Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
Area = 1/2 x base x height
Area = 1/2 x 9 x 4
Area = 9 x 2
Area = 18 cm^2
The answer would be 747.50! Because if you were wanting to decrease the price then you would multiply $299 by 40% So since you are wanting to add to the price then you would divide...Hope that makes since :)
The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
The functions supplied appear to be the same? Regardless:
We have the equation y = 5x.
Therefore the gradient of this graph will be 5, so for every 1 increase in the y axis, there will be 5 in the x.
It will appear as a straight line passing through the origin and the point (1, 5).
