The correct answer to your question is 20x+25
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)
P is the distance between the vertex and either the directrix or focus, in this case p = 1.
a = 1/(4p) or 1/(4*1) or 1/4
write the equation in vertex form
y = a(x-h)^2 + k
y = 1/4(x-8)^2 -7
Answer:
y = 9
Step-by-step explanation:
So if x = 3, we can sub that into the equation.
This gives us:
6.4 (* 3) + 2.8y = 44.4
so:
19.2 + 2.8y = 44.4
25.2 = 2.8y
so
y = 9
Answer: x = -1
Step-by-step explanation:
You need to convert to the same base
![\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7D%20%20%3D%20%5Cfrac%7B1%7D%7B2%5E%7B4%7D%20%7D%20%3D%202%5E%7B-4%7D)
So
![2^{-4} = 2^{-2x-6}](https://tex.z-dn.net/?f=2%5E%7B-4%7D%20%3D%202%5E%7B-2x-6%7D)
For these values to be equal, the exponents have to be equal
-4 = -2x - 6
2 = -2x
x = -1
Cost of bag of soil = x-3 where x is the price of a flower pot
41=3x + 5(x-3)
41=3x + 5x -15
41=8x -15
41+15=8x
56=8x
56÷8=x
$7.00=x