Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.
Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.
So both are important at some point, but it may be more important to learn deductive reasoning at first.
Given the graph of the function f(x) = (x - 4)(x + 1).
From the graph, it can be seen that the graph of the function describe a parabola facing up with the vertex at point (1.5, -6.25).
The x-intercepts of the graph are at points (-1, 0) and (4, 0) while the y-intercept is at point (0, -4)
The vertex of a parabola is the point in the parabola where the graph of the function stops decreasing and starts increasing, or vice-versa.
Thus, the function stops decreasing at point (1.5, -6.25) and then starts increasing, this means that for values of x < 1.5 the function is decreasing and since 0 < 1.5, hence, the function is decreasing for the values of x < 0. Hence, the statement that "the function is increasing for all real values of x where x < 0" is not true.
Similally, Given that the function stops decreasing at point (1.5, -6.5), this means that for values of x < 1.5 the function is decreasing and since -1 < 1.5, hence, the function is decreasing for the values of x < -1.
Thus, the statement that the function is increasing for all real values of x where x < –1 and where x > 4 is not true.
<span>With the explanations given above, it can also be seen that the statement that "the function is decreasing for all real values of x where –1 < x < 4" is also not true.</span>
The percent of the mark down would be 10%. If you subtract 81 from 90, you get 9. Then divide 90 by 9 and you get 10. Hope this helps!
Answer:
6 groups of marbles
Step-by-step explanation:
If we do 30 divided by 5 we get 6! Have a nice day!
-Alpha
