bearing in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1[x-(-1)]\implies y-7=x+1 \\\\\\ y=x+8\implies \boxed{-x+y=8}\implies \stackrel{\textit{standard form}}{x-y=-8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-7%3D1%5Bx-%28-1%29%5D%5Cimplies%20y-7%3Dx%2B1%20%5C%5C%5C%5C%5C%5C%20y%3Dx%2B8%5Cimplies%20%5Cboxed%7B-x%2By%3D8%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bstandard%20form%7D%7D%7Bx-y%3D-8%7D)
just to point something out, is none of the options, however -x + y = 8, is one, though improper.
Answer:
My example:
1. Get the equation in the form y = ax4 + bx + c
2. Calculate -b / 4a. This is the x coordinate of the vertex
3. To find the y coordinate of the vertex, simply plug the value -b / 4a into the equation for x and solve for y.
Step-by-step explanation:
y=2x^2 -16x +30
vertex: ( 4, -2)
Focus: (4, -15/8)
Axis of symmetry: x = 4
Directrix: y = -17/8
Here’s a picture if the formula. M is slope. X1 and Y1 are one coordinate and X2 and Y2 are the other.
Answer:
(4)($3)
Step-by-step explanation:
Given parameters:
Quantity of mushroom bought = 4.25pounds
Cost of each mushroom = $2.99
Unknown:
Best estimate for the cost of the mushroom = ?
Solution:
The cost of the mushroom is:
Total cost = quantity of mushroom bought x cost of each mushroom
Total cost = 4.25 x 2.99
You can round 4.25 to 4 and 2.99 to 3
Or 4 x 3 = $12
