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inessss [21]
3 years ago
6

Which statement shows how two polynomials 3x + 6 and 5x2 − 4x demonstrate the closure property when multiplied?

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

15x^3+18x^2-24x

Step-by-step explanation:

it is a polynomial

Novosadov [1.4K]3 years ago
5 0

Answer:

15x^3+18x^2-24x is a polynomial.

B is correct

Step-by-step explanation:

Given: 3x+6 and 5x^2-4x

There are two polynomial with each has two term.

Using closure property multiplied both polynomial.

  • If multiply two polynomial then result must be a polynomial with higher degree of previous two.

Product of 3x+6 and 5x^2-4x

\Rightarrow (3x+6)(5x^2-4x)

\Rightarrow 3x\cdot 5x^2-3x\cdot 4x+6\cdot 5x^2-4x\cdot 6

\Rightarrow 15x^3-12x^2+30x^2-24x

Combine the like terms

\Rightarrow 15x^3+18x^2-24x

This is a polynomial with degree 3

Hence, The product of 3x+6 and 5x^2-4x is a polynomial.

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How do I solve this and what kind of formula is it?
soldier1979 [14.2K]

Answer:

160

Step-by-step explanation:

The measure of an arc is always twice the degree of the corresponding angle inside the circle. For example, the measure of arc DC is just double the measure of angle DOC; angle DOC is 44 degrees, so arc DC must be 88 degrees.

Angle COB is 80 degrees, so arc CB is 160 degrees.

5 0
3 years ago
A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Rom4ik [11]

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

5 0
3 years ago
Name at least two independent variables that could result in a change in a monthly electric bill
CaHeK987 [17]

Answer:

1. The amount of time you keep your porch light on.

2. The temperature you keep your air conditioner at.

Step-by-step explanation:

<u>Porch Light Time Example: </u>

The light does not turn on or off based on the bill, thus its independent, but the bill is effected by the amount of time the light is on thus dependent.

You keep your porch light on for 24 hours a day for 1 month, that month your electricity bill is $50.

Next month you keep your porch light on for 12 hours a day and your electricity bill is $40.

<u>Air Conditioner Temp Example: </u>

The thermostat temperature is not effected by the bill, thus its independent, but the bill is effected by the thermostat, thus dependent.

You set your thermostat to 70 degrees for 1 month, that month your electricity bill is $50.

Next month you set your thermostat to 75 degrees for 1 month, that month your electricity bill is $40.

7 0
2 years ago
A cube has the letters A, X, E, U, T, and R on its faces. What is the probability P(X or V)?
grigory [225]
Since there are 6 possibilities, the probability of rolling either an X or V is:

2/6    or simplified   1/3     So, B. 1/3 is the correct answer!
3 0
3 years ago
Which table shows a proportional relationship between x and y?<br><br>​
nekit [7.7K]

Answer:D

Step-by-step explanation:

This is D because your dividing by 5 or each one and thats how you get Your output number

6 0
3 years ago
Read 2 more answers
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