Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
Answer:
Cost of per session the average rate is $45.
Step-by-step explanation:
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
It is required to find what is the cost per session.
Step 1 of 1
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
To find the cost of per session calculate the average rate.
Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

Now substitute, $125 for
, 260 for
for
and 5 for
then,

Cost of per session the average rate is $45.
9514 1404 393
Answer:
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
Step-by-step explanation:
The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...
8(x -2.75)
If Rita wants that profit to be $78, then she needs to solve the equation ...
8(x -2.75) = 78 . . . . correct equation
The solution is ...
x -2.75 = 9.75 . . . . divide by 8
x = 12.50 . . . . . . . . add 2.75
She needs to sell each necklace for $12.50.