Answer:
they are dependent
Step-by-step explanation:
<span>Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ</span>
Answer:
D: 48
Step-by-step explanation:
Daily cost of production; c(x) = 200 + 16x
when the number of complete products manufactured is 5, the cost is:
c(5) = 200 + 16(5)
= 200 + 80
= 280
c(5) = 280
When the number of complete products manufactured is 8, the cost is:
c(8) = 200 + 16(8)
= 200 + 128
= 128
c(8) = 328
Average rate of change = c(8) - c(5)
= 328 - 280
= 48
Thus, the average rate of change is 48.
Answer:-10/13
Step-by-step explanation:
3x+4 = (2/5)x + 2
First move the 4 to the other side by subtracting it.
it becomes : 3x = (2/5)x - 2
then multiply everything by 5 to get rid of the fraction.
it becomes 15x = 2x -10
then move the 2x to the other side by subtracting it.
you get 13x = -10
now you can divide everything by 13 to isolate the x.
and you get x = -10/13