We are given the equation that is an inequality, y>x^2-6x+7. In this problem, we are asked to determine points that correctly coincide with the graph. In this case, all we have to do is to substitute x with the number and check whether the answer is less than y. If that is the case, that is the correct answer.
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
Differentiation - The value of g'(x) = .
<h3>
What is a differentiation?</h3>
Apart from integration, differentiation is among the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change predicated on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation. The rate of change of signal with respect to y has been given by dy/dx if x and y are two variables. The general representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.
Given that,
G(x) =
g’(x)=?
g’(x) is the derivative of g(x).
The derivative of
Then,
=
Hence, The derivative of g(x) is = .
To learn more about differentiation from the given link:
brainly.com/question/954654
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Pretty sure it’s c sorry if wrong
Answer:
Step-by-step explanation:
one yard=3 feet so
33ft < 51 feet