The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
<u>| -3 3 3 </u>
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
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Answer:
1075/42
Step-by-step explanation:

The domain and the range of an <em>exponential parent</em> function, that is, y = eˣ are equal to all <em>real</em> numbers and <em>non-negative</em> numbers, respectively. (Correct choice: C)
<h3>How to determine the domain and range of an exponential function</h3>
In this problem we should determine what an <em>exponential parent</em> function is. The most common <em>exponential</em> functions have the following form:
(1)
(1) is an <em>exponential parent</em> function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an <em>input</em> set related to the range, that is, an <em>output</em> set. In the case of an <em>exponential parent</em> function, the domain and the range of the expression are
and y ≥ 0, respectively. (Correct choice: C)
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The probability that a student participates in both sports and drama is
.
<h3>What is the formula for P(AUB), where A and B are any two events?</h3>
If
and
are any two events, then the probability of the joint event
is given by the following formula: 
Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.
Suppose
denotes that "a student participates in sports" and
denotes that "a student participates in drama".
So, we have
,
,
.
We want to find the probability that a student participates in both sports and drama i.e., we want to find
.
By the above formula, we obtain:

Therefore, the probability that a student participates in both sports and drama is
.
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Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.