Answer:
The general limit exists at <em>x</em> = 9 and is equal to 300.
Step-by-step explanation:
We want to find the general limit of the function:
By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.
So, let's find each one-sided limit: the left-hand side and the right-hand side.
The left-hand limit is given by:
<h3>
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Since the given function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
The right-hand limit is given by:
Again, since the function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
Thus, we can see that:
Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.
Answer:
Step-by-step explanation:
if your solving for x
x=36/5
if you are rewriting the equation it is 5x=36
80% or 4/5ths. Explanation: 1 dollar is 100 cents. 80/100 simplified is 4/5
8. Since A F is perpendicular to J K, you know angles J A F and K A F are congruent (both are right angles). Since A F bisects J K, you know the lengths of J A and K A are the same. Side A F is incident to both triangles, and of course the lengths A F = A F. So we have two side-angle-side triangles, and by the SAS postulate we have triangles J F K and K F A congruent to one another.
9. Yes. The corresponding sides in both triangles have the same lengths. (S K to K F; S J to F J; J K to itself) The claim then follows from the SSS postulate.
Answer:
No
Step-by-step explanation:
For a number to be divisible by 12, it has to be divisible by both 3 and 4. This number is divisible by 3 as the sum of its digits is 18, and 18 is divisible by 3. However, 459 is not divisible by 4 as it is an odd number. Because of this, 459 is not divisible by 12.