Answer:
y = (-7/3)(x - 9)
Step-by-step explanation:
<em><u>(12, - 7)</u></em>
y = a(x - h)^2
-7 = a(12 - h)^2
- 7 = a(144 - 24x + h^2)
<em><u>(9,0)</u></em>
0 = a(x - h)^2
0 = a(9 - h)^2
0 = a(81 - 18h + h^2)
From (9,0) we can conclude that
a = 0
or
(9 - h)^2 = 0
Let's try the second possibility.
Take the square root of both sides.
9 - h = sqrt(0)
Add h to both sides
9 - h = 0
h = 9
So now what we have is
y = a(x - 9)
Use the first equation to get a
-7 = a(12 - 9)
-7 = a(3)
-7/3 = a
Answer
y = (-7/3)(x - 9)
Answer:
{-14, 4}
Step-by-step explanation:
the absolute value function only makes sure that the result always has a positive sign.
so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.
so,
x + 5 = 9
x = 4
and
x + 5 = -9
x = -14
that gives us the correct set of solutions as indicated above.
Just answering for a task
Let's say that x represents hours that Elizabeth volunteers over 1 week. Katie volunteers x+3 and Siobhan x-1 hours per week. The equation that arises from condition in text is:
3*(x+3) = 3*(x + x-1)
x+3 = 2*x - 1
2*x - x= 3+1
x=4.
Elizabeth volunteers 7 hours
Katie volunteers 4 hours
Siobhan volunteers 3 hours
