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Andrei [34K]
3 years ago
5

Lola's age is 14 more than 6 times Juan's age. The sum of their ages is 35. How old is each?

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

35 - 14 = 21

3 * 6 = 18

3.5 * 6 = 21

Thus Juan is around the age of 3.5 and Lola is 31.5 I believe

Im not quite sure however I think this is the answer, I hope it helps ^-^

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?​
sertanlavr [38]

Answer:

Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (x in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of f(x) and we must find the domain and range of g(x).

Domain

The domain of g(x) is the domain of f(x). That is, Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Range

We have to define the bounds of the range of g(x), given that range f(x) is modified by streching and horizontal translation operations:

Lower bound (f(x) = j)

g(x) = m\cdot j +p

Upper bound (f(x) = k)

g(x) = m\cdot k +p

In consequence, the range of g(x) is Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

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The trigonometric ratio will be Cos(n)=12/13

<h3>What will be the trigonometry ratio?</h3>

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

Cos(n)=\dfrac{adjacent}{Hypotenuse}

Cos(n)=\dfrac{MN}{LN}

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Cos(n)=\dfrac{12}{13}

Hence the required ratio will be   Cos(n)=\dfrac{12}{13}

To know more about trigonometry, follow

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