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Nadya [2.5K]
3 years ago
12

Factorise the following.​

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)

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If g(x) is a translation of f (x) =x^2 right by 5 units and down 3 units which is g(x) ? Please help me ASAP
Contact [7]

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + h) represents a horizontal translation of f(x)

• If h > 0 then a shift to the left of h units

• If h < 0 then a shift to the right of h units

Here the shift is 5 units right, thus g(x) = (x - 5)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 3 units down, thus g(x) = f(x) - 3

Hence

g(x) = (x - 5)² - 3 → C

5 0
3 years ago
7. The startup cost for a boutique is $15,000, and each floral arrangement costs $17 for the boutique to make. If each arrangeme
Snowcat [4.5K]

Answer:

1875 arrangements

Step-by-step explanation:

Break-Even is the point when costs are equal to profit.

The cost is 15,000

We need to cover this up with the profit we get from sales.

Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:

25 - 17 = 8

So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??

We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:

Number of Arrangements Needed to Break-Even = 15,000/8 = 1875

After 1875 arrangements, the boutique breaks even.

5 0
3 years ago
En una bandeja, hay 375 pasteles. Si quitásemos 59 pasteles de otra bandeja, en ambas habría igual número de pasteles.
ra1l [238]

Answer:

En una bandeja, hay 375 pasteles. Si quitásemos 59 pasteles de otra bandeja, en ambas habría igual número de pasteles.

<h2>En cada bandeja, ¿Cuántos pasteles hay?</h2>
6 0
3 years ago
Type the correct answer in the box. Spell all words correctly.
Crank

The comlete question with the diagram is in the picture attached.

Answer:

Point   \boxed{\text{   E    }}   is the vertex of the angle marked in the figure.

Explanation:

When two lines intersect each other they will form an <em>angle</em> and the intersection point will be the <em>vertex of the angle</em>.

In the figure attached, the line that joins the points A and B and the line that joins the points C and D intersect at the point E, forming the corresponding angle (shadowed in the figure).

Such intersection point, which marks the angle, is the vertex of the angle.

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Answer:

The answer is no

Step-by-step explanation:

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