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Sophie [7]
3 years ago
14

Share £747 in the ratio 2:7 between Tom and Ben. Tom will get £ Ben will get £

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

<em>tom \: will \: get \:£166  \\ ben \: will \: get   \: £581\\  solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x =  \frac{747}{9}  \\ x = £83 \\ replacing \: value \\ 2x \\  = 2 \times 83 \\  = 166 \\ 7x \\  = 7 \times 83 \\  = 581 \\ hope \: it \: helps</em>

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Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?
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Option B: 6x^2-10x+19 is the correct answer

Step-by-step explanation:

Given functions are:

f(x) = 3x^2-5x+13\\g(x) = 2x-7

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g(f(x)) = 2(f(x))-7\\= 2(3x^2-5x+13)-7\\=6x^2-10x+26-7\\= 6x^2-10x+19

Hence,

Option B: 6x^2-10x+19 is the correct answer

Keywords: Functions, Composition

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Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

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That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

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