im not sure if you want the solution or interval notation. i'll put both
solution: -oo < x < oo
interval notation: (-oo, oo)
Answer:
The answer to your question is a) C + J + S = 80
b) C = J + 5
c) S = 45 hours
Step-by-step explanation:
a) To represent the number of hours that they work together, just add the variables and equal them to 80.
Carlito + Juan + Sara = 80
C + J + S = 80 Equation l
b) Juan worked 5 hours more than Carlito
Juan = Carlito + 5
J = C + 5 Equation ll
c) Hours worked by Sara
S = 3J Equation lll
C = J - 5
Substitute equation ll and lll in equation l to find J
J - 5 + J + 3J = 80
5J = 80 - 5
5J = 75
J = 75/5
J = 15
-Find S
S = 3(15)
S = 45 hours
Das is disguised pythagorean theorme
the height is one leg
the distance from house is other leg
length of ladder=hyptoonuse
so
remmeber
if legs of right triangle are a and b and hyptonuse is c then
a²+b²=c²
so
legs are 15 and 20
15²+20²=c²
225+400=c²
625=c²
sqrt both sides
25=c
25ft is length of laddder
X would equal 1.732050807568877 because that squared equals 3. 2 * 3 = 6, and 6 - 6 = 0.
The rational root theorem states that the rational roots of a polynomial can only be in the form p/q, where p divides the constant term, and q divides the leading term.
In your case, both the leading term 5 and the constant term 11 are primes, so their only divisors are 1 and themselves.
So, the only feasible solutions are

For the record, in this case, none of the feasible solutions are actually a root of the polynomial.