2485 pounds of sand are being packed into bags that weigh 45 pounds each.
1 answer:
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You can use the sum of angles identities, then rearrange to put the result in the form of tangents.
Divide both sides by :
If , then
and more generally, for any integer ,
By looking at the graphs we can infer the equation that represents both functions. If we plot the equations in a graphing tool, we can easily find your points.
Please, see the attached image
Linear
f(x) = (-3/2)*x + 3
x = -3 ---------> y = 15/2 = 7.5
x = -2 ---------> y = 6
x = -1 ---------> y = 4.5
x = 0 ---------> y = 3
x = 1 ---------> y = 1.5
x = 2 ---------> y = 0
x = 3 ---------> y = -1.5
Exponential
g(x) = (1/2)^x
x = -3 ---------> y = 8
x = -2 ---------> y = 4
x = -1 ---------> y = 2
x = 0 ---------> y = 1
x = 1 ---------> y = 0.5
x = 2 ---------> y = 0.25
x = 3 ---------> y = 0.125
(1/2)^x = (-3/2)*x + 3
If we solve this equation, we get two values
x = -2.868 and
x = 1.81
