Answer:
C. 3.33 hours
Step-by-step explanation:
Use the algebra work equation:
=
+
, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person
Plug in the values we know:
=
+ 
=
+ 
= 
20 = 6tb
3.33 = tb
So, it would take them 3.33 hours when working together.
For all linear functions
f(x)=mx+b
m = slope
b = y-intercept (i.e.value of f(0), or value of y when x=0)
We're given
f(x)=-2x+5 => slope = -2, y-intercept=5
Examine the graph of g(x),
we have two intercepts (0,4) and (2,0)
this means slope=(0-4)/(2-0)=-2
y-intercept = 4 (y-value of (0,4)
therefore the equation of g(x)
g(x)=-2x+4 => slope = -2, y-intercept = 4
Means
A. slope of f(x)=slope of g(x) =-2
B. y-intercept of f(x)=5 > y-intercept of g(x)=4
Answer:

so whether the given equation is separable or not

the given equation is not separable because the argument inside the function is dependent on both x and y
even though we use the formula to open the sin(A-B) we would still get the function dependent on both x and y and the equation would get complicated so instead use any other method.
Answer:
3/12
Step-by-step explanation:
chocolate frosting would be 9/12
Integrating both sides once gives

where
is an arbitrary constant vector. Use the initial condition to find its value:


Integrate again:

where
is another arbitrary vector of constants. Use the other initial condition to determine its components:


Then the particular solution to this ODE is
