Answer:
75+(-50)=75-50
Step-by-step explanation:
-let x be the profit made last week and y be the profit made this week.
-The two week profit/ loss is given as:

#We substitute actual values to calculate the profit/loss made:

Hence, the two-week combined profit is $25.00
Answer:
5:2
Step-by-step explanation:
$88
Explanation:
Adults $12x5 = 60
Child $7x 4=28
60+28=88
Answer:
The unit vector in component form is
or
.
Step-by-step explanation:
Let be
, its unit vector is determined by following expression:

Where
is the norm of
, which is found by Pythagorean Theorem:


Then, the unit vector is:


The unit vector in component form is
or
.
Answer:
Step-by-step explanation:
cot²(3x)=y
y²-3y+2=0
y²-y-2y+2=0
y(y-1)-2(y-1)=0
(y-1)(y-2)=0
y=1,y=2
cot3x=1
tan 3x=1=tan (π/4)=tan (nπ+π/4)
3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4
x=(4nπ+1)π/12,n is an integer.
cot 3x=2
tan 3x=1/2
3x=tan^{-1}(1/2)≈26.57°+360n
x≈8.86°+120n