Answer:
The answer to your question is The second graph
Step-by-step explanation:
The general equation for a trigonometric is
Acos(Bx + C) + D
A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1. So we discard the first graph.
B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.
C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.
D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.
A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:
y=x-3
(x+5) / (y+5)=5/6
we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20
y=x-3=-20-3=-23
Teh sum of the numerator an denominator=-20+(-23)=-43
Answer: -43
This is easy what you should do is plug in 4 for the x's in the rational expression and what it should look like when finished is: 12+4/4+4.
To remember the steps in which and equation should be solved is:
P=Parentheses
E=Exponents
M=Multiply
D=Division
A=Add
S=Subtract
So the answer to the equation is: 17
Hoped this helped you into solving more equations like this one. :)
the derivitive is just the slope
minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0
max happens when the derivitive goes from positive to negative
increaseing is when the derivitive is positive
so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)
A and B are wrong because the derivitive isn't 0 at those points
C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right
D is wrong then
answer is C
