Answer:
1 in 7
Step-by-step explanation:
Your one-digit choices: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
But they're nonzero, so: 1, 2, 3, 4, 5, 6, 7, 8, 9.
But they can't be repeated and 9 and 8 are used, so: 1, 2, 3, 4, 5, 6, 7.
Only 7 numbers left, so chances are, 1 in 7.
The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.
50
(16x + 21) and (16x - 6)
f(g(x)) = f(6 + 4x)
Applying the f(x) function on (6 + 4x) gives
4(6 + 4x) - 3
Which equals 16x + 24 - 3
= 16x + 21
g(f(x)) = g(4x - 3)
Applying the g(x) function on (4x - 3) gives
6 + 4(4x - 3)
Which equals 6 + 16x - 12
= 16x - 6
=900
