Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by
x coordinate =
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
Solve for x and graph the solution on the number line below.
Add 5 to both sides
Simplify
Multiply both sides by - 1 (reverse the inequality)
Simplify
Add 5 to both sides
Simplify
Multiply both sides by (reversing the inequality)
Simplify
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Learn more about inequalities brainly.com/question/20383699
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For this case, we have that by definition, the area of a triangle is given by:
where:
b: It's the base
h: It's the height
In this case we have:
Substituting:
Answer:
