Answer:
I. Hijo, h = 10 años
II. Padre, P = 40 años
Step-by-step explanation:
- Sea la edad del padre P.
- Sea la edad del hijo h.
Traduciendo el problema verbal a una expresión algebraica, tenemos;
P = 4h .....ecuación 1.
P + 5 = 3(h + 5) ........ecuación 2.
Simplificando aún más, tenemos;
P + 5 = 3h + 15
P = 3h + 15 - 5
F = 3h + 10 ......ecuación 3.
Sustituyendo la ecuación 1 en la ecuación 3;
4h = 3h + 10
4h - 3h = 10
<em>h = 10 años </em>
A continuación, encontraríamos la edad del padre;
P = 4h
P = 4 * 10
<em>P = 40 años</em>
Answer:
- 2
Step-by-step explanation:
The composition of inverse functions gives x
g(x) and
(x) are inverse functions, then
(g(x)) = x , thus
(g(- 2)) = - 2
Answer:
y = 9 + 19x
Step-by-step explanation:
To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y. If you do, you found your equation.
You have a big advantage here... since you have the value of y when x = 0.
When x = 0, y = 9, that's a very important data to have to simplify your research.
Let's try the value of 0 for x in each of the given equations:
y = 18 + 10 (0) = 18 --- NO
y = 9 + 19 (0) = 9 --- YES! We can confirm with another value of x:
y = 9 + 19 (1) = 28 --- YES! Confirmed!
y = 9 + 19x is your answer!