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2 years ago

Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)

Mathematics

2 answers:

Ierofanga [76]2 years ago

8 0

Answer:

The sum of the polynomials in the equation is 3x² - 2x - 3

Step-by-step explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3

Anestetic [448]2 years ago

5 0

Answer:

3x^2 -2x -3

Step-by-step explanation:

Combine like terms

3-4x+8x^2-6+2x-5x^2

Put the numbers that are squared in the front

8x^2 -5x^2 =3x^2

Put the numbers with x only next

-4x + 2x= -2x

Then the normal numbers

3-6=-3

Put them together in simplified form of the equation

Thus your answer is 3x^2 - 2x -3

Hope this helps please mark brainliest!

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3 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.

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Area of the rectangle (2) = Length × Width

= 12 × 15

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= 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 = $\frac{\text{Total area}}{\text{Area covered by one tin}}$

= $\frac{370}{25}$

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3 years ago

Summer Dave builds a crate to hold vegetables the volume of the crate is 48 ft.³ the base area of the crate is 16 ft.² what is t

MariettaO [177]

The height of crate is 3 feet

<em><u>Solution:</u></em>

Given that Summer Dave builds a crate to hold vegetables

Volume of crate = 48 cubic feet

Base area of crate = 16 square feet

To find: height of crate

The crate is of shape cuboid

The volume of cuboid is given as:

$volume = length \times width \times height$

We know that,

$Area\ of\ base = length \times width$

Therefore, volume becomes,

$volume = base\ area \times height$

Substituting the given values we get,

$48 = 16 \times h\\\\h = \frac{48}{16}\\\\h = 3$

Thus height of crate is 3 feet

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2 years ago