Curtis and Ben have 60 Marbles between them. how many do they each have if Curtis has 4 times as many as Ben

1) b+c=60
2) 4b=c 


so that...
5b=60 

and...
b=12
so we get: 
b=12, c=48

sqrt(x+4)=x+4

 
 
x=-4 
or 

x+4=1
x=-3 
solution set: {-3, -4}

Find a cubic function with integral coefficients having (4 + 3i) and -3 as roots

If coefficients are real and roots are complex, then roots occur in complex conjugate pairs:

 
(x-(4+3i))(x-(4-3i))(x-(-3)) =
x^3-5x^2+x+75

Find the value of x and y (x+5)/i+2y=5+i

1/i=-i
so...

Imaginary part:
-(x+5)=1
x=-6 

real part:
2y=5
y=5/2

does the sum of three consecutive odd integers equal an even integer

No, never. A sum of any three odd numbers will be odd: 
{2n+1) + (2m+1) + (2p+1)= 2(n+m+p)+2 + 1

Lamar is a software salesman. His base salary is 1700$ , and he makes an additional 70$ for every copy of History is Fun he sells. Let p represent his total pay (in dollars), and let n represent the number of copies of History is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 28 copies of History is Fun.

(n)=70n+1700 
so that 
P(28)=70(28)+1700=3660 
so he earns $3660.00

Solve the inequality. Write the solution set in interval notation. |5 - x| ≥ 3

 
means 
 
or 
 
which lead us to 
 
or
 

ie 
(-oo,2)U(8,oo)