Answer:

Step-by-step explanation:
We are given quadratic equations as

and it can be factored as

now, we can multiply factor term

now, we can compare

so, we get


we are given that
'a' and 'b' are integers
so, we can find all possible factors


so, we can find k
At
:

we can plug values


At
:

we can plug values


At
:

we can plug values


At
:

we can plug values


So, values of k are

No because the sum could also be irrational number which for example it could be square root of 9 or 49
Hope this helps answer your question
Step-by-step explanation:
(1,1.5) is the solution but (12,4) is not the solution of given equation.
1.5=1/4×1+5/4(which is true)
4=1/4×12+5/4(which is false)
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students