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3 years ago

Choose correct graph with following function

Mathematics

1 answer:

Vlad1618 [11]3 years ago

4 0

Answer:

The answer to your question is The second graph

Step-by-step explanation:

The general equation for a trigonometric is

Acos(Bx + C) + D

A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.

B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.

C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.

D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.

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Select the correct answer

Paladinen [302]

Answer:

a) We get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) We get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) We get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

Step-by-step explanation:

We are giving the polynomial equations:

$A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1$

We need to find

a) A+B

$A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\$

So, we get $\mathbf{A+B=x^2-2x+1}$

So, Is the result of A+B is a polynomial:Yes

b) A-B

$A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\$

So, we get $\mathbf{A-B=6x^3-7x^2+2x-1}$

So, Is the result of A-B is a polynomial:Yes

c) A . B

$A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2$

So, we get $\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}$

So, Is the result of A.B is a polynomial:Yes

7 0

3 years ago

Jackson drove 1,080 miles<br> in 20 hours. What was his<br> speed in miles per hour?

Darina [25.2K]

Answer:

54mph

Step-by-step explanation:

To find the speed in "miles per hour" or miles/hour, divide the number of miles by number of hours.

1080 miles/20 hours

= 54miles/hour

His speed is 54 miles per hour.

4 0

3 years ago

Solve the inequality for –5.3 ≥ 6.7 + 4.3 + q

Tom [10]

Answer:

-16.3 ≥ q

Step-by-step explanation:

–5.3 ≥ 6.7 + 4.3 + q

Combine like terms

–5.3 ≥ 11 + q

Subtract 11 from each side

–5.3-11 ≥ 11-11 + q

-16.3 ≥ q

5 0

3 years ago

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Pls help im not good at this

Triss [41]

Answer:

1641.36 is how much he will pay for that stuff in one year

Step-by-step explanation:

$1641.36

5 0

3 years ago

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H(x)=2x;find h(7) please help

bearhunter [10]

2? bc if x=7 then it equals 2(7) which is 14 sooo i believe either 7 or 2

5 0

3 years ago

Read 2 more answers