Salutations!
let the number of men be x
2x + x = 24
combine the like terms
The ratio of men is 8
hope I helped (:
have a great day!
Answer: y=3x-7
Step-by-step explanation:
(2,2) and (-1,3) lie on the given line, so its slope is 
Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.
Substituting into point slope form,
Answer:
103. 32
Step-by-step explanation:
55.25 x .87 = 48.0675
55.25+48.0675 = 103.3175
You cannot divide by zero, because that is undefined, it approaches infinity, which is not a real value. Some would say that division by zero is "not allowed" :P
So in this case the divisor cannot equal zero.
x^2+4x+3=0 There are many methods to factor, I'll complete the square, just for conciseness (and it is good to know how the quadratic formula is derived)
Divide by the leading coefficient, which is just 1 in this case...
Move the constant to the other side, subtract 3 from both sides
x^2+4x=-3 Halve the linear coefficient, square it, then add that value to both sides...(4/2)^2=2^2=4
x^2+4x+4=1 Now the left side is a perfect square...
(x+2)^2=1 Take the square root of both sides
x+2=±√1 subtract 2 from both sides
x=-2±√1
x=-2±1
x=-3 and -1
So if the equation equals zero when x=-3 and -1, it's factors are:
(x+3)(x+1)
So x cannot equal -3 or -1, otherwise your original equation would have division by zero.
