We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
.
.
does not exist as 
.
<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:
- .
- .
- does not exist as .
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Answer:
(x + 2)^2 + (y + 2)^2 = 16
Step-by-step explanation:
Answer:
<u>Commutative property:</u> states that the order in which we multiply numbers does not change the product.
<u>Associative property:</u> states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).
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Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have: 
.
If we factorize this quadratic function, we would have: 
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!
Hey there! :)
Since 2 4/5 is greater than 1/4, the answer is negative.
You can just subtract 2 4/5 and 1/4 and add the (-) sign
2 4/5 - 1/4
Change the fractions so they can have a common denominator: 20
2 4/5 = 2 16/20
1/4 = 5/20
2 16/20 - 5/20 = 2 11/20
Add the (-) sign → -2 11/20
Answer ⇒ -2 11/20
:)
