correct.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ2

what does b equal b=____

Answers

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c form a linear angle, so their sum is 180°. This means ...

  a + b + c = 180°

  b = 180° -(a +c)

Angles 'a' and 'c' are complementary, so their sum is 90°.

  b = 180° -90°

  b = 90°

__

We can also find the measures of the other angles in this geometry.

  a = 90° -c = 90° -56° = 34°

  e = c = 56° . . . . . . . . . vertical angles

In summary, ...

  a = 34°, b = 90°, c = 56°, d = 124°, e = 56°


A ball is thrown from an initial height of 2 feet with an initial upward velocity of 21 fts. The ball's height h (in feet) after seconds is given by the following.

Answers

Answer:

h(t)=

h(t)=vt-21t+2

Step-by-step explanation:

initial height =2

initial velocity=21ft/s

dh/dt=v

dh=vdt

intergrating both sides

h(t)-h(i)=vt-v(i)t

h(t)-2=vt-21t

h(t)=vt-21t+2

Which of the following options has a distance of 12 city blocks? Select three that apply.

Answers

Answer:

E

F

D

Step-by-step explanation:

That's what I am sorry if its wrong

Answer:

C, E and F

Step-by-step explanation:

−28 = 7b

Solve for b
Tell what you did to find b

Answers

Answer:

b= -4

Step-by-step explanation:

divide both sides by -27 and the you will get b =


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Angle VUX and angle WXU

are alternate interior angles

hope it helps

It’s angle VUX and WXU

Because alternate angles make z shapes and these angles make z shapes

Hope this helped

Find the distance between the two points rounding to the nearest tenth (8,7) and (1,-2)

Answers

Answer:

11

Step-by-step explanation:

The distance between them can be calculated using Distance Formula , the points here are (8,7) and (1,-2) . Using Distance Formula we have ,

⇒ D = √ [ (x_2 - x_1)² + (y_2 - y_1)² ]

⇒ D = √ [ (8-1)² + (7+2)² ]

⇒ D = √ [ 7² + 9² ]

⇒ D = √ [ 49 + 81 ]

⇒ D = √ 130

D = 11.401 units

Rounding off we have , 11.401 ≈ 11 units .

Hence the required answer is 11 units


1. Find the area of a circle with a diameter of 7
cm (Round to the nearest hundredth)

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

38.48

Step-by-step explanation:

Formulas:

Area of a circle = [tex]\pi r^2[/tex]  

r = [tex]\frac{1}{2}[/tex] diameter

Steps:[tex]\pi (7/2)^2[/tex] [tex]\pi (3.5)^2[/tex] 38.4845....

Thus, our final answer rounded to the nearest hundredth is 38.48 :) Hope this helps!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

Equation: 15x-2=11x+34

x=9

Angle: 133

Step-by-step explanation:

15x-2=11x+34

add 2 to both sides

15x=11x+36

-11x to both sides

4x=36

x=9

Answer:

15x-2=11x+34

exaplan

the two-line is parallel

Can someone help me pls

Answers

Solution:C=2πr=2·π·8≈50.26548

ROUND TO THE NEAREST TENTH: 50.3

Hope this helps! :)

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

Hannah factored the expression 24xy + 15y. Her work is shown below.



1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.

Answers

- She divided by 3 instead of the GCF.

- She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

- She didn’t undistribute the GCF from the original expression.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenarlo?​

Answers

Answer:

90(x)+50

Step-by-step explanation:

Because you are multiplying 90 by however many hours and adding a 50 dollar fee

someone please help me answer this!!!

Answers

Answer:

4.8 km is the answer.

Step-by-step explanation:

a = ?

b = 5 km

c = 7 km

According to the Pythagorean theorem,

a² + b² = c²

a² + 5² = 7²

a² + 25 = 49

a² = 49 - 25

a² = 24

a = 4.8989

Round to the nearest tenth,

a = 4.8 km

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