Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2​

Answers

Answer 1

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

Answer 2

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

Learn more here: https://brainly.com/question/16467846


Related Questions

A takeaway sells 10inch pizzas

Answers

1024 ur welcome thanks

A window is twice as long as it is wide. The area of the window is 2x where x
is the width of the window. The window is surrounded by a frame that is 2 inches
on all sides. The area of the window and frame is 2x2 + 12x +16.
What is the area of the window frame?

Answers

Answer:

When we have a rectangle of length L and width W, the area is calculated as:

A = W*L

In this case, W = x, and the area is:

A = 2*x

Then we must have  L = 2.

We know that the area of the window and the frame (together) is:

a = 2*x^2 + 12*x + 16

The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)

area of the frame = a - A

                             = (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)

This is the area of the frame

Please help I am giving brainliest!

Answers

Answer:14 i think

Step-by-step explanation:

you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14

Answer:  C) 14

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

Work Shown:

Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.

Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.

Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).

Segment FD is ED-BC = 17-10 = 7 units long.

Let's apply the pythagorean theorem to find the hypotenuse CD

a^2 + b^2 = c^2

(CF)^2 + (FD)^2 = (CD)^2

(12)^2 + (7)^2 = (CD)^2

144 + 49 = (CD)^2

193 = (CD)^2

(CD)^2 = 193

CD = sqrt(193)

CD = 13.8924439894499 approximately

CD = 14

When rounding to the nearest whole number, segment CD is approximately 14 units long.

4. If (3 + bi) + (7 – 2i) = 10 + 6i, find the value of b.

Answers

Answer:

b = 8

Step-by-step explanation:

The real part of the givens add correctly.

bi - 2i = 6i         Add 2i to both sides.

bi = 6i + 2i

bi = 8i               The i's will cancel

b = 8

BRAINLY Find the surface area of the pyramid.

Answers

Answer:

100 square centimeters

Step-by-step explanation:

If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 196 feet?

Answers

Answer:

47,04 miles

Step-by-step explanation:

you can clearly see something 20 feet away that you should be able to see from that distance. If a person can see 6 miles from a height of 25 feet, by dividing 196 by 25 we can get the following calculation

196 ÷ 25 = 7,84

Then you gan multiply

7,84 × 6 = 47,04 miles

Or equal to 75703,542 meters

Camila has a younger brother and an older brother. One brother is 3 years younger than her
and the other is 5 years older than her. The sum of their ages is 74 years. Which of the
following is Camila's age?

Answers

Answer:

24

Step-by-step explanation:

Younger Brother- 21

Camila- 24

Older Brother- 29

21+24+29 = 74

9.
A line has equation 6x + 2y + 9 = 0
(a) Find the gradient of the line.
(b) Find where the line crosses the y-axis

Answers

Search in safari I need points

PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students

Answers

Answer:

its d 31 is 5 less than 36.....

The problem is as follows:

What is the perimeter of this shape?


14 3/5

12 4/5

10 2/5

10 2/5

8 1/2

4 1/2

First I changed all the denominators to 20, as that’s the LCM of all these fractions. Then I added like normal and came up with this answer:

58 71/20

Then I simplified and got
58 9/10

My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help.

Answers

10 2/5 is the answe

a tree measured 12 1/2 feet tall. over the next 5 1/2 years it grew to be 51 feet left. During 5 1/2 years, what was the average yearly growth rate of the tree?

Answers

Answer:

7 feet per year

Step-by-step explanation:

Average growth rate is the difference in growth over the period of the time:

(51 - 12 1/2) ÷ 5 1/2 = (102 - 25)/2 ÷ 11/2 = 77/2 × 2/11 = 7 feet / year

Show the prime factors for 36.
A) 4x9
B) None of these answers are correct.
C)1 x 36
D)2 x 2 x 3 X3
E)3 x 12

Answers

Answer:

D. 2x2x3x3

Step-by-step explanation:

2x2 is equal to 4

4x3 is equal to 12

12x3 is equal to 36

What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8

Answers

4y=32+x

y=32+x/4

32+x/4=mx+8

32+x=4mx+32

32-32+x=4mx

x=4mx

x/:=4m

1=4m

m=1/4

simply this expression cube root 16x^4 - cube root 2x​

Answers

Answer:

2x [tex]\sqrt[3]{2x}[/tex] - [tex]\sqrt[3]{2x}[/tex]

Step-by-step explanation:

you can take the cubed root of [tex]\sqrt{16x^4}[/tex] and make it become the cubed root of ∛(2)³ · 2 · x³ · x   which would equal 2x· ∛2x

I don't believe 2x· ∛2x - ∛2x can be simplified

A map has a scale of 2 cm to 10 km.
a
Rewrite the scale as a ratio in the form 1:n.

Answers

Answer:

1cm:5km

Step-by-step explanation:

Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor and School chancellor are correct in eliminating snow days for NYC school kids. Make sure to use evidence and personal connections to defend your position.

Answers

Answer:

I feel it is unfair to kids of today to require work in bad weather. Especially in harsh and even dangerous weather conditions. For me what if power goes out should I be required to do work?

Multiply H by 25 to get d Which scenario matches the relationship shown in the table

Answers

Answer:

Aditi makes 25 dollars an hour

Step-by-step explanation:

I did that too :)



Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and

4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?

Answers

Answer:

The manager can select a team in 61425 ways.

Step-by-step explanation:

The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can the manager select a team?

2 cashiers from a set of 10.

4 kitchen crews from a set of 15. So

[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]

The manager can select a team in 61425 ways.

There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous
Bird Sanctuary. The ratio of flamingos to parrots to herons is 10:7:3, respectively.
There are twice as many flamingos as chachalacas. How many chachalacas are at the
sanctuary?

Answers

9514 1404 393

Answer:

  75

Step-by-step explanation:

Since there are twice as many chachalacas as flamingos, the ratio of flamingos to parrots to herons to chachalacas is 10:7:3:5. This is a total of 25 ratio units. Each ratio unit stands for 375/25 = 15 birds, so the number of chachalacas is 5·15 = 75.

There are 75 chachalacas at the sanctuary.

Find the square root of the following numbers by division method.​

Answers

Step-by-step explanation:

to understand thisyou need to know about:square rootfinding square root by division methodPEMDAStips and formulas:

tips for finding square root by division method:

Group the digits in pairs, starting with the digit in the units placeThink of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps till all the periods have been taken uplet's solve:

solve the square roots using division method:

the picture is in the attachment

Answer:

1.6

4.6

8.3

9.2

Step-by-step explanation:

Hope it is helpful.....

Urgent!! Math!! What’s the answer to 2,3,4??

Answers

Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Can you help me....................................

Answers

Answer:

A ITS A

because 9*9*9 and it divides by 2

Answer:

I think it's B.

Step-by-step explanation:

I aperciate if u can help me fast

Answers

Answer:

30

Step-by-step explanation:

cos ^-¹ (20/23) = angle

angle = 29.59

round up = 30

hope it helps

PLEASE HELP ME DO MY MATH

Answers

Answer:

C

Step-by-step explanation:

The LCD is 6

Can someone explain this please?

Answers

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the cake. What is the minimum number of cakes you should bake?​

Answers

Answer:

2 cakes

Step-by-step explanation:

You need 2 cakes minimum for 6  people if she wants each person to get 1/5 of a cake.

y = -20 + 4 If z = 3.5, then y= y=-11 liz = -1, then y (Write your answer as a de z+y=1 lfz=0 then y 21 - y=5 l z= 4 then y PLEASE DETERMINE. THE VALUE OF X​

Answers

Answer/Step-by-step explanation:

If in the value of x into each given equation to find y:

✔️x = 3.5,

y = -2(3.5) + 4

y = -7 + 4

y = -3

✔️x = -1,

y = ½(-1) + 11 = -½ + 11

y = (-1 + 22)/2 = 21/2

y = 10.5

✔️x = 0

0 + y = 1

y = 1

✔️x = 4,

2(4) - y = 5

8 - y = 5

-y = 5 - 8

-y = -3

Divide both sides by -1

y = 3

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

The point on the graph is 4,21.

The left side or y is 3 every time and under or x is 1 each time.

1st point is 0,3 I think.

Step-by-step explanation:

Answer:

(4,21)

Step-by-step explanation:

x is the bottom line and y is the straight line (x,y) (I think)

1.
Write the equation, then find the value of x.

2.
What is the measure of

Answers

Answer:

1.

32+36+2x=180

2.

56

hope this helps

answer: 1) x=56 :), i can’t see the rest of the second question

In triangle UVW, UW is extended through point W to point X, angle VWX = (7x + 10), angle WUV = (2x + 20°, and angle UVW = (2x + 17)°. Find angle VWX.​

Answers

Serious Question That may give you 100% Verify right answer:

Do you have a Image since I already answer here the answer

Answer

5.0/5

7

oeerivona

Answer:

The value of x is 9°

Step-by-step explanation:

The given parameters are;

ΔUVW with side UW extended to X

m∠UVW = (3x + 4)°

m∠VWX = (8x -12)°

m∠WUV = (x + 20)°

We have that m∠UVW + m∠WUV  + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)

∴ m∠VWU = 180° - (m∠UVW + m∠WUV)

Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)

∴  m∠VWX + m∠VWU = 180° (Definition of supplementary angles)

m∠VWU = 180° - m∠VWX

∴ m∠VWX = (m∠UVW + m∠WUV)

Substituting the values, gives;

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

4x = 36

x = 36/4 = 9

x = 9°.

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