Answer:
592
Step-by-step explanation:
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Since MN forms a 180 degree angle, if you subtract 148.7 from 180, you get 31.3 degrees. This means angles L and N are both 31.3 degrees. Since the parallelogram is 360 degrees total, you subtract 62.6 to account for angles L and N. The remaining degrees unaccounted for are 297.4 degrees which you then divide by two to get the value of angles O and M, which would give you 148.7 degrees for each O and M. This means that angle x is 148.7 degrees
y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4