Answer:
= is your answer
Step-by-step explanation:
Note the name of the symbols.
"<" means <em>less than</em>
">" means <em>greater than</em>
"=" means <em>equal</em>
"≤" means <em>less than or equal to</em>
"≥" means <em>greater than or equal to</em>
When x equals 3, it means x = 3
~
The function is

.
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in

, which gives 5.
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
Answer:
-8
Step-by-step explanation:
Since x = -18, we use the top formula
f(-18) = (x-6)/3
= (-18-6)/3
= -24/3
= -8
Answer:
0.006369
Step-by-step explanation:
Given that a test consists of 10 multiple choice questions, each with five possible answers, one of which is correct.
By mere guessing p = probability for a right answer = 1/5 =0.20
There are two outcomes and each question is independent of the other.
X no of questions right is Bin (10,0.20)
the probability that the student will pass the test
= prob of getting more than 60%
=
=0.006369
Answer:
YES
Step-by-step explanation:
YES