Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3
To Find :-
- The algebraic equations to solve the above problem .
Solution :-
Let ,
- Large number = L
- Small number = S
— According to first statement ,
— According to second statement ,
- 3L + 4S = 54
- 3L + 4S - 54 = 0 .
These equations matches with the second option b .
Option b is the correct answer.
There are 138 female patients in the hospital.
<h3>Solving word problems involving ratios.</h3>
The solution to the word problem involving ratios in the given problem can be determined as follows.
From the given information:
The total number of people in the hospital = male + female
= 184 + x(unknown)
- If the ratio of male to female is 4: 3.
- The total ratio is 4+3 = 7
The ratio of males in the hospital is:


x = 322
The number of female patients in the hospital can now be computed as:

= 138 female patients
Check:
The total number of people in the hospital is:
= 184 + 138
= 322 patients
Learn more about word problems here:
brainly.com/question/13818690
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