hi someone help with these two questions. Thanks

Hi Someone Help With These Two Questions. Thanks

Answers

Answer 1

Answer:

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]

   Any expression with negative exponent is not a polynomial.

b). [tex]4\sqrt{x}+5[/tex]

   Any expression having variable with square root is not a polynomial.

c). [tex]\frac{4x+5}{3x-1}[/tex]

   Any expression having variables in the form of a fraction is not a polynomial.

d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]

   It's a polynomial.

e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.


Related Questions

It costs Sarah $0.05 to send a text message. If her total charge for sending text messages was $1.45, how many texts did she send?

Answers

Answer:

29 text messages

Step-by-step explanation:

1.45 divided by .05 to get 29 text messages

Answer:

29

Step-by-step explanation:

well if 0.05x2 is 0.10, 0.05x10 is p.50 then 0.05x20 is 1.00 0.45 is one 0.05 away from .50, it is 1.45

it is 29

8. If
VW = 9x-11 and
SU = 16x - 12 find WT

Answers

Answer:

WT = 34

Step-by-step explanation:

The ultimate goal here to pinpoint what x is equivalent to. In a rectangle we know that the diagonals are congruent as well as the fact that they bisect each other. This means cutting in half. Using this knowledge we know VW = 9x - 11 is half of SU = 16x - 12.

Step One: Multiply 9x - 11 by 2.

2(9x - 11) = 18x - 22

Step Two: Set up your equation

18x - 22 = 16x - 12

Step Three: Solve for x

18x - 22 = 16x - 12

2x - 22 = -12

2x = 10

x = 5

Step Four: Substitute to check your work

16(5) - 12 = 68

9(5) - 11 = 34

Again, since the diagonals of a rectangle bisect each other VW = WT.

34 is half of 68 proving our findings.

The length of WT is 34.

What is Rectangle?

Rectangle is a two dimensional figure which has four sides and four angles and all the angles are right angles.

We have,

VW = 9x - 11

Diagonals of a rectangle bisect each other.

So, WT = 9x - 11

VT = 2(9x - 11)

Also, we have,

SU = 16x - 12

The two diagonals of a rectangle are equal.

2(9x - 11) = 16x - 12

18x - 22 = 16x - 12

18x - 16x = -12 + 22

2x = 10

x = 5

WT = 9x - 11 = (9 × 5) - 11 = 34

Hence the length of the line WT is 34.

Learn more about Rectangles here :

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Marisol rents a bike in a city she is visiting. If
she pays $10.50 to rent the bike for 14 minutes,
what is the average price per minute?

Answers

Answer:

$10.50 ×14 = 150

Step-by-step explanation:

espero que te sirve

$0.75 is the average price per minute.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

she pays $10.50 to rent the bike for 14 minutes,

i.e. the average price per minute is,

$10.50 /14

=$0.75

Hence, $0.75 is the average price per minute.

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At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?

Answers

445 .                       Answer:

Step-by-step explanation:

445 I think ………………………….

PLEASE HELPP I NEED TO GET A GOOD GRADE :(((((((((((((((9

Answers

Answer:

circumference = 2 π r

perimeter = 41.1 ,

Step-by-step explanation:

After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius

Answers

To find radius just divide diameter by 2
So the answer will be
6 divide 2 = 3mm

NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?

Answers

Answer:

Only 3 boards can be cut if they are whole

Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!

51 time 37 divided by 1 equals to what really need help failing

Answers

Answer:

(51*31)/1 = 1581

Step-by-step explanation:

I NEED HELP ASAP! THIS IS TIMED! WILL MARK BRAINLIEST IF ANSWER RIGHT!
What is the slope. Give answer in Decimal and Fraction.

Answers

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

Simplify the following:

7(−5v−8)

Answers

Answer:

[tex]-35v-56[/tex]

Step-by-step explanation:

Answer:−35−56

Step-by-step explanation:

7(−5−8)

7(−5v−8)−35−56

please answer no links

Answers

Answer:

56.54in^2

Step-by-step explanation:

Answer:

18π in^2 (roughly 56.5 in^2)

Step-by-step explanation:

The area of a semicircle is half the area of a circle. So the area would be 1/2πr² instead of πr².

Since the diameter is 12 inches, the radius would be half of that, making the radius r=12/2=6 inches.

Plugging in r=6 into our formula, we see that the area of the semicircle is 1/2π(6)²=1/2π(36)=18π inches^2

So your final area is 18π in^2 (roughly 56.5 in^2)

PLEASE HELP THIS IS URGENT>>>>NO LINKS!!

Answers

Answer:

i believe that the answer is c

Can someone please help me

Answers

Answer:

I think the answer is b

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

What C is essentially saying is that if the lines l and m intersect and form two angles next to each other that are equal then they will be 90 degrees

this is true because if two lines intersect they will form 4 angles and since vertical angles are equal the only way for adjacent angles to be equal is for everything to be 90 degrees which then makes the lines perpendicular

can someone help me please

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sum is formed by adding corresponding elements. For example, the lower right element (row 3, col 3) of the sum is 5+4 = 9

SOME ONE PLZ HELPPPPPPP
What is the 9th term for the following sequence?1, 4, 7, 10, …

Answers

Answer:

25

Step-by-step explanation: c:

Here is the order 1, 4, 7, 10, 13, 16, 19, 22, 25, 28

Find the volume of this cylinder.
Round to the nearest tenth.
10in
2in
[?] in3

Answers

Volume = rule area × height

__________________________

The rule is circle and the area of the circle finds using following formula :

Circle area = pi × radius^2

Circle area = 3.14 × 1^2

Circle area = 3.14

___________________________

Volume = 3.14 × 10

Volume = 31.4 in^3

The volume of cylinder having diameter 1 inches and height be 10 inches be 31.4 cubic inches.

What is volume?

Volume is amount of substance a container can hold in its capacity. Volume of cylinder is π[tex]r^{2} h[/tex] in which r is radius and h is height of cylinder.

How to calculate volume?

We have been given that the diameter of cylinder be 2 inches and height be 10 inches.We have to find the volume of cylinder.

Volume of cylinder=π[tex]r^{2} h[/tex]

Radius=2/2

=1 inch

Now put the value of radius and height in the formula of volume.

Volume=3.14*1*10

=31.4 cubic inches.

Hence the volume of cylinder is 31.4 inches.

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James raises chickens. He tracks the number of eggs his chicken lay at the end of each week. Is this relation a Function? Explain

Answers

Answer:

Yes it is a function.

Step-by-step explanation:

It is given that James raises chickens in his farm. and the chicken laid eggs on each day. James keeps a track of the number of eggs that his chicken laid at the end of each week.

This is a function because according to the definition of a function, if each of he input corresponds to exactly one output, then that relation is called as a function.

In this case, every week the chickens lay different number of eggs. So every week corresponds to the different number of eggs laid by the chicken. So it is a function.

Answer:

Yes it is a function because there is a domain/Input for each Range/Output

Step-by-step explanation:

If f(x) = 3x-2 and g(x) = x^2 +1, find (f +9)(x).

Answers

Answer:

D

Step-by-step explanation:

(f + g) (x) = f(x) + g(x)

= 3x - 2 + x^2 + 1

= x^2 + 3x - 1.

how much faster was jose jogging than edwin was walking in miles per hour​

Answers

Answer:

there is not enough info to answer this

Step-by-step explanation:

Answer: There is not enough information given to answer. You need to include how fast Jose and Edwin were jogging/walking.

Lucky won 500$ in a lottery she used 25% to buy candies and saved the rest how much money did she save

Answers

Answer:

$375

Step-by-step explanation:

If she spent 25%, then she saved 75%.

75% of $500 is 375. 500(0.75)

help me please !! Geometry

Answers

Okay, so all the angles of the triangle will add up to 180

You know one side is 104 and the other two are equal to each other.

180-104= 76

76 is both of the angles together so divide it by two to get 38

X=38

:)

$10,000 is what percent of $10,000?
Ples help me

Answers

Answer:

100%

Step-by-step explanation:

Answer:

100 percent

Step-by-step explanation:

This is very easy. Try learning it yourself as when you'll grow the stuff you are learning now will be essential to your learning. Your future learning depends on it.

What’s the answer I keep trying my best, but I still can’t get it !!!

Answers

Answer:

I think it is 22000 bc u place the 10 in the x spot and multiply.

find the value of x
−3x+5=−1

Answers

Answer:

It equals poop in the face.

Step-by-step explanation:

Good-Bye poopy face.

What is the length of the missing side? 7 and 12

Answers

Answer: 9.75

Step-by-step explanation:

if the missing side is the leg of the triangle. 13.89 if missing side is the hypotenuse


A. (-5,-)
B. (-2,-4)
C. (1.-6)
D. (-5.-5)

Answers

Link with answer in it is at the top
It’s b the answer is (-2,-4) hope this helps!!!

Simply the following: 3a x 2a x 4b

Answers

Answer:

24a²b

Step-by-step explanation:

Answer:

24a^2b

Step-by-step explanation:

3a*2a*4b

6a^2*4b

24a^2b

Please help me guys I need ur help

Answers

3.5 yr does this help?

Do this and I’ll pay u I need help

Answers

Answer:

69

"bring me my money"

Step-by-step explanation:

Look at this diagram:

Answers

Answer:

∠ GHE = 40°

Step-by-step explanation:

∠ IHE and ∠ GHE are adjacent angles and are supplementary, then

∠ GHE + ∠ IHE = 180°

∠ GHE + 140° = 180° ( subtract 140° from both sides )

∠ GHE = 40°

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