Answer:
Step-by-step explanation:
No . B' (reflection of B) and C' (reflection of C) are in the right position, but D' should be at (4, 1) and A' should be at (-2,-4).
8. 70.5* 10. 30* 12. 5.1*
A function is a rule that assigns exactly one output to a given input. The input is taken from a set called the domain, and the corresponding output belongs to a set called the range.
1. In this exercise, we're calling the pool of patients 1-8 the domain, and the pool of nurses A-D the range. The given table describes a function because any patient is assigned to only one nurse.
2. This wouldn't be a function if at least one patient was assigned to more than one nurse. If this were to happen in practice, the patient could be, say, given the same dose of some medicine twice if the nurses aren't careful.
3. Making the nurse pool the domain and the patient pool the range would give a relation that is not a function, since more than one patient is assigned to one nurse.
An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.
<h3>What is a quadratic equation?</h3>
A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
![x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%5C%3B%20%5Cpm%20%5C%3B%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
From the information provided, we have the following values;
0 = -3x² - 2x + 6
Where:
a = -3
b = -2
c = 6
Substituting the values into the quadratic formula, we have;
![x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-%28-2%29%5C%3B%20%5Cpm%20%5C%3B%5Csqrt%7B%28-2%29%5E2%20-%204%28-3%29%286%29%7D%7D%7B2%28-3%29%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B2%5C%3B%20%5Cpm%20%5C%3B%5Csqrt%7B4%5E2%20-%204%28-3%29%286%29%7D%7D%7B2%28-3%29%7D)
Read more on quadratic equation here: brainly.com/question/4053652
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