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Harrizon [31]
3 years ago
13

Which statement justifies that 3x² − 2x − 4 multiplied by 2x² + x − 3 obeys the closure property of multiplication?

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Step-by-step explanation:

(3x2 - 2x - 4) (2x2 + x - 3)

6x4 + 3x3 - 9x2 - 4x3 - 2x2 + 6x - 8x2 - 4x + 12

Solving like terms

6x4 - x3 - 19x2 + 2x + 12

scZoUnD [109]3 years ago
3 0

Answer:

C) The result 6x⁴ − x³ − 19x² + 2x + 12 is a polynomial.

Step-by-step explanation:

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3.

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3) \\= 3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication, we can come to the conclusion that when we multiply the two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is:

C) The result 6x⁴ − x³ − 19x² + 2x + 12 is a polynomial.

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Write an equation of the line in either point slope or slope intercept form that passes through the points (3,5) and (2,-2). (Hi
Jobisdone [24]

Answer:

Step-by-step explanation:

slope= y2-y1 / x2-x1

= -2-5 / 2-3

= -7 / -1

= 1

6 0
2 years ago
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
3 years ago
Read 2 more answers
the equation of line t is 6x+5y=3, and the equation of line q is 5x-6y=0. Which statement about the two lines is true?
nekit [7.7K]
The correct answer would be: 6x+5y=3. I am not entirely sure, but that's what I believe is the correct answer.-Hope this helped!
4 0
3 years ago
What is 2/9n-5=2+5/9n<br> Btw its solving equations with variables on both sides
vova2212 [387]

Answer:

n=-0.04761

Step-by-step explanation:

given 2\div 9n-5=2+5\div 9n

2\div 9n-5\div 9n=2+5

\frac{2-5}{9n}=7

-3=7\times 9n

63n=-3

n=\frac{-3}{63}=-0.04761

n=-0.04761 answer

4 0
3 years ago
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