Let's use J for James's age and A for Austin's age. The equations are:
J = A - 4
3J + A² = 28
Just plug (A - 4) in the place of J in the second equation. This gives you:
3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
-->
A² + 3A - 40 = 0
-->
(A - 5)(A + 8) = 0
-->
A = 5 or -8
-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
Answer:
The answers to your questions are given below.
Step-by-step explanation:
From the question given above,
g(x) = 3 – 8x
Thus, we can complete the table given in question above as follow:
1. Determination of x
g(x) = 0
x =?
g(x) = 3 – 8x
0 = 3 – 8x
Collect like terms
0 – 3 = – 8x
– 3 = – 8x
Divide both side by –8
x = – 3 / –8
x = 3/8
2. Determination of g(x)
x = 0
g(x) =.?
g(x) = 3 – 8x
g(x) = 3 – 8(0)
g(x) = 3 – 0
g(x) = 3
3. Determination of x
g(x) = – 5
x =?
g(x) = 3 – 8x
– 5 = 3 – 8x
Collect like terms
– 5 – 3 = – 8x
– 8 = – 8x
Divide both side by – 8
x = – 8 / – 8
x = 1
4. Determination of g(x)
x = 3
g(x) =.?
g(x) = 3 – 8x
g(x) = 3 – 8(3)
g(x) = 3 – 24
g(x) = – 21
Summary
x >>>>>>>>>>>>>>> g(x)
3/8 >>>>>>>>>>>>> 0
0 >>>>>>>>>>>>>>> 3
1 >>>>>>>>>>>>>>>> – 5
3 >>>>>>>>>>>>>>> – 21
