what are they asking you for?
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
3.331 , 3.313 , 3.133 , 1.333
Step-by-step explanation:
because it just is that way
Answer:
7 shirts
Step-by-step explanation:
The function for producing shirts is
f($) = 50 + 7.5(x), where x is the number of shirt
The function for selling shirts is
f($) = 15(x)
For there to be a profit, he must make more money selling the shirts than he spent on making the shirts
Therefore, 15(x) > 50 + 7.5(x)
15x > 50 + 7.5x
15x - 7.5x > 50
7.5x > 50
x > 6.67 shirts
To make a profit, Juan must sell at least 7 shirts
A the answer is 9.76
B: he paid with 10 dollar bill you have to subtract 10.00-9.76 he received 24 cents back!
