Hey there,
There are 2 ways
1st way:
Since there are 8 5 point problems, 38 - 8 = 30, will give you the 2 point problems.
2nd way:
8 x 5 = 40
100 - 40 = 60
60 / 2 = 30
Thus there are 30, 2 point problems.
Hope this helps :))
~Top
9=3^2
3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
Answer: f(x)= 3x + 10 and g(x)= 2x - 4
(f+g)(x)= 3x + 10 + 2x - 4
3x + 2x + 6
5x + 6
b and c
Step-by-step explanation:
Answer: at the values where cos(x) = 0Justification:1) tan(x) = sin(x) / cos(x).
2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.
3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.
Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.
You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
The shading is below the line so it is y ≤ and then the slope is -1/3x because when you go down 1 and 3 units to the right, you get another point. And lastly, the y-intercept is 1.
I hope this helps