Answer;
S
=
2
(
(
−
y
+
11
2
,
y
−
7
2
)
2
+
4
−
3
(
−
y
+
11
2
,
y
−
7
2
)
)
y
x
=
−
y
2
+
11
2
x
=
y
2
−
7
2
Step-by-step explanation:
divide each term by y then simplify
Let us assume the number of cars parked after which John will start earning more than his fixed weekly salary = x
The fixed weekly salary of John = $300
The fee that John gets for parking each car = $5
Then we can get the equation as
5x = 300
x = 300/5
= 60
So from the above deduction we can see that John will earn the equal amount of his weekly pay after he parks 60 cars. Then it becomes obvious that parking car number 61, John will start earning more than what he gets as his fixed weekly salary. I hope you have understood the described method.
Firstly we calculate 37% of 4300
so 37% of 4300=37×4300/100=1591
now 1/5 of 1591= 1×1591/5= 318.2
Here is the equation:
You need to find f(3). To do that, substitute all the x's with 3:
The first thing you need to do is multiply 4 by 3. Multiply:
Here is your new equation:
To get your answer, you need to add 12 and 1. Add:
That means:
<em>If you have any questions, feel free to ask in the comments! :)</em>
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
