Answer:
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Take square root both sides
Adds 5 both sides
f(x) as a linear equation:
gradient = (12-4)/(4-2) = 4
y - 4 = 4(x - 2)
y = 4x - 4
Therefore f(x) = 4x - 4
g(x) = 10x - 4
Since it already started at 10 and it increases by one every level (x):
h(x) = x + 10
Therefore, since g(x) has the largest gradient (10x), it has the largest slope
The slope of the graph shows the rate of change, or, in this case, the rate of depreciation, which you are told is $100 per year. So, depending upon the units used in your graph, the slope will be 100/1, and since it is a decrease as the years increase, it will have a negative slope, i.e. -100/1.
Or, if you had drawn your graph with units of $100 dollars on the y-axis, then you might say that the slope was -1 / 1.
The corresponding formula would of course be
y = 600 - 100t
where y = value after t years, and (if you are into calculus) differentiating would give you
slope = dy/dt = -100
<span>as noted above.</span>
A^2 + B^2 = C^2
7^2 + B^2 = 25^2
49 + B^2 = 625
-49 -49
B^2 = 576
Square root both sides
B = 24
