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3 years ago

The sum of two numbers is eleven. One number is thirty-eight less than six times the other. Find the numbers.

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

Answer:

One of the number is 4 while the other is 7

Step-by-step explanation:

The sum of two numbers is eleven

Let the numbers be x and y

X+ y = 11

One number is thirty-eight less than six times the other

X= 6y-38

X+ y = 11

6y-38 +y= 11

6y+y= 11+38

7y=49

Y= 49/7

Y= 7

X+ y = 11

X+7= 11

X= 11-7

X= 4

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tresset_1 [31]

We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

To learn more on piecewise function: brainly.com/question/12561612

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