Answer:
Step-by-step explanation:
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The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.
Given:
g(x) = 5/2 x -3 ..... (1)
f(x) = - 3.5 at x = 0
So, putting the value of x=0 in equation (1) for comparison. We get,
g(x) at x = 0
=> g(x) = 5/2 x (0) - 3
=> g(x) = -3
In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.
Similarly, put x = 1 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (1) - 3
=> g(x) = (5-6)/2
=> g(x) = -1/2
In this value of x function g(x) is faster than function f(x) having a value equal to -1.
Similarly, put x = 2 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (2) - 3
=> g(x) = (5-3)
=> g(x) = 2
In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.
Similarly, put x = 3 in equation (1) for comparison. We get,
=> g(x) = 5/2 x (3) - 3
=> g(x) = (15/2 - 3)
=> g(x) = 7.5 - 3
=> g(x) = 4.5
In this value of x function g(x) is faster than function f(x) having a value equal to 4.
Therefore, for all values of x function g(x) is faster than function f(x).
function f(x).
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Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
projected output in 2016 = ($1.8 B) x (0.916)
= $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B.
Answer:
(–1, 1) and (4, –2)
Step-by-step explanation:
we know that
The vertex of the right angle of the triangle could be situated at a point with the same x-coordinate of point A and the same y-coordinate of point B or at a point with the same x-coordinate of point B and the same y-coordinate of point A
we have
A(4, 1) and B(–1, –2)
so
a point with the same x-coordinate of point A and the same y-coordinate of point B is the point (4,-2)
a point with the same x-coordinate of point B and the same y-coordinate of point A is (-1,1)
therefore
(–1, 1) and (4, –2)
First of all, we need to know:
3^3 = 3 x 3 x 3 = 9 x 3 =
27So:
So, your answer is
D.