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Mathematics

1 answer:

n200080 [17]3 years ago

5 0

I think it’s b because it would make the most sense I believe but I’m really sorry if I’m wrong

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Please help me with the below question.

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

#SPJ1

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2 years ago

If P = -4,3 and Q = 2,1 are the endpoints of the diameter of a circle, find the equation of the circle. Help pls :/ 30 points!!

ludmilkaskok [199]

Your answer is
(X+1)^2+(y+1)^2=13

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3 years ago

A pipe that is 3.1 meters long is placed vertically in a pond. Its lowest point is 1.5 meters under the water surface. How far a

bixtya [17]

The answer is 1.6 meters.

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4 years ago

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Complete this number sentence.

murzikaleks [220]

Answer:

carry the one?

Step-by-step explanation:

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3 years ago

Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay

avanturin [10]

First, we have to find 20% of $40.00 To find it, multiply 0.20 x $40.00 and you get $8

Now, take away the 20% away from $40.00
$40.00 - $8.00 = $32.00

Next, find 5% of $32.00 We have to multiply 0.05 x $32.00 and you get $1.60

We had $32.00 after the 20% discount, so add $32.00 + 1.60

Lydia paid $33.60 for her shirt.

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3 years ago

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