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.
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Yes, I believe that is correct.
So firstly, foil (x-8)(x-2): 
Next, remember that the vertex lies on the axis of symmetry, and the equation to find the axis of symmetry is 
(a = x^2 coefficient, b = x coefficient). Solve for the axis of symmetry as such:
So now that we know that the axis of symmetry is x = 5, we also know that's the vertex's x-coordinate (since the vertex falls on the axis of symmetry). Now plug in 5 for x in the original equation to solve for f(5):
So putting it together, the vertex of this equation is (5,-9).
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Answer:
a) the degree of the polynomial
b) count the x-intercepts, with attention to multiplicity
Step-by-step explanation:
The Fundamental Theorem of Algebra tells you the number of zeros of a polynomial is equal to the degree of the polynomial. That is, for some polynomial p(x), the number of solutions to p(x)=0 will be the degree of p.
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On a graph, a real zero of the polynomial will be an x-intercept. The "multiplicity" of a zero is the degree of the factor giving rise to that zero. When the multiplicity is even, the graph does not cross the x-axis at the x-intercept. The greater the multiplicity, the "flatter" the graph is at the x-intercept.
If all solutions (zeros) are distinct, then the number of real solutions can be found by counting the number of x-intercepts of the graph.
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By way of illustration, the attached graph is of a 6th-degree polynomial with 6 real zeros. From left to right, they are -1 (multiplicity 1), 1 (multiplicity 2), 4 (multiplicity 3). The higher multiplicities are intended to show the flattening that occurs at the x-intercept, and the fact that the graph does not cross the x-axis where the multiplicity is even.
Answer:
A rectangluar pyramid of height 8 mi measuring 8 mi and 10 mi along the base. 213.33 mi³ 3) A cone with diameter 18 mi and a height of 18 mi. 1526.81 mi³ 4) A sphere with a diameter of 16 cm. 2144.66 cm³ 5) A pyramid 11 yd tall with a right triangle for a base with side lengths 6 yd, 8 yd, and 10 yd. 88 yd³
Step-by-step explanation:
hope this helps if not let me know
