Answer:
1.x = pi/3 or 4pi/3
2. x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer
Step-by-step explanation:
1. sqrt(3) tan x = 3
Divide each side by sqrt(3)
sqrt(3)/sqrt(3) tan x = 3/sqrt(3)
tan x = sqrt(3) * sqrt(3)/sqrt(3)
tan x = sqrt(3)
Take the inverse of each side
arctan (tanx) = arctan (sqrt(3))
x = arctan (sqrt(3))
x =pi/3 or - 2pi/3
Since the domain is between 0 and 2pi, add 2pi to - 2pi/3 since the trig functions are circular
x = pi/3 or -2pi/3 + 6pi/3
x = pi/3 or 4pi/3
2. 3 tan x = -sqrt(3)
Divide each side by 3
3/3 tan x = -sqrt(3)/3
tan x = -sqrt(3)/3
Take the arctan of each side
arctan (tan x) = arctan ( -sqrt(3)/3)
x = arctan ( -sqrt(3)/3)
x =-pi/6 or 5pi/6
We want all values for x so add 2pi*n to each value where n is an integer
x = -pi/6 +2pi*n or 5pi/6 + 2pi *n where n is an integer
Hey there!
You can write out equations for both of these situations.
The first situation can be represented by f(x) = 382 + 2x, where 382 is the initial cost, x is the total amount of miles, 2x is the cost per additional mile, and f(x) equals to total that Jason has had to pay to drive his truck.
The second situation can be presented by g(x) = 379 + 5x, where 379 is the initial amount Jason will get paid, x is the amount of miles he's driven, 5x is the money he's being paid depending on how many miles he's driven, and g(x) is the total amount he's been paid.
You can graph these two equations on the computer or by hand to find where they will meet up. The place where they intersect will be the place where Jason breaks even. You can see on the graph I attached that, after one mile, the lines intersect and Jason spends and makes a total of 384 dollars.
Hope this helped you out! :-)
Answer:
30 students they are including the students that are also planning to participate in other sports to.
F(x)=-9/x which is equal to:
f(x)=-9x^(-1) So the power rule for differentiation is used...
Power rule: f(x)=x^e, df/dx=ex^(e-1) so:
df/dx=-9(-1)x^(-1-1)
df/dx=9x^(-2) or if you prefer...
df/dx=9/x^2
df/dx(6)=9/36=1/4
Answer:
b
Step-by-step explanation: