Answer:
left limit = 2 ≠ 1/2 = right limit
Step-by-step explanation:
A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.
Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:
Then:
1) You must substitute into the expresion 
:
Now, you must evaluate:
2) You have to substitute the given value of "x" into the second expression:
Finally, evaluating, you get the following result:
3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting into the expression 
and then evaluating, you get:
4) By definition:
Then, substituting into 
and evaluating, you get:
5) Since:
When you substitute the given value of "x" into the last expression and then you evaluate, you get:
Let us assume number of n.
The number is decreased by 15.
Decreasing by 15 means, we need to subtract 15 from that number.
So, it would be come n-15.
Now, it is said that the number would become less than 2.
So, we need to setup an inequality:
n-15 is less than 2.
<h3>n-15 < 2 : required inequality .</h3>
Adding 15 on both sides, we get
n-15+15 < 2+15
n < 17.
<h3>So, we could say the number would be less than 17.</h3>
Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
<h3>What is the Length of an Arc?</h3>
Arc length = ∅/360 × 2πr
Since the sector formed is a quarter circle, then ∅ = 90°.
Raidus (r) = 70 ft
Distance from the starting point to the return point = arc length.
Arc length = ∅/360 × 2πr = 90/360 × 2π(70)
Arc length = 109.9 feet
Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
Learn more about the arc length on:
brainly.com/question/2005046
Answer:
Step-by-step explanation:
R = 3x + 9y
They told us that R = 7, y = 6
So you can rewrite the equation as:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
Subtract 54 from both sides.
7 - 54 = 3x
-47 = 3x
To find x, you need to divide both sides by 3
3x = -47
x = -47/3
