Answer:
You selected the correct answer: {x | x <<em> </em>-4 or x > 2}
Step-by-step explanation:
5(x - 2)(x + 4) > 0
Use FOIL method to expand (x - 2)(x + 4):
> 0
Distribute 5 into 
> 0
Divide all terms by 5 from both sides of the inequality:


Factor the trinomial:
(x + 4) ( x - 2) > 0
x < -4 or x > -2
Therefore, the solution set to the inequality is {x | x < -4 or x > 2}
<em>Interval notation: </em>(-∞, -4) ∪ (2, ∞)
Answer:
como es naturaleza HeS los de rosfentes lo 27
Let x = Initial Price
If we increase x by 5%, we are adding 0.05x
Therefore, the new price = x + 0.05x = 1.05x
If the ticket has increased by £2.30, £2.30 is 5% of the initial price, or 0.05x
0.05x = 2.30
x = 2.30/0.05
x = 46
Therefore, the price of the ticket before the increase was £46
You can also check this backwards by doing 46*0.05 = 2.30
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.