Points "in common with the x-axis" are also known as the roots of the quadratic equation . You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.
The root formula for a generic quadratic is as follows:
The expression under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).
So, let's take a look:
This means the parabola will intercept the x-axis at 2 points, two real roots.
Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).
Answer:
D. y = cot x
Step-by-step explanation:
Answer:
The correct answer is D) cot(x)
Step-by-step explanation:
We can tell this by the placement of the asymptotes. Each of them (0, pi 2pi, etc) are all at points where tan(x) = 0. As a result, we know that these would not exist on the graph of cot(x) since it is the inverse of tan(x)
3
1
4
Answer:
50
Step-by-step explanation:
Answer:
do whats in the parenthesis first
Step-by-step explanation:
so like this
7x^4[(6+3)-4]
7x^4[9-4]
7x^4+5
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Answer:
33 or 63
Step-by-step explanation:
6 +3= 9
7 x 4 = 28
9 - 4 = 5
28 + 5 = 33
9- 4 = 5
5 + 4 = 9
7 x 9 = 63
If p is false, E row represents when p ∨ (q ∧ r) is true.
A diagram in rows and columns showing how the truth or falsity of a proposition varies with that of its components.
If p is false, which row represents when p ∨ (q ∧ r) is true is; q ∧ r : q and r.
q r q∧r
T T T
T F F
F T F
F F F
The value of p ∨ (q∧r) is;
p OR (q AND r)
p q∧r p∨(q∧r)
F T∧ T=T T
F F∧T = F F
F T ∧ F=F F
F F ∧ F =F F
If P is false , The row which represents when p ∨ (q ∧ r) is true is →→F T T TWhich is Option E.
Hence, If p is false, E row represents when p ∨ (q ∧ r) is true.
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Answer:
C) F
Step-by-step explanation:
F, BECAUSE F IS THE MOST PARALLEL