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irina1246 [14]
3 years ago
6

Split £20 in the ratio 2:3

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Hi friend,

The objective is to divide $20 in 2:3 ratio.

One part be 2x, another part is 3x

Sum of them = 20

2x + 3x = 20

5x = 20

x=4

So therefore one part must be 2x = 2 x 4 = 8

Another part = 3x = 3 x 4 = 12

Hence it is divided in 2:3 ratio.

Hope my answer is helpful to u. :)

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [
Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9

Computing the first derivative:

f' ( x ) = - 6 x^3 + 54 x - 108

We find the critical points equating f'(x) to zero

- 6 x^3 + 54 x - 108=0

Simplifying by -6

x^2 -9 x +18=0

We get the critical points

x=3,\ x=6

They define the following intervals

(-\infty,3),\ (3,6),\ (6,+\infty)

Thus A=3 and B=6

3 0
3 years ago
Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
Kay [80]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Which statement describes the lines whose equations are y=1/3x+12 and 6y=2x+6
ICE Princess25 [194]
First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.

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y = \frac{1}{3}x + 1

You can see that both lines have a slope of \frac{1}{3}.
Lines that have the same slope are parallel lines.
4 0
3 years ago
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BigorU [14]

Answer:

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Step-by-step explanation:

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5 0
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Komok [63]

Here the denominators are quadratics , so we need to factorise them first

1/(x²-5x) +3/(x²+2x-35)

factorising x²-5x ,

here GCF is x, so taking x out we have

x(x-5)

factorising x²+2x-35 using AC method,

we find factors of -35 that add up to give 2

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Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)

lcd is x(x-5)(x+7)

5 0
3 years ago
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